xref: /petsc/src/ts/tutorials/ex11.c (revision c4762a1b19cd2af06abeed90e8f9d34fb975dd94)
1*c4762a1bSJed Brown static char help[] = "Second Order TVD Finite Volume Example.\n";
2*c4762a1bSJed Brown /*F
3*c4762a1bSJed Brown 
4*c4762a1bSJed Brown We use a second order TVD finite volume method to evolve a system of PDEs. Our simple upwinded residual evaluation loops
5*c4762a1bSJed Brown over all mesh faces and uses a Riemann solver to produce the flux given the face geometry and cell values,
6*c4762a1bSJed Brown \begin{equation}
7*c4762a1bSJed Brown   f_i = \mathrm{riemann}(\mathrm{phys}, p_\mathrm{centroid}, \hat n, x^L, x^R)
8*c4762a1bSJed Brown \end{equation}
9*c4762a1bSJed Brown and then update the cell values given the cell volume.
10*c4762a1bSJed Brown \begin{eqnarray}
11*c4762a1bSJed Brown     f^L_i &-=& \frac{f_i}{vol^L} \\
12*c4762a1bSJed Brown     f^R_i &+=& \frac{f_i}{vol^R}
13*c4762a1bSJed Brown \end{eqnarray}
14*c4762a1bSJed Brown 
15*c4762a1bSJed Brown As an example, we can consider the shallow water wave equation,
16*c4762a1bSJed Brown \begin{eqnarray}
17*c4762a1bSJed Brown      h_t + \nabla\cdot \left( uh                              \right) &=& 0 \\
18*c4762a1bSJed Brown   (uh)_t + \nabla\cdot \left( u\otimes uh + \frac{g h^2}{2} I \right) &=& 0
19*c4762a1bSJed Brown \end{eqnarray}
20*c4762a1bSJed Brown where $h$ is wave height, $u$ is wave velocity, and $g$ is the acceleration due to gravity.
21*c4762a1bSJed Brown 
22*c4762a1bSJed Brown A representative Riemann solver for the shallow water equations is given in the PhysicsRiemann_SW() function,
23*c4762a1bSJed Brown \begin{eqnarray}
24*c4762a1bSJed Brown   f^{L,R}_h    &=& uh^{L,R} \cdot \hat n \\
25*c4762a1bSJed Brown   f^{L,R}_{uh} &=& \frac{f^{L,R}_h}{h^{L,R}} uh^{L,R} + g (h^{L,R})^2 \hat n \\
26*c4762a1bSJed Brown   c^{L,R}      &=& \sqrt{g h^{L,R}} \\
27*c4762a1bSJed Brown   s            &=& \max\left( \left|\frac{uh^L \cdot \hat n}{h^L}\right| + c^L, \left|\frac{uh^R \cdot \hat n}{h^R}\right| + c^R \right) \\
28*c4762a1bSJed Brown   f_i          &=& \frac{A_\mathrm{face}}{2} \left( f^L_i + f^R_i + s \left( x^L_i - x^R_i \right) \right)
29*c4762a1bSJed Brown \end{eqnarray}
30*c4762a1bSJed Brown where $c$ is the local gravity wave speed and $f_i$ is a Rusanov flux.
31*c4762a1bSJed Brown 
32*c4762a1bSJed Brown The more sophisticated residual evaluation in RHSFunctionLocal_LS() uses a least-squares fit to a quadratic polynomial
33*c4762a1bSJed Brown over a neighborhood of the given element.
34*c4762a1bSJed Brown 
35*c4762a1bSJed Brown The mesh is read in from an ExodusII file, usually generated by Cubit.
36*c4762a1bSJed Brown F*/
37*c4762a1bSJed Brown #include <petscdmplex.h>
38*c4762a1bSJed Brown #include <petscdmforest.h>
39*c4762a1bSJed Brown #include <petscds.h>
40*c4762a1bSJed Brown #include <petscts.h>
41*c4762a1bSJed Brown #include <petscsf.h> /* For SplitFaces() */
42*c4762a1bSJed Brown 
43*c4762a1bSJed Brown #define DIM 2                   /* Geometric dimension */
44*c4762a1bSJed Brown #define ALEN(a) (sizeof(a)/sizeof((a)[0]))
45*c4762a1bSJed Brown 
46*c4762a1bSJed Brown static PetscFunctionList PhysicsList;
47*c4762a1bSJed Brown 
48*c4762a1bSJed Brown /* Represents continuum physical equations. */
49*c4762a1bSJed Brown typedef struct _n_Physics *Physics;
50*c4762a1bSJed Brown 
51*c4762a1bSJed Brown /* Physical model includes boundary conditions, initial conditions, and functionals of interest. It is
52*c4762a1bSJed Brown  * discretization-independent, but its members depend on the scenario being solved. */
53*c4762a1bSJed Brown typedef struct _n_Model *Model;
54*c4762a1bSJed Brown 
55*c4762a1bSJed Brown /* 'User' implements a discretization of a continuous model. */
56*c4762a1bSJed Brown typedef struct _n_User *User;
57*c4762a1bSJed Brown typedef PetscErrorCode (*SolutionFunction)(Model,PetscReal,const PetscReal*,PetscScalar*,void*);
58*c4762a1bSJed Brown typedef PetscErrorCode (*SetUpBCFunction)(PetscDS,Physics);
59*c4762a1bSJed Brown typedef PetscErrorCode (*FunctionalFunction)(Model,PetscReal,const PetscReal*,const PetscScalar*,PetscReal*,void*);
60*c4762a1bSJed Brown typedef PetscErrorCode (*SetupFields)(Physics,PetscSection);
61*c4762a1bSJed Brown static PetscErrorCode ModelSolutionSetDefault(Model,SolutionFunction,void*);
62*c4762a1bSJed Brown static PetscErrorCode ModelFunctionalRegister(Model,const char*,PetscInt*,FunctionalFunction,void*);
63*c4762a1bSJed Brown static PetscErrorCode OutputVTK(DM,const char*,PetscViewer*);
64*c4762a1bSJed Brown 
65*c4762a1bSJed Brown struct FieldDescription {
66*c4762a1bSJed Brown   const char *name;
67*c4762a1bSJed Brown   PetscInt dof;
68*c4762a1bSJed Brown };
69*c4762a1bSJed Brown 
70*c4762a1bSJed Brown typedef struct _n_FunctionalLink *FunctionalLink;
71*c4762a1bSJed Brown struct _n_FunctionalLink {
72*c4762a1bSJed Brown   char               *name;
73*c4762a1bSJed Brown   FunctionalFunction func;
74*c4762a1bSJed Brown   void               *ctx;
75*c4762a1bSJed Brown   PetscInt           offset;
76*c4762a1bSJed Brown   FunctionalLink     next;
77*c4762a1bSJed Brown };
78*c4762a1bSJed Brown 
79*c4762a1bSJed Brown struct _n_Physics {
80*c4762a1bSJed Brown   PetscRiemannFunc riemann;
81*c4762a1bSJed Brown   PetscInt         dof;          /* number of degrees of freedom per cell */
82*c4762a1bSJed Brown   PetscReal        maxspeed;     /* kludge to pick initial time step, need to add monitoring and step control */
83*c4762a1bSJed Brown   void             *data;
84*c4762a1bSJed Brown   PetscInt         nfields;
85*c4762a1bSJed Brown   const struct FieldDescription *field_desc;
86*c4762a1bSJed Brown };
87*c4762a1bSJed Brown 
88*c4762a1bSJed Brown struct _n_Model {
89*c4762a1bSJed Brown   MPI_Comm         comm;        /* Does not do collective communicaton, but some error conditions can be collective */
90*c4762a1bSJed Brown   Physics          physics;
91*c4762a1bSJed Brown   FunctionalLink   functionalRegistry;
92*c4762a1bSJed Brown   PetscInt         maxComputed;
93*c4762a1bSJed Brown   PetscInt         numMonitored;
94*c4762a1bSJed Brown   FunctionalLink   *functionalMonitored;
95*c4762a1bSJed Brown   PetscInt         numCall;
96*c4762a1bSJed Brown   FunctionalLink   *functionalCall;
97*c4762a1bSJed Brown   SolutionFunction solution;
98*c4762a1bSJed Brown   SetUpBCFunction  setupbc;
99*c4762a1bSJed Brown   void             *solutionctx;
100*c4762a1bSJed Brown   PetscReal        maxspeed;    /* estimate of global maximum speed (for CFL calculation) */
101*c4762a1bSJed Brown   PetscReal        bounds[2*DIM];
102*c4762a1bSJed Brown   DMBoundaryType   bcs[3];
103*c4762a1bSJed Brown   PetscErrorCode   (*errorIndicator)(PetscInt, PetscReal, PetscInt, const PetscScalar[], const PetscScalar[], PetscReal *, void *);
104*c4762a1bSJed Brown   void             *errorCtx;
105*c4762a1bSJed Brown };
106*c4762a1bSJed Brown 
107*c4762a1bSJed Brown struct _n_User {
108*c4762a1bSJed Brown   PetscInt numSplitFaces;
109*c4762a1bSJed Brown   PetscInt vtkInterval;   /* For monitor */
110*c4762a1bSJed Brown   char outputBasename[PETSC_MAX_PATH_LEN]; /* Basename for output files */
111*c4762a1bSJed Brown   PetscInt monitorStepOffset;
112*c4762a1bSJed Brown   Model    model;
113*c4762a1bSJed Brown   PetscBool vtkmon;
114*c4762a1bSJed Brown };
115*c4762a1bSJed Brown 
116*c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal DotDIMReal(const PetscReal *x,const PetscReal *y)
117*c4762a1bSJed Brown {
118*c4762a1bSJed Brown   PetscInt  i;
119*c4762a1bSJed Brown   PetscReal prod=0.0;
120*c4762a1bSJed Brown 
121*c4762a1bSJed Brown   for (i=0; i<DIM; i++) prod += x[i]*y[i];
122*c4762a1bSJed Brown   return prod;
123*c4762a1bSJed Brown }
124*c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal NormDIM(const PetscReal *x) { return PetscSqrtReal(PetscAbsReal(DotDIMReal(x,x))); }
125*c4762a1bSJed Brown 
126*c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal Dot2Real(const PetscReal *x,const PetscReal *y) { return x[0]*y[0] + x[1]*y[1];}
127*c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal Norm2Real(const PetscReal *x) { return PetscSqrtReal(PetscAbsReal(Dot2Real(x,x)));}
128*c4762a1bSJed Brown PETSC_STATIC_INLINE void Normalize2Real(PetscReal *x) { PetscReal a = 1./Norm2Real(x); x[0] *= a; x[1] *= a; }
129*c4762a1bSJed Brown PETSC_STATIC_INLINE void Waxpy2Real(PetscReal a,const PetscReal *x,const PetscReal *y,PetscReal *w) { w[0] = a*x[0] + y[0]; w[1] = a*x[1] + y[1]; }
130*c4762a1bSJed Brown PETSC_STATIC_INLINE void Scale2Real(PetscReal a,const PetscReal *x,PetscReal *y) { y[0] = a*x[0]; y[1] = a*x[1]; }
131*c4762a1bSJed Brown 
132*c4762a1bSJed Brown /******************* Advect ********************/
133*c4762a1bSJed Brown typedef enum {ADVECT_SOL_TILTED,ADVECT_SOL_BUMP,ADVECT_SOL_BUMP_CAVITY} AdvectSolType;
134*c4762a1bSJed Brown static const char *const AdvectSolTypes[] = {"TILTED","BUMP","BUMP_CAVITY","AdvectSolType","ADVECT_SOL_",0};
135*c4762a1bSJed Brown typedef enum {ADVECT_SOL_BUMP_CONE,ADVECT_SOL_BUMP_COS} AdvectSolBumpType;
136*c4762a1bSJed Brown static const char *const AdvectSolBumpTypes[] = {"CONE","COS","AdvectSolBumpType","ADVECT_SOL_BUMP_",0};
137*c4762a1bSJed Brown 
138*c4762a1bSJed Brown typedef struct {
139*c4762a1bSJed Brown   PetscReal wind[DIM];
140*c4762a1bSJed Brown } Physics_Advect_Tilted;
141*c4762a1bSJed Brown typedef struct {
142*c4762a1bSJed Brown   PetscReal         center[DIM];
143*c4762a1bSJed Brown   PetscReal         radius;
144*c4762a1bSJed Brown   AdvectSolBumpType type;
145*c4762a1bSJed Brown } Physics_Advect_Bump;
146*c4762a1bSJed Brown 
147*c4762a1bSJed Brown typedef struct {
148*c4762a1bSJed Brown   PetscReal     inflowState;
149*c4762a1bSJed Brown   AdvectSolType soltype;
150*c4762a1bSJed Brown   union {
151*c4762a1bSJed Brown     Physics_Advect_Tilted tilted;
152*c4762a1bSJed Brown     Physics_Advect_Bump   bump;
153*c4762a1bSJed Brown   } sol;
154*c4762a1bSJed Brown   struct {
155*c4762a1bSJed Brown     PetscInt Solution;
156*c4762a1bSJed Brown     PetscInt Error;
157*c4762a1bSJed Brown   } functional;
158*c4762a1bSJed Brown } Physics_Advect;
159*c4762a1bSJed Brown 
160*c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_Advect[] = {{"U",1},{NULL,0}};
161*c4762a1bSJed Brown 
162*c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Advect_Inflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
163*c4762a1bSJed Brown {
164*c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
165*c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
166*c4762a1bSJed Brown 
167*c4762a1bSJed Brown   PetscFunctionBeginUser;
168*c4762a1bSJed Brown   xG[0] = advect->inflowState;
169*c4762a1bSJed Brown   PetscFunctionReturn(0);
170*c4762a1bSJed Brown }
171*c4762a1bSJed Brown 
172*c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Advect_Outflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
173*c4762a1bSJed Brown {
174*c4762a1bSJed Brown   PetscFunctionBeginUser;
175*c4762a1bSJed Brown   xG[0] = xI[0];
176*c4762a1bSJed Brown   PetscFunctionReturn(0);
177*c4762a1bSJed Brown }
178*c4762a1bSJed Brown 
179*c4762a1bSJed Brown static void PhysicsRiemann_Advect(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
180*c4762a1bSJed Brown {
181*c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
182*c4762a1bSJed Brown   PetscReal      wind[DIM],wn;
183*c4762a1bSJed Brown 
184*c4762a1bSJed Brown   switch (advect->soltype) {
185*c4762a1bSJed Brown   case ADVECT_SOL_TILTED: {
186*c4762a1bSJed Brown     Physics_Advect_Tilted *tilted = &advect->sol.tilted;
187*c4762a1bSJed Brown     wind[0] = tilted->wind[0];
188*c4762a1bSJed Brown     wind[1] = tilted->wind[1];
189*c4762a1bSJed Brown   } break;
190*c4762a1bSJed Brown   case ADVECT_SOL_BUMP:
191*c4762a1bSJed Brown     wind[0] = -qp[1];
192*c4762a1bSJed Brown     wind[1] = qp[0];
193*c4762a1bSJed Brown     break;
194*c4762a1bSJed Brown   case ADVECT_SOL_BUMP_CAVITY:
195*c4762a1bSJed Brown     {
196*c4762a1bSJed Brown       PetscInt  i;
197*c4762a1bSJed Brown       PetscReal comp2[3] = {0.,0.,0.}, rad2;
198*c4762a1bSJed Brown 
199*c4762a1bSJed Brown       rad2 = 0.;
200*c4762a1bSJed Brown       for (i = 0; i < dim; i++) {
201*c4762a1bSJed Brown         comp2[i] = qp[i] * qp[i];
202*c4762a1bSJed Brown         rad2    += comp2[i];
203*c4762a1bSJed Brown       }
204*c4762a1bSJed Brown 
205*c4762a1bSJed Brown       wind[0] = -qp[1];
206*c4762a1bSJed Brown       wind[1] = qp[0];
207*c4762a1bSJed Brown       if (rad2 > 1.) {
208*c4762a1bSJed Brown         PetscInt  maxI = 0;
209*c4762a1bSJed Brown         PetscReal maxComp2 = comp2[0];
210*c4762a1bSJed Brown 
211*c4762a1bSJed Brown         for (i = 1; i < dim; i++) {
212*c4762a1bSJed Brown           if (comp2[i] > maxComp2) {
213*c4762a1bSJed Brown             maxI     = i;
214*c4762a1bSJed Brown             maxComp2 = comp2[i];
215*c4762a1bSJed Brown           }
216*c4762a1bSJed Brown         }
217*c4762a1bSJed Brown         wind[maxI] = 0.;
218*c4762a1bSJed Brown       }
219*c4762a1bSJed Brown     }
220*c4762a1bSJed Brown     break;
221*c4762a1bSJed Brown   default:
222*c4762a1bSJed Brown   {
223*c4762a1bSJed Brown     PetscInt i;
224*c4762a1bSJed Brown     for (i = 0; i < DIM; ++i) wind[i] = 0.0;
225*c4762a1bSJed Brown   }
226*c4762a1bSJed Brown   /* default: SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for solution type %s",AdvectSolBumpTypes[advect->soltype]); */
227*c4762a1bSJed Brown   }
228*c4762a1bSJed Brown   wn      = Dot2Real(wind, n);
229*c4762a1bSJed Brown   flux[0] = (wn > 0 ? xL[0] : xR[0]) * wn;
230*c4762a1bSJed Brown }
231*c4762a1bSJed Brown 
232*c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_Advect(Model mod,PetscReal time,const PetscReal *x,PetscScalar *u,void *ctx)
233*c4762a1bSJed Brown {
234*c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
235*c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
236*c4762a1bSJed Brown 
237*c4762a1bSJed Brown   PetscFunctionBeginUser;
238*c4762a1bSJed Brown   switch (advect->soltype) {
239*c4762a1bSJed Brown   case ADVECT_SOL_TILTED: {
240*c4762a1bSJed Brown     PetscReal             x0[DIM];
241*c4762a1bSJed Brown     Physics_Advect_Tilted *tilted = &advect->sol.tilted;
242*c4762a1bSJed Brown     Waxpy2Real(-time,tilted->wind,x,x0);
243*c4762a1bSJed Brown     if (x0[1] > 0) u[0] = 1.*x[0] + 3.*x[1];
244*c4762a1bSJed Brown     else u[0] = advect->inflowState;
245*c4762a1bSJed Brown   } break;
246*c4762a1bSJed Brown   case ADVECT_SOL_BUMP_CAVITY:
247*c4762a1bSJed Brown   case ADVECT_SOL_BUMP: {
248*c4762a1bSJed Brown     Physics_Advect_Bump *bump = &advect->sol.bump;
249*c4762a1bSJed Brown     PetscReal           x0[DIM],v[DIM],r,cost,sint;
250*c4762a1bSJed Brown     cost  = PetscCosReal(time);
251*c4762a1bSJed Brown     sint  = PetscSinReal(time);
252*c4762a1bSJed Brown     x0[0] = cost*x[0] + sint*x[1];
253*c4762a1bSJed Brown     x0[1] = -sint*x[0] + cost*x[1];
254*c4762a1bSJed Brown     Waxpy2Real(-1,bump->center,x0,v);
255*c4762a1bSJed Brown     r = Norm2Real(v);
256*c4762a1bSJed Brown     switch (bump->type) {
257*c4762a1bSJed Brown     case ADVECT_SOL_BUMP_CONE:
258*c4762a1bSJed Brown       u[0] = PetscMax(1 - r/bump->radius,0);
259*c4762a1bSJed Brown       break;
260*c4762a1bSJed Brown     case ADVECT_SOL_BUMP_COS:
261*c4762a1bSJed Brown       u[0] = 0.5 + 0.5*PetscCosReal(PetscMin(r/bump->radius,1)*PETSC_PI);
262*c4762a1bSJed Brown       break;
263*c4762a1bSJed Brown     }
264*c4762a1bSJed Brown   } break;
265*c4762a1bSJed Brown   default: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unknown solution type");
266*c4762a1bSJed Brown   }
267*c4762a1bSJed Brown   PetscFunctionReturn(0);
268*c4762a1bSJed Brown }
269*c4762a1bSJed Brown 
270*c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_Advect(Model mod,PetscReal time,const PetscReal *x,const PetscScalar *y,PetscReal *f,void *ctx)
271*c4762a1bSJed Brown {
272*c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
273*c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
274*c4762a1bSJed Brown   PetscScalar    yexact[1];
275*c4762a1bSJed Brown   PetscErrorCode ierr;
276*c4762a1bSJed Brown 
277*c4762a1bSJed Brown   PetscFunctionBeginUser;
278*c4762a1bSJed Brown   ierr = PhysicsSolution_Advect(mod,time,x,yexact,phys);CHKERRQ(ierr);
279*c4762a1bSJed Brown   f[advect->functional.Solution] = PetscRealPart(y[0]);
280*c4762a1bSJed Brown   f[advect->functional.Error] = PetscAbsScalar(y[0]-yexact[0]);
281*c4762a1bSJed Brown   PetscFunctionReturn(0);
282*c4762a1bSJed Brown }
283*c4762a1bSJed Brown 
284*c4762a1bSJed Brown static PetscErrorCode SetUpBC_Advect(PetscDS prob, Physics phys)
285*c4762a1bSJed Brown {
286*c4762a1bSJed Brown   PetscErrorCode ierr;
287*c4762a1bSJed Brown   const PetscInt inflowids[] = {100,200,300},outflowids[] = {101};
288*c4762a1bSJed Brown 
289*c4762a1bSJed Brown   PetscFunctionBeginUser;
290*c4762a1bSJed Brown   /* Register "canned" boundary conditions and defaults for where to apply. */
291*c4762a1bSJed Brown   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "inflow",  "Face Sets", 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Advect_Inflow,  ALEN(inflowids),  inflowids,  phys);CHKERRQ(ierr);
292*c4762a1bSJed Brown   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "outflow", "Face Sets", 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Advect_Outflow, ALEN(outflowids), outflowids, phys);CHKERRQ(ierr);
293*c4762a1bSJed Brown   PetscFunctionReturn(0);
294*c4762a1bSJed Brown }
295*c4762a1bSJed Brown 
296*c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_Advect(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
297*c4762a1bSJed Brown {
298*c4762a1bSJed Brown   Physics_Advect *advect;
299*c4762a1bSJed Brown   PetscErrorCode ierr;
300*c4762a1bSJed Brown 
301*c4762a1bSJed Brown   PetscFunctionBeginUser;
302*c4762a1bSJed Brown   phys->field_desc = PhysicsFields_Advect;
303*c4762a1bSJed Brown   phys->riemann    = (PetscRiemannFunc)PhysicsRiemann_Advect;
304*c4762a1bSJed Brown   ierr = PetscNew(&advect);CHKERRQ(ierr);
305*c4762a1bSJed Brown   phys->data       = advect;
306*c4762a1bSJed Brown   mod->setupbc = SetUpBC_Advect;
307*c4762a1bSJed Brown 
308*c4762a1bSJed Brown   ierr = PetscOptionsHead(PetscOptionsObject,"Advect options");CHKERRQ(ierr);
309*c4762a1bSJed Brown   {
310*c4762a1bSJed Brown     PetscInt two = 2,dof = 1;
311*c4762a1bSJed Brown     advect->soltype = ADVECT_SOL_TILTED;
312*c4762a1bSJed Brown     ierr = PetscOptionsEnum("-advect_sol_type","solution type","",AdvectSolTypes,(PetscEnum)advect->soltype,(PetscEnum*)&advect->soltype,NULL);CHKERRQ(ierr);
313*c4762a1bSJed Brown     switch (advect->soltype) {
314*c4762a1bSJed Brown     case ADVECT_SOL_TILTED: {
315*c4762a1bSJed Brown       Physics_Advect_Tilted *tilted = &advect->sol.tilted;
316*c4762a1bSJed Brown       two = 2;
317*c4762a1bSJed Brown       tilted->wind[0] = 0.0;
318*c4762a1bSJed Brown       tilted->wind[1] = 1.0;
319*c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_tilted_wind","background wind vx,vy","",tilted->wind,&two,NULL);CHKERRQ(ierr);
320*c4762a1bSJed Brown       advect->inflowState = -2.0;
321*c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_tilted_inflow","Inflow state","",&advect->inflowState,&dof,NULL);CHKERRQ(ierr);
322*c4762a1bSJed Brown       phys->maxspeed = Norm2Real(tilted->wind);
323*c4762a1bSJed Brown     } break;
324*c4762a1bSJed Brown     case ADVECT_SOL_BUMP_CAVITY:
325*c4762a1bSJed Brown     case ADVECT_SOL_BUMP: {
326*c4762a1bSJed Brown       Physics_Advect_Bump *bump = &advect->sol.bump;
327*c4762a1bSJed Brown       two = 2;
328*c4762a1bSJed Brown       bump->center[0] = 2.;
329*c4762a1bSJed Brown       bump->center[1] = 0.;
330*c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_bump_center","location of center of bump x,y","",bump->center,&two,NULL);CHKERRQ(ierr);
331*c4762a1bSJed Brown       bump->radius = 0.9;
332*c4762a1bSJed Brown       ierr = PetscOptionsReal("-advect_bump_radius","radius of bump","",bump->radius,&bump->radius,NULL);CHKERRQ(ierr);
333*c4762a1bSJed Brown       bump->type = ADVECT_SOL_BUMP_CONE;
334*c4762a1bSJed Brown       ierr = PetscOptionsEnum("-advect_bump_type","type of bump","",AdvectSolBumpTypes,(PetscEnum)bump->type,(PetscEnum*)&bump->type,NULL);CHKERRQ(ierr);
335*c4762a1bSJed Brown       phys->maxspeed = 3.;       /* radius of mesh, kludge */
336*c4762a1bSJed Brown     } break;
337*c4762a1bSJed Brown     }
338*c4762a1bSJed Brown   }
339*c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
340*c4762a1bSJed Brown   /* Initial/transient solution with default boundary conditions */
341*c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_Advect,phys);CHKERRQ(ierr);
342*c4762a1bSJed Brown   /* Register "canned" functionals */
343*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Solution",&advect->functional.Solution,PhysicsFunctional_Advect,phys);CHKERRQ(ierr);
344*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Error",&advect->functional.Error,PhysicsFunctional_Advect,phys);CHKERRQ(ierr);
345*c4762a1bSJed Brown   mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
346*c4762a1bSJed Brown   PetscFunctionReturn(0);
347*c4762a1bSJed Brown }
348*c4762a1bSJed Brown 
349*c4762a1bSJed Brown /******************* Shallow Water ********************/
350*c4762a1bSJed Brown typedef struct {
351*c4762a1bSJed Brown   PetscReal gravity;
352*c4762a1bSJed Brown   PetscReal boundaryHeight;
353*c4762a1bSJed Brown   struct {
354*c4762a1bSJed Brown     PetscInt Height;
355*c4762a1bSJed Brown     PetscInt Speed;
356*c4762a1bSJed Brown     PetscInt Energy;
357*c4762a1bSJed Brown   } functional;
358*c4762a1bSJed Brown } Physics_SW;
359*c4762a1bSJed Brown typedef struct {
360*c4762a1bSJed Brown   PetscReal h;
361*c4762a1bSJed Brown   PetscReal uh[DIM];
362*c4762a1bSJed Brown } SWNode;
363*c4762a1bSJed Brown typedef union {
364*c4762a1bSJed Brown   SWNode    swnode;
365*c4762a1bSJed Brown   PetscReal vals[DIM+1];
366*c4762a1bSJed Brown } SWNodeUnion;
367*c4762a1bSJed Brown 
368*c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_SW[] = {{"Height",1},{"Momentum",DIM},{NULL,0}};
369*c4762a1bSJed Brown 
370*c4762a1bSJed Brown /*
371*c4762a1bSJed Brown  * h_t + div(uh) = 0
372*c4762a1bSJed Brown  * (uh)_t + div (u\otimes uh + g h^2 / 2 I) = 0
373*c4762a1bSJed Brown  *
374*c4762a1bSJed Brown  * */
375*c4762a1bSJed Brown static PetscErrorCode SWFlux(Physics phys,const PetscReal *n,const SWNode *x,SWNode *f)
376*c4762a1bSJed Brown {
377*c4762a1bSJed Brown   Physics_SW  *sw = (Physics_SW*)phys->data;
378*c4762a1bSJed Brown   PetscReal   uhn,u[DIM];
379*c4762a1bSJed Brown   PetscInt     i;
380*c4762a1bSJed Brown 
381*c4762a1bSJed Brown   PetscFunctionBeginUser;
382*c4762a1bSJed Brown   Scale2Real(1./x->h,x->uh,u);
383*c4762a1bSJed Brown   uhn  = x->uh[0] * n[0] + x->uh[1] * n[1];
384*c4762a1bSJed Brown   f->h = uhn;
385*c4762a1bSJed Brown   for (i=0; i<DIM; i++) f->uh[i] = u[i] * uhn + sw->gravity * PetscSqr(x->h) * n[i];
386*c4762a1bSJed Brown   PetscFunctionReturn(0);
387*c4762a1bSJed Brown }
388*c4762a1bSJed Brown 
389*c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_SW_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
390*c4762a1bSJed Brown {
391*c4762a1bSJed Brown   PetscFunctionBeginUser;
392*c4762a1bSJed Brown   xG[0] = xI[0];
393*c4762a1bSJed Brown   xG[1] = -xI[1];
394*c4762a1bSJed Brown   xG[2] = -xI[2];
395*c4762a1bSJed Brown   PetscFunctionReturn(0);
396*c4762a1bSJed Brown }
397*c4762a1bSJed Brown 
398*c4762a1bSJed Brown static void PhysicsRiemann_SW(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
399*c4762a1bSJed Brown {
400*c4762a1bSJed Brown   Physics_SW   *sw = (Physics_SW*)phys->data;
401*c4762a1bSJed Brown   PetscReal    cL,cR,speed;
402*c4762a1bSJed Brown   PetscReal    nn[DIM];
403*c4762a1bSJed Brown #if !defined(PETSC_USE_COMPLEX)
404*c4762a1bSJed Brown   const SWNode *uL = (const SWNode*)xL,*uR = (const SWNode*)xR;
405*c4762a1bSJed Brown #else
406*c4762a1bSJed Brown   SWNodeUnion  uLreal, uRreal;
407*c4762a1bSJed Brown   const SWNode *uL = &uLreal.swnode;
408*c4762a1bSJed Brown   const SWNode *uR = &uRreal.swnode;
409*c4762a1bSJed Brown #endif
410*c4762a1bSJed Brown   SWNodeUnion  fL,fR;
411*c4762a1bSJed Brown   PetscInt     i;
412*c4762a1bSJed Brown   PetscReal    zero=0.;
413*c4762a1bSJed Brown 
414*c4762a1bSJed Brown #if defined(PETSC_USE_COMPLEX)
415*c4762a1bSJed Brown   uLreal.swnode.h = 0; uRreal.swnode.h = 0;
416*c4762a1bSJed Brown   for (i = 0; i < 1+dim; i++) uLreal.vals[i] = PetscRealPart(xL[i]);
417*c4762a1bSJed Brown   for (i = 0; i < 1+dim; i++) uRreal.vals[i] = PetscRealPart(xR[i]);
418*c4762a1bSJed Brown #endif
419*c4762a1bSJed Brown   if (uL->h < 0 || uR->h < 0) {for (i=0; i<1+dim; i++) flux[i] = zero/zero; return;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Reconstructed thickness is negative"); */
420*c4762a1bSJed Brown   nn[0] = n[0];
421*c4762a1bSJed Brown   nn[1] = n[1];
422*c4762a1bSJed Brown   Normalize2Real(nn);
423*c4762a1bSJed Brown   SWFlux(phys,nn,uL,&(fL.swnode));
424*c4762a1bSJed Brown   SWFlux(phys,nn,uR,&(fR.swnode));
425*c4762a1bSJed Brown   cL    = PetscSqrtReal(sw->gravity*uL->h);
426*c4762a1bSJed Brown   cR    = PetscSqrtReal(sw->gravity*uR->h); /* gravity wave speed */
427*c4762a1bSJed Brown   speed = PetscMax(PetscAbsReal(Dot2Real(uL->uh,nn)/uL->h) + cL,PetscAbsReal(Dot2Real(uR->uh,nn)/uR->h) + cR);
428*c4762a1bSJed Brown   for (i=0; i<1+dim; i++) flux[i] = (0.5*(fL.vals[i] + fR.vals[i]) + 0.5*speed*(xL[i] - xR[i])) * Norm2Real(n);
429*c4762a1bSJed Brown }
430*c4762a1bSJed Brown 
431*c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_SW(Model mod,PetscReal time,const PetscReal *x,PetscScalar *u,void *ctx)
432*c4762a1bSJed Brown {
433*c4762a1bSJed Brown   PetscReal dx[2],r,sigma;
434*c4762a1bSJed Brown 
435*c4762a1bSJed Brown   PetscFunctionBeginUser;
436*c4762a1bSJed Brown   if (time != 0.0) SETERRQ1(mod->comm,PETSC_ERR_SUP,"No solution known for time %g",(double)time);
437*c4762a1bSJed Brown   dx[0] = x[0] - 1.5;
438*c4762a1bSJed Brown   dx[1] = x[1] - 1.0;
439*c4762a1bSJed Brown   r     = Norm2Real(dx);
440*c4762a1bSJed Brown   sigma = 0.5;
441*c4762a1bSJed Brown   u[0]  = 1 + 2*PetscExpReal(-PetscSqr(r)/(2*PetscSqr(sigma)));
442*c4762a1bSJed Brown   u[1]  = 0.0;
443*c4762a1bSJed Brown   u[2]  = 0.0;
444*c4762a1bSJed Brown   PetscFunctionReturn(0);
445*c4762a1bSJed Brown }
446*c4762a1bSJed Brown 
447*c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_SW(Model mod,PetscReal time,const PetscReal *coord,const PetscScalar *xx,PetscReal *f,void *ctx)
448*c4762a1bSJed Brown {
449*c4762a1bSJed Brown   Physics      phys = (Physics)ctx;
450*c4762a1bSJed Brown   Physics_SW   *sw  = (Physics_SW*)phys->data;
451*c4762a1bSJed Brown   const SWNode *x   = (const SWNode*)xx;
452*c4762a1bSJed Brown   PetscReal  u[2];
453*c4762a1bSJed Brown   PetscReal    h;
454*c4762a1bSJed Brown 
455*c4762a1bSJed Brown   PetscFunctionBeginUser;
456*c4762a1bSJed Brown   h = x->h;
457*c4762a1bSJed Brown   Scale2Real(1./x->h,x->uh,u);
458*c4762a1bSJed Brown   f[sw->functional.Height] = h;
459*c4762a1bSJed Brown   f[sw->functional.Speed]  = Norm2Real(u) + PetscSqrtReal(sw->gravity*h);
460*c4762a1bSJed Brown   f[sw->functional.Energy] = 0.5*(Dot2Real(x->uh,u) + sw->gravity*PetscSqr(h));
461*c4762a1bSJed Brown   PetscFunctionReturn(0);
462*c4762a1bSJed Brown }
463*c4762a1bSJed Brown 
464*c4762a1bSJed Brown static PetscErrorCode SetUpBC_SW(PetscDS prob,Physics phys)
465*c4762a1bSJed Brown {
466*c4762a1bSJed Brown   PetscErrorCode ierr;
467*c4762a1bSJed Brown   const PetscInt wallids[] = {100,101,200,300};
468*c4762a1bSJed Brown   PetscFunctionBeginUser;
469*c4762a1bSJed Brown   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", "Face Sets", 0, 0, NULL, (void (*)(void)) PhysicsBoundary_SW_Wall, ALEN(wallids), wallids, phys);CHKERRQ(ierr);
470*c4762a1bSJed Brown   PetscFunctionReturn(0);
471*c4762a1bSJed Brown }
472*c4762a1bSJed Brown 
473*c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_SW(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
474*c4762a1bSJed Brown {
475*c4762a1bSJed Brown   Physics_SW     *sw;
476*c4762a1bSJed Brown   PetscErrorCode ierr;
477*c4762a1bSJed Brown 
478*c4762a1bSJed Brown   PetscFunctionBeginUser;
479*c4762a1bSJed Brown   phys->field_desc = PhysicsFields_SW;
480*c4762a1bSJed Brown   phys->riemann = (PetscRiemannFunc) PhysicsRiemann_SW;
481*c4762a1bSJed Brown   ierr          = PetscNew(&sw);CHKERRQ(ierr);
482*c4762a1bSJed Brown   phys->data    = sw;
483*c4762a1bSJed Brown   mod->setupbc  = SetUpBC_SW;
484*c4762a1bSJed Brown 
485*c4762a1bSJed Brown   ierr          = PetscOptionsHead(PetscOptionsObject,"SW options");CHKERRQ(ierr);
486*c4762a1bSJed Brown   {
487*c4762a1bSJed Brown     sw->gravity = 1.0;
488*c4762a1bSJed Brown     ierr = PetscOptionsReal("-sw_gravity","Gravitational constant","",sw->gravity,&sw->gravity,NULL);CHKERRQ(ierr);
489*c4762a1bSJed Brown   }
490*c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
491*c4762a1bSJed Brown   phys->maxspeed = PetscSqrtReal(2.0*sw->gravity); /* Mach 1 for depth of 2 */
492*c4762a1bSJed Brown 
493*c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_SW,phys);CHKERRQ(ierr);
494*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Height",&sw->functional.Height,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
495*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Speed",&sw->functional.Speed,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
496*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Energy",&sw->functional.Energy,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
497*c4762a1bSJed Brown 
498*c4762a1bSJed Brown   mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
499*c4762a1bSJed Brown 
500*c4762a1bSJed Brown   PetscFunctionReturn(0);
501*c4762a1bSJed Brown }
502*c4762a1bSJed Brown 
503*c4762a1bSJed Brown /******************* Euler Density Shock (EULER_IV_SHOCK,EULER_SS_SHOCK) ********************/
504*c4762a1bSJed Brown /* An initial-value and self-similar solutions of the compressible Euler equations */
505*c4762a1bSJed Brown /* Ravi Samtaney and D. I. Pullin */
506*c4762a1bSJed Brown /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
507*c4762a1bSJed Brown typedef enum {EULER_PAR_GAMMA,EULER_PAR_RHOR,EULER_PAR_AMACH,EULER_PAR_ITANA,EULER_PAR_SIZE} EulerParamIdx;
508*c4762a1bSJed Brown typedef enum {EULER_IV_SHOCK,EULER_SS_SHOCK,EULER_SHOCK_TUBE,EULER_LINEAR_WAVE} EulerType;
509*c4762a1bSJed Brown typedef struct {
510*c4762a1bSJed Brown   PetscReal r;
511*c4762a1bSJed Brown   PetscReal ru[DIM];
512*c4762a1bSJed Brown   PetscReal E;
513*c4762a1bSJed Brown } EulerNode;
514*c4762a1bSJed Brown typedef union {
515*c4762a1bSJed Brown   EulerNode eulernode;
516*c4762a1bSJed Brown   PetscReal vals[DIM+2];
517*c4762a1bSJed Brown } EulerNodeUnion;
518*c4762a1bSJed Brown typedef PetscErrorCode (*EquationOfState)(const PetscReal*, const EulerNode*, PetscReal*);
519*c4762a1bSJed Brown typedef struct {
520*c4762a1bSJed Brown   EulerType       type;
521*c4762a1bSJed Brown   PetscReal       pars[EULER_PAR_SIZE];
522*c4762a1bSJed Brown   EquationOfState sound;
523*c4762a1bSJed Brown   struct {
524*c4762a1bSJed Brown     PetscInt Density;
525*c4762a1bSJed Brown     PetscInt Momentum;
526*c4762a1bSJed Brown     PetscInt Energy;
527*c4762a1bSJed Brown     PetscInt Pressure;
528*c4762a1bSJed Brown     PetscInt Speed;
529*c4762a1bSJed Brown   } monitor;
530*c4762a1bSJed Brown } Physics_Euler;
531*c4762a1bSJed Brown 
532*c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_Euler[] = {{"Density",1},{"Momentum",DIM},{"Energy",1},{NULL,0}};
533*c4762a1bSJed Brown 
534*c4762a1bSJed Brown /* initial condition */
535*c4762a1bSJed Brown int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx);
536*c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_Euler(Model mod, PetscReal time, const PetscReal *x, PetscScalar *u, void *ctx)
537*c4762a1bSJed Brown {
538*c4762a1bSJed Brown   PetscInt i;
539*c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
540*c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
541*c4762a1bSJed Brown   EulerNode       *uu  = (EulerNode*)u;
542*c4762a1bSJed Brown   PetscReal        p0,gamma,c;
543*c4762a1bSJed Brown   PetscFunctionBeginUser;
544*c4762a1bSJed Brown   if (time != 0.0) SETERRQ1(mod->comm,PETSC_ERR_SUP,"No solution known for time %g",(double)time);
545*c4762a1bSJed Brown 
546*c4762a1bSJed Brown   for (i=0; i<DIM; i++) uu->ru[i] = 0.0; /* zero out initial velocity */
547*c4762a1bSJed Brown   /* set E and rho */
548*c4762a1bSJed Brown   gamma = eu->pars[EULER_PAR_GAMMA];
549*c4762a1bSJed Brown 
550*c4762a1bSJed Brown   if (eu->type==EULER_IV_SHOCK || eu->type==EULER_SS_SHOCK) {
551*c4762a1bSJed Brown     /******************* Euler Density Shock ********************/
552*c4762a1bSJed Brown     /* On initial-value and self-similar solutions of the compressible Euler equations */
553*c4762a1bSJed Brown     /* Ravi Samtaney and D. I. Pullin */
554*c4762a1bSJed Brown     /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
555*c4762a1bSJed Brown     /* initial conditions 1: left of shock, 0: left of discontinuity 2: right of discontinuity,  */
556*c4762a1bSJed Brown     p0 = 1.;
557*c4762a1bSJed Brown     if (x[0] < 0.0 + x[1]*eu->pars[EULER_PAR_ITANA]) {
558*c4762a1bSJed Brown       if (x[0] < mod->bounds[0]*0.5) { /* left of shock (1) */
559*c4762a1bSJed Brown         PetscReal amach,rho,press,gas1,p1;
560*c4762a1bSJed Brown         amach = eu->pars[EULER_PAR_AMACH];
561*c4762a1bSJed Brown         rho = 1.;
562*c4762a1bSJed Brown         press = p0;
563*c4762a1bSJed Brown         p1 = press*(1.0+2.0*gamma/(gamma+1.0)*(amach*amach-1.0));
564*c4762a1bSJed Brown         gas1 = (gamma-1.0)/(gamma+1.0);
565*c4762a1bSJed Brown         uu->r = rho*(p1/press+gas1)/(gas1*p1/press+1.0);
566*c4762a1bSJed Brown         uu->ru[0]   = ((uu->r - rho)*PetscSqrtReal(gamma*press/rho)*amach);
567*c4762a1bSJed Brown         uu->E = p1/(gamma-1.0) + .5/uu->r*uu->ru[0]*uu->ru[0];
568*c4762a1bSJed Brown       }
569*c4762a1bSJed Brown       else { /* left of discontinuity (0) */
570*c4762a1bSJed Brown         uu->r = 1.; /* rho = 1 */
571*c4762a1bSJed Brown         uu->E = p0/(gamma-1.0);
572*c4762a1bSJed Brown       }
573*c4762a1bSJed Brown     }
574*c4762a1bSJed Brown     else { /* right of discontinuity (2) */
575*c4762a1bSJed Brown       uu->r = eu->pars[EULER_PAR_RHOR];
576*c4762a1bSJed Brown       uu->E = p0/(gamma-1.0);
577*c4762a1bSJed Brown     }
578*c4762a1bSJed Brown   }
579*c4762a1bSJed Brown   else if (eu->type==EULER_SHOCK_TUBE) {
580*c4762a1bSJed Brown     /* For (x<x0) set (rho,u,p)=(8,0,10) and for (x>x0) set (rho,u,p)=(1,0,1). Choose x0 to the midpoint of the domain in the x-direction. */
581*c4762a1bSJed Brown     if (x[0] < 0.0 ) {
582*c4762a1bSJed Brown       uu->r = 8.;
583*c4762a1bSJed Brown       uu->E = 10./(gamma-1.);
584*c4762a1bSJed Brown     }
585*c4762a1bSJed Brown     else {
586*c4762a1bSJed Brown       uu->r = 1.;
587*c4762a1bSJed Brown       uu->E = 1./(gamma-1.);
588*c4762a1bSJed Brown     }
589*c4762a1bSJed Brown   }
590*c4762a1bSJed Brown   else if (eu->type==EULER_LINEAR_WAVE) {
591*c4762a1bSJed Brown     initLinearWave( uu, gamma, x, mod->bounds[1] - mod->bounds[0]);
592*c4762a1bSJed Brown   }
593*c4762a1bSJed Brown   else SETERRQ1(mod->comm,PETSC_ERR_SUP,"Unknown type %d",eu->type);
594*c4762a1bSJed Brown 
595*c4762a1bSJed Brown   /* set phys->maxspeed: (mod->maxspeed = phys->maxspeed) in main; */
596*c4762a1bSJed Brown   eu->sound(&gamma,uu,&c);
597*c4762a1bSJed Brown   c = (uu->ru[0]/uu->r) + c;
598*c4762a1bSJed Brown   if (c > phys->maxspeed) phys->maxspeed = c;
599*c4762a1bSJed Brown 
600*c4762a1bSJed Brown   PetscFunctionReturn(0);
601*c4762a1bSJed Brown }
602*c4762a1bSJed Brown 
603*c4762a1bSJed Brown static PetscErrorCode Pressure_PG(const PetscReal gamma,const EulerNode *x,PetscReal *p)
604*c4762a1bSJed Brown {
605*c4762a1bSJed Brown   PetscReal ru2;
606*c4762a1bSJed Brown 
607*c4762a1bSJed Brown   PetscFunctionBeginUser;
608*c4762a1bSJed Brown   ru2  = DotDIMReal(x->ru,x->ru);
609*c4762a1bSJed Brown   (*p)=(x->E - 0.5*ru2/x->r)*(gamma - 1.0); /* (E - rho V^2/2)(gamma-1) = e rho (gamma-1) */
610*c4762a1bSJed Brown   PetscFunctionReturn(0);
611*c4762a1bSJed Brown }
612*c4762a1bSJed Brown 
613*c4762a1bSJed Brown static PetscErrorCode SpeedOfSound_PG(const PetscReal *gamma, const EulerNode *x, PetscReal *c)
614*c4762a1bSJed Brown {
615*c4762a1bSJed Brown   PetscReal p;
616*c4762a1bSJed Brown 
617*c4762a1bSJed Brown   PetscFunctionBeginUser;
618*c4762a1bSJed Brown   Pressure_PG(*gamma,x,&p);
619*c4762a1bSJed Brown   if (p<0.) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"negative pressure time %g -- NEED TO FIX!!!!!!",(double) p);
620*c4762a1bSJed Brown   /* pars[EULER_PAR_GAMMA] = heat capacity ratio */
621*c4762a1bSJed Brown   (*c)=PetscSqrtReal(*gamma * p / x->r);
622*c4762a1bSJed Brown   PetscFunctionReturn(0);
623*c4762a1bSJed Brown }
624*c4762a1bSJed Brown 
625*c4762a1bSJed Brown /*
626*c4762a1bSJed Brown  * x = (rho,rho*(u_1),...,rho*e)^T
627*c4762a1bSJed Brown  * x_t+div(f_1(x))+...+div(f_DIM(x)) = 0
628*c4762a1bSJed Brown  *
629*c4762a1bSJed Brown  * f_i(x) = u_i*x+(0,0,...,p,...,p*u_i)^T
630*c4762a1bSJed Brown  *
631*c4762a1bSJed Brown  */
632*c4762a1bSJed Brown static PetscErrorCode EulerFlux(Physics phys,const PetscReal *n,const EulerNode *x,EulerNode *f)
633*c4762a1bSJed Brown {
634*c4762a1bSJed Brown   Physics_Euler *eu = (Physics_Euler*)phys->data;
635*c4762a1bSJed Brown   PetscReal     nu,p;
636*c4762a1bSJed Brown   PetscInt      i;
637*c4762a1bSJed Brown 
638*c4762a1bSJed Brown   PetscFunctionBeginUser;
639*c4762a1bSJed Brown   Pressure_PG(eu->pars[EULER_PAR_GAMMA],x,&p);
640*c4762a1bSJed Brown   nu = DotDIMReal(x->ru,n);
641*c4762a1bSJed Brown   f->r = nu;   /* A rho u */
642*c4762a1bSJed Brown   nu /= x->r;  /* A u */
643*c4762a1bSJed Brown   for (i=0; i<DIM; i++) f->ru[i] = nu * x->ru[i] + n[i]*p;  /* r u^2 + p */
644*c4762a1bSJed Brown   f->E = nu * (x->E + p); /* u(e+p) */
645*c4762a1bSJed Brown   PetscFunctionReturn(0);
646*c4762a1bSJed Brown }
647*c4762a1bSJed Brown 
648*c4762a1bSJed Brown /* PetscReal* => EulerNode* conversion */
649*c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Euler_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *a_xI, PetscScalar *a_xG, void *ctx)
650*c4762a1bSJed Brown {
651*c4762a1bSJed Brown   PetscInt    i;
652*c4762a1bSJed Brown   const EulerNode *xI = (const EulerNode*)a_xI;
653*c4762a1bSJed Brown   EulerNode       *xG = (EulerNode*)a_xG;
654*c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
655*c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
656*c4762a1bSJed Brown   PetscFunctionBeginUser;
657*c4762a1bSJed Brown   xG->r = xI->r;           /* ghost cell density - same */
658*c4762a1bSJed Brown   xG->E = xI->E;           /* ghost cell energy - same */
659*c4762a1bSJed Brown   if (n[1] != 0.) {        /* top and bottom */
660*c4762a1bSJed Brown     xG->ru[0] =  xI->ru[0]; /* copy tang to wall */
661*c4762a1bSJed Brown     xG->ru[1] = -xI->ru[1]; /* reflect perp to t/b wall */
662*c4762a1bSJed Brown   }
663*c4762a1bSJed Brown   else { /* sides */
664*c4762a1bSJed Brown     for (i=0; i<DIM; i++) xG->ru[i] = xI->ru[i]; /* copy */
665*c4762a1bSJed Brown   }
666*c4762a1bSJed Brown   if (eu->type == EULER_LINEAR_WAVE) { /* debug */
667*c4762a1bSJed Brown #if 0
668*c4762a1bSJed Brown     PetscPrintf(PETSC_COMM_WORLD,"%s coord=%g,%g\n",PETSC_FUNCTION_NAME,c[0],c[1]);
669*c4762a1bSJed Brown #endif
670*c4762a1bSJed Brown   }
671*c4762a1bSJed Brown   PetscFunctionReturn(0);
672*c4762a1bSJed Brown }
673*c4762a1bSJed Brown int godunovflux( const PetscScalar *ul, const PetscScalar *ur, PetscScalar *flux, const PetscReal *nn, const int *ndim, const PetscReal *gamma);
674*c4762a1bSJed Brown /* PetscReal* => EulerNode* conversion */
675*c4762a1bSJed Brown static void PhysicsRiemann_Euler_Godunov( PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n,
676*c4762a1bSJed Brown                                           const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
677*c4762a1bSJed Brown {
678*c4762a1bSJed Brown   Physics_Euler   *eu = (Physics_Euler*)phys->data;
679*c4762a1bSJed Brown   PetscReal       cL,cR,speed,velL,velR,nn[DIM],s2;
680*c4762a1bSJed Brown   PetscInt        i;
681*c4762a1bSJed Brown   PetscErrorCode  ierr;
682*c4762a1bSJed Brown   PetscFunctionBeginUser;
683*c4762a1bSJed Brown 
684*c4762a1bSJed Brown   for (i=0,s2=0.; i<DIM; i++) {
685*c4762a1bSJed Brown     nn[i] = n[i];
686*c4762a1bSJed Brown     s2 += nn[i]*nn[i];
687*c4762a1bSJed Brown   }
688*c4762a1bSJed Brown   s2 = PetscSqrtReal(s2); /* |n|_2 = sum(n^2)^1/2 */
689*c4762a1bSJed Brown   for (i=0.; i<DIM; i++) nn[i] /= s2;
690*c4762a1bSJed Brown   if (0) { /* Rusanov */
691*c4762a1bSJed Brown     const EulerNode *uL = (const EulerNode*)xL,*uR = (const EulerNode*)xR;
692*c4762a1bSJed Brown     EulerNodeUnion  fL,fR;
693*c4762a1bSJed Brown     EulerFlux(phys,nn,uL,&(fL.eulernode));
694*c4762a1bSJed Brown     EulerFlux(phys,nn,uR,&(fR.eulernode));
695*c4762a1bSJed Brown     ierr = eu->sound(&eu->pars[EULER_PAR_GAMMA],uL,&cL);if (ierr) exit(13);
696*c4762a1bSJed Brown     ierr = eu->sound(&eu->pars[EULER_PAR_GAMMA],uR,&cR);if (ierr) exit(14);
697*c4762a1bSJed Brown     velL = DotDIMReal(uL->ru,nn)/uL->r;
698*c4762a1bSJed Brown     velR = DotDIMReal(uR->ru,nn)/uR->r;
699*c4762a1bSJed Brown     speed = PetscMax(velR + cR, velL + cL);
700*c4762a1bSJed Brown     for (i=0; i<2+dim; i++) flux[i] = 0.5*((fL.vals[i]+fR.vals[i]) + speed*(xL[i] - xR[i]))*s2;
701*c4762a1bSJed Brown   }
702*c4762a1bSJed Brown   else {
703*c4762a1bSJed Brown     int dim = DIM;
704*c4762a1bSJed Brown     /* int iwave =  */
705*c4762a1bSJed Brown     godunovflux(xL, xR, flux, nn, &dim, &eu->pars[EULER_PAR_GAMMA]);
706*c4762a1bSJed Brown     for (i=0; i<2+dim; i++) flux[i] *= s2;
707*c4762a1bSJed Brown   }
708*c4762a1bSJed Brown   PetscFunctionReturnVoid();
709*c4762a1bSJed Brown }
710*c4762a1bSJed Brown 
711*c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_Euler(Model mod,PetscReal time,const PetscReal *coord,const PetscScalar *xx,PetscReal *f,void *ctx)
712*c4762a1bSJed Brown {
713*c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
714*c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
715*c4762a1bSJed Brown   const EulerNode *x   = (const EulerNode*)xx;
716*c4762a1bSJed Brown   PetscReal       p;
717*c4762a1bSJed Brown 
718*c4762a1bSJed Brown   PetscFunctionBeginUser;
719*c4762a1bSJed Brown   f[eu->monitor.Density]  = x->r;
720*c4762a1bSJed Brown   f[eu->monitor.Momentum] = NormDIM(x->ru);
721*c4762a1bSJed Brown   f[eu->monitor.Energy]   = x->E;
722*c4762a1bSJed Brown   f[eu->monitor.Speed]    = NormDIM(x->ru)/x->r;
723*c4762a1bSJed Brown   Pressure_PG(eu->pars[EULER_PAR_GAMMA], x, &p);
724*c4762a1bSJed Brown   f[eu->monitor.Pressure] = p;
725*c4762a1bSJed Brown   PetscFunctionReturn(0);
726*c4762a1bSJed Brown }
727*c4762a1bSJed Brown 
728*c4762a1bSJed Brown static PetscErrorCode SetUpBC_Euler(PetscDS prob,Physics phys)
729*c4762a1bSJed Brown {
730*c4762a1bSJed Brown   PetscErrorCode  ierr;
731*c4762a1bSJed Brown   Physics_Euler   *eu = (Physics_Euler *) phys->data;
732*c4762a1bSJed Brown   if (eu->type == EULER_LINEAR_WAVE) {
733*c4762a1bSJed Brown     const PetscInt wallids[] = {100,101};
734*c4762a1bSJed Brown     ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", "Face Sets", 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Euler_Wall, ALEN(wallids), wallids, phys);CHKERRQ(ierr);
735*c4762a1bSJed Brown   }
736*c4762a1bSJed Brown   else {
737*c4762a1bSJed Brown     const PetscInt wallids[] = {100,101,200,300};
738*c4762a1bSJed Brown     ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", "Face Sets", 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Euler_Wall, ALEN(wallids), wallids, phys);CHKERRQ(ierr);
739*c4762a1bSJed Brown   }
740*c4762a1bSJed Brown   PetscFunctionReturn(0);
741*c4762a1bSJed Brown }
742*c4762a1bSJed Brown 
743*c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_Euler(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
744*c4762a1bSJed Brown {
745*c4762a1bSJed Brown   Physics_Euler   *eu;
746*c4762a1bSJed Brown   PetscErrorCode  ierr;
747*c4762a1bSJed Brown 
748*c4762a1bSJed Brown   PetscFunctionBeginUser;
749*c4762a1bSJed Brown   phys->field_desc = PhysicsFields_Euler;
750*c4762a1bSJed Brown   phys->riemann = (PetscRiemannFunc) PhysicsRiemann_Euler_Godunov;
751*c4762a1bSJed Brown   ierr = PetscNew(&eu);CHKERRQ(ierr);
752*c4762a1bSJed Brown   phys->data    = eu;
753*c4762a1bSJed Brown   mod->setupbc = SetUpBC_Euler;
754*c4762a1bSJed Brown   ierr = PetscOptionsHead(PetscOptionsObject,"Euler options");CHKERRQ(ierr);
755*c4762a1bSJed Brown   {
756*c4762a1bSJed Brown     PetscReal alpha;
757*c4762a1bSJed Brown     char type[64] = "linear_wave";
758*c4762a1bSJed Brown     PetscBool  is;
759*c4762a1bSJed Brown     mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
760*c4762a1bSJed Brown     eu->pars[EULER_PAR_GAMMA] = 1.4;
761*c4762a1bSJed Brown     eu->pars[EULER_PAR_AMACH] = 2.02;
762*c4762a1bSJed Brown     eu->pars[EULER_PAR_RHOR] = 3.0;
763*c4762a1bSJed Brown     eu->pars[EULER_PAR_ITANA] = 0.57735026918963; /* angle of Euler self similar (SS) shock */
764*c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_gamma","Heat capacity ratio","",eu->pars[EULER_PAR_GAMMA],&eu->pars[EULER_PAR_GAMMA],NULL);CHKERRQ(ierr);
765*c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_amach","Shock speed (Mach)","",eu->pars[EULER_PAR_AMACH],&eu->pars[EULER_PAR_AMACH],NULL);CHKERRQ(ierr);
766*c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_rho2","Density right of discontinuity","",eu->pars[EULER_PAR_RHOR],&eu->pars[EULER_PAR_RHOR],NULL);CHKERRQ(ierr);
767*c4762a1bSJed Brown     alpha = 60.;
768*c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_alpha","Angle of discontinuity","",alpha,&alpha,NULL);CHKERRQ(ierr);
769*c4762a1bSJed Brown     if (alpha<=0. || alpha>90.) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Alpha bust be > 0 and <= 90 (%g)",alpha);
770*c4762a1bSJed Brown     eu->pars[EULER_PAR_ITANA] = 1./PetscTanReal( alpha * PETSC_PI / 180.0 );
771*c4762a1bSJed Brown     ierr = PetscOptionsString("-eu_type","Type of Euler test","",type,type,sizeof(type),NULL);CHKERRQ(ierr);
772*c4762a1bSJed Brown     ierr = PetscStrcmp(type,"linear_wave", &is);CHKERRQ(ierr);
773*c4762a1bSJed Brown     if (is) {
774*c4762a1bSJed Brown       eu->type = EULER_LINEAR_WAVE;
775*c4762a1bSJed Brown       mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_PERIODIC;
776*c4762a1bSJed Brown       mod->bcs[1] = DM_BOUNDARY_GHOSTED; /* debug */
777*c4762a1bSJed Brown       ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"linear_wave");CHKERRQ(ierr);
778*c4762a1bSJed Brown     }
779*c4762a1bSJed Brown     else {
780*c4762a1bSJed Brown       if (DIM != 2) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"DIM must be 2 unless linear wave test %s",type);
781*c4762a1bSJed Brown       ierr = PetscStrcmp(type,"iv_shock", &is);CHKERRQ(ierr);
782*c4762a1bSJed Brown       if (is) {
783*c4762a1bSJed Brown         eu->type = EULER_IV_SHOCK;
784*c4762a1bSJed Brown         ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"iv_shock");CHKERRQ(ierr);
785*c4762a1bSJed Brown       }
786*c4762a1bSJed Brown       else {
787*c4762a1bSJed Brown         ierr = PetscStrcmp(type,"ss_shock", &is);CHKERRQ(ierr);
788*c4762a1bSJed Brown         if (is) {
789*c4762a1bSJed Brown           eu->type = EULER_SS_SHOCK;
790*c4762a1bSJed Brown           ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"ss_shock");CHKERRQ(ierr);
791*c4762a1bSJed Brown         }
792*c4762a1bSJed Brown         else {
793*c4762a1bSJed Brown           ierr = PetscStrcmp(type,"shock_tube", &is);CHKERRQ(ierr);
794*c4762a1bSJed Brown           if (is) eu->type = EULER_SHOCK_TUBE;
795*c4762a1bSJed Brown           else SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Unknown Euler type %s",type);
796*c4762a1bSJed Brown           ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"shock_tube");CHKERRQ(ierr);
797*c4762a1bSJed Brown         }
798*c4762a1bSJed Brown       }
799*c4762a1bSJed Brown     }
800*c4762a1bSJed Brown   }
801*c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
802*c4762a1bSJed Brown   eu->sound = SpeedOfSound_PG;
803*c4762a1bSJed Brown   phys->maxspeed = 0.; /* will get set in solution */
804*c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_Euler,phys);CHKERRQ(ierr);
805*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Speed",&eu->monitor.Speed,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
806*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Energy",&eu->monitor.Energy,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
807*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Density",&eu->monitor.Density,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
808*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Momentum",&eu->monitor.Momentum,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
809*c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Pressure",&eu->monitor.Pressure,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
810*c4762a1bSJed Brown 
811*c4762a1bSJed Brown   PetscFunctionReturn(0);
812*c4762a1bSJed Brown }
813*c4762a1bSJed Brown 
814*c4762a1bSJed Brown static PetscErrorCode ErrorIndicator_Simple(PetscInt dim, PetscReal volume, PetscInt numComps, const PetscScalar u[], const PetscScalar grad[], PetscReal *error, void *ctx)
815*c4762a1bSJed Brown {
816*c4762a1bSJed Brown   PetscReal      err = 0.;
817*c4762a1bSJed Brown   PetscInt       i, j;
818*c4762a1bSJed Brown 
819*c4762a1bSJed Brown   PetscFunctionBeginUser;
820*c4762a1bSJed Brown   for (i = 0; i < numComps; i++) {
821*c4762a1bSJed Brown     for (j = 0; j < dim; j++) {
822*c4762a1bSJed Brown       err += PetscSqr(PetscRealPart(grad[i * dim + j]));
823*c4762a1bSJed Brown     }
824*c4762a1bSJed Brown   }
825*c4762a1bSJed Brown   *error = volume * err;
826*c4762a1bSJed Brown   PetscFunctionReturn(0);
827*c4762a1bSJed Brown }
828*c4762a1bSJed Brown 
829*c4762a1bSJed Brown PetscErrorCode ConstructCellBoundary(DM dm, User user)
830*c4762a1bSJed Brown {
831*c4762a1bSJed Brown   const char     *name   = "Cell Sets";
832*c4762a1bSJed Brown   const char     *bdname = "split faces";
833*c4762a1bSJed Brown   IS             regionIS, innerIS;
834*c4762a1bSJed Brown   const PetscInt *regions, *cells;
835*c4762a1bSJed Brown   PetscInt       numRegions, innerRegion, numCells, c;
836*c4762a1bSJed Brown   PetscInt       cStart, cEnd, cEndInterior, fStart, fEnd;
837*c4762a1bSJed Brown   PetscBool      hasLabel;
838*c4762a1bSJed Brown   PetscErrorCode ierr;
839*c4762a1bSJed Brown 
840*c4762a1bSJed Brown   PetscFunctionBeginUser;
841*c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
842*c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
843*c4762a1bSJed Brown   ierr = DMPlexGetGhostCellStratum(dm, &cEndInterior, NULL);CHKERRQ(ierr);
844*c4762a1bSJed Brown 
845*c4762a1bSJed Brown   ierr = DMHasLabel(dm, name, &hasLabel);CHKERRQ(ierr);
846*c4762a1bSJed Brown   if (!hasLabel) PetscFunctionReturn(0);
847*c4762a1bSJed Brown   ierr = DMGetLabelSize(dm, name, &numRegions);CHKERRQ(ierr);
848*c4762a1bSJed Brown   if (numRegions != 2) PetscFunctionReturn(0);
849*c4762a1bSJed Brown   /* Get the inner id */
850*c4762a1bSJed Brown   ierr = DMGetLabelIdIS(dm, name, &regionIS);CHKERRQ(ierr);
851*c4762a1bSJed Brown   ierr = ISGetIndices(regionIS, &regions);CHKERRQ(ierr);
852*c4762a1bSJed Brown   innerRegion = regions[0];
853*c4762a1bSJed Brown   ierr = ISRestoreIndices(regionIS, &regions);CHKERRQ(ierr);
854*c4762a1bSJed Brown   ierr = ISDestroy(&regionIS);CHKERRQ(ierr);
855*c4762a1bSJed Brown   /* Find the faces between cells in different regions, could call DMPlexCreateNeighborCSR() */
856*c4762a1bSJed Brown   ierr = DMGetStratumIS(dm, name, innerRegion, &innerIS);CHKERRQ(ierr);
857*c4762a1bSJed Brown   ierr = ISGetLocalSize(innerIS, &numCells);CHKERRQ(ierr);
858*c4762a1bSJed Brown   ierr = ISGetIndices(innerIS, &cells);CHKERRQ(ierr);
859*c4762a1bSJed Brown   ierr = DMCreateLabel(dm, bdname);CHKERRQ(ierr);
860*c4762a1bSJed Brown   for (c = 0; c < numCells; ++c) {
861*c4762a1bSJed Brown     const PetscInt cell = cells[c];
862*c4762a1bSJed Brown     const PetscInt *faces;
863*c4762a1bSJed Brown     PetscInt       numFaces, f;
864*c4762a1bSJed Brown 
865*c4762a1bSJed Brown     if ((cell < cStart) || (cell >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", cell);
866*c4762a1bSJed Brown     ierr = DMPlexGetConeSize(dm, cell, &numFaces);CHKERRQ(ierr);
867*c4762a1bSJed Brown     ierr = DMPlexGetCone(dm, cell, &faces);CHKERRQ(ierr);
868*c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f) {
869*c4762a1bSJed Brown       const PetscInt face = faces[f];
870*c4762a1bSJed Brown       const PetscInt *neighbors;
871*c4762a1bSJed Brown       PetscInt       nC, regionA, regionB;
872*c4762a1bSJed Brown 
873*c4762a1bSJed Brown       if ((face < fStart) || (face >= fEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a face", face);
874*c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, face, &nC);CHKERRQ(ierr);
875*c4762a1bSJed Brown       if (nC != 2) continue;
876*c4762a1bSJed Brown       ierr = DMPlexGetSupport(dm, face, &neighbors);CHKERRQ(ierr);
877*c4762a1bSJed Brown       if ((neighbors[0] >= cEndInterior) || (neighbors[1] >= cEndInterior)) continue;
878*c4762a1bSJed Brown       if ((neighbors[0] < cStart) || (neighbors[0] >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", neighbors[0]);
879*c4762a1bSJed Brown       if ((neighbors[1] < cStart) || (neighbors[1] >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", neighbors[1]);
880*c4762a1bSJed Brown       ierr = DMGetLabelValue(dm, name, neighbors[0], &regionA);CHKERRQ(ierr);
881*c4762a1bSJed Brown       ierr = DMGetLabelValue(dm, name, neighbors[1], &regionB);CHKERRQ(ierr);
882*c4762a1bSJed Brown       if (regionA < 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid label %s: Cell %d has no value", name, neighbors[0]);
883*c4762a1bSJed Brown       if (regionB < 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid label %s: Cell %d has no value", name, neighbors[1]);
884*c4762a1bSJed Brown       if (regionA != regionB) {
885*c4762a1bSJed Brown         ierr = DMSetLabelValue(dm, bdname, faces[f], 1);CHKERRQ(ierr);
886*c4762a1bSJed Brown       }
887*c4762a1bSJed Brown     }
888*c4762a1bSJed Brown   }
889*c4762a1bSJed Brown   ierr = ISRestoreIndices(innerIS, &cells);CHKERRQ(ierr);
890*c4762a1bSJed Brown   ierr = ISDestroy(&innerIS);CHKERRQ(ierr);
891*c4762a1bSJed Brown   {
892*c4762a1bSJed Brown     DMLabel label;
893*c4762a1bSJed Brown 
894*c4762a1bSJed Brown     ierr = DMGetLabel(dm, bdname, &label);CHKERRQ(ierr);
895*c4762a1bSJed Brown     ierr = DMLabelView(label, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
896*c4762a1bSJed Brown   }
897*c4762a1bSJed Brown   PetscFunctionReturn(0);
898*c4762a1bSJed Brown }
899*c4762a1bSJed Brown 
900*c4762a1bSJed Brown /* Right now, I have just added duplicate faces, which see both cells. We can
901*c4762a1bSJed Brown - Add duplicate vertices and decouple the face cones
902*c4762a1bSJed Brown - Disconnect faces from cells across the rotation gap
903*c4762a1bSJed Brown */
904*c4762a1bSJed Brown PetscErrorCode SplitFaces(DM *dmSplit, const char labelName[], User user)
905*c4762a1bSJed Brown {
906*c4762a1bSJed Brown   DM             dm = *dmSplit, sdm;
907*c4762a1bSJed Brown   PetscSF        sfPoint, gsfPoint;
908*c4762a1bSJed Brown   PetscSection   coordSection, newCoordSection;
909*c4762a1bSJed Brown   Vec            coordinates;
910*c4762a1bSJed Brown   IS             idIS;
911*c4762a1bSJed Brown   const PetscInt *ids;
912*c4762a1bSJed Brown   PetscInt       *newpoints;
913*c4762a1bSJed Brown   PetscInt       dim, depth, maxConeSize, maxSupportSize, numLabels, numGhostCells;
914*c4762a1bSJed Brown   PetscInt       numFS, fs, pStart, pEnd, p, cEnd, cEndInterior, vStart, vEnd, v, fStart, fEnd, newf, d, l;
915*c4762a1bSJed Brown   PetscBool      hasLabel;
916*c4762a1bSJed Brown   PetscErrorCode ierr;
917*c4762a1bSJed Brown 
918*c4762a1bSJed Brown   PetscFunctionBeginUser;
919*c4762a1bSJed Brown   ierr = DMHasLabel(dm, labelName, &hasLabel);CHKERRQ(ierr);
920*c4762a1bSJed Brown   if (!hasLabel) PetscFunctionReturn(0);
921*c4762a1bSJed Brown   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &sdm);CHKERRQ(ierr);
922*c4762a1bSJed Brown   ierr = DMSetType(sdm, DMPLEX);CHKERRQ(ierr);
923*c4762a1bSJed Brown   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
924*c4762a1bSJed Brown   ierr = DMSetDimension(sdm, dim);CHKERRQ(ierr);
925*c4762a1bSJed Brown 
926*c4762a1bSJed Brown   ierr = DMGetLabelIdIS(dm, labelName, &idIS);CHKERRQ(ierr);
927*c4762a1bSJed Brown   ierr = ISGetLocalSize(idIS, &numFS);CHKERRQ(ierr);
928*c4762a1bSJed Brown   ierr = ISGetIndices(idIS, &ids);CHKERRQ(ierr);
929*c4762a1bSJed Brown 
930*c4762a1bSJed Brown   user->numSplitFaces = 0;
931*c4762a1bSJed Brown   for (fs = 0; fs < numFS; ++fs) {
932*c4762a1bSJed Brown     PetscInt numBdFaces;
933*c4762a1bSJed Brown 
934*c4762a1bSJed Brown     ierr = DMGetStratumSize(dm, labelName, ids[fs], &numBdFaces);CHKERRQ(ierr);
935*c4762a1bSJed Brown     user->numSplitFaces += numBdFaces;
936*c4762a1bSJed Brown   }
937*c4762a1bSJed Brown   ierr  = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
938*c4762a1bSJed Brown   pEnd += user->numSplitFaces;
939*c4762a1bSJed Brown   ierr  = DMPlexSetChart(sdm, pStart, pEnd);CHKERRQ(ierr);
940*c4762a1bSJed Brown   ierr  = DMPlexGetGhostCellStratum(dm, &cEndInterior, NULL);CHKERRQ(ierr);
941*c4762a1bSJed Brown   ierr  = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
942*c4762a1bSJed Brown   numGhostCells = cEnd - cEndInterior;
943*c4762a1bSJed Brown   /* Set cone and support sizes */
944*c4762a1bSJed Brown   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
945*c4762a1bSJed Brown   for (d = 0; d <= depth; ++d) {
946*c4762a1bSJed Brown     ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
947*c4762a1bSJed Brown     for (p = pStart; p < pEnd; ++p) {
948*c4762a1bSJed Brown       PetscInt newp = p;
949*c4762a1bSJed Brown       PetscInt size;
950*c4762a1bSJed Brown 
951*c4762a1bSJed Brown       ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
952*c4762a1bSJed Brown       ierr = DMPlexSetConeSize(sdm, newp, size);CHKERRQ(ierr);
953*c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
954*c4762a1bSJed Brown       ierr = DMPlexSetSupportSize(sdm, newp, size);CHKERRQ(ierr);
955*c4762a1bSJed Brown     }
956*c4762a1bSJed Brown   }
957*c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
958*c4762a1bSJed Brown   for (fs = 0, newf = fEnd; fs < numFS; ++fs) {
959*c4762a1bSJed Brown     IS             faceIS;
960*c4762a1bSJed Brown     const PetscInt *faces;
961*c4762a1bSJed Brown     PetscInt       numFaces, f;
962*c4762a1bSJed Brown 
963*c4762a1bSJed Brown     ierr = DMGetStratumIS(dm, labelName, ids[fs], &faceIS);CHKERRQ(ierr);
964*c4762a1bSJed Brown     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
965*c4762a1bSJed Brown     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
966*c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f, ++newf) {
967*c4762a1bSJed Brown       PetscInt size;
968*c4762a1bSJed Brown 
969*c4762a1bSJed Brown       /* Right now I think that both faces should see both cells */
970*c4762a1bSJed Brown       ierr = DMPlexGetConeSize(dm, faces[f], &size);CHKERRQ(ierr);
971*c4762a1bSJed Brown       ierr = DMPlexSetConeSize(sdm, newf, size);CHKERRQ(ierr);
972*c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, faces[f], &size);CHKERRQ(ierr);
973*c4762a1bSJed Brown       ierr = DMPlexSetSupportSize(sdm, newf, size);CHKERRQ(ierr);
974*c4762a1bSJed Brown     }
975*c4762a1bSJed Brown     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
976*c4762a1bSJed Brown     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
977*c4762a1bSJed Brown   }
978*c4762a1bSJed Brown   ierr = DMSetUp(sdm);CHKERRQ(ierr);
979*c4762a1bSJed Brown   /* Set cones and supports */
980*c4762a1bSJed Brown   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
981*c4762a1bSJed Brown   ierr = PetscMalloc1(PetscMax(maxConeSize, maxSupportSize), &newpoints);CHKERRQ(ierr);
982*c4762a1bSJed Brown   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
983*c4762a1bSJed Brown   for (p = pStart; p < pEnd; ++p) {
984*c4762a1bSJed Brown     const PetscInt *points, *orientations;
985*c4762a1bSJed Brown     PetscInt       size, i, newp = p;
986*c4762a1bSJed Brown 
987*c4762a1bSJed Brown     ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
988*c4762a1bSJed Brown     ierr = DMPlexGetCone(dm, p, &points);CHKERRQ(ierr);
989*c4762a1bSJed Brown     ierr = DMPlexGetConeOrientation(dm, p, &orientations);CHKERRQ(ierr);
990*c4762a1bSJed Brown     for (i = 0; i < size; ++i) newpoints[i] = points[i];
991*c4762a1bSJed Brown     ierr = DMPlexSetCone(sdm, newp, newpoints);CHKERRQ(ierr);
992*c4762a1bSJed Brown     ierr = DMPlexSetConeOrientation(sdm, newp, orientations);CHKERRQ(ierr);
993*c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
994*c4762a1bSJed Brown     ierr = DMPlexGetSupport(dm, p, &points);CHKERRQ(ierr);
995*c4762a1bSJed Brown     for (i = 0; i < size; ++i) newpoints[i] = points[i];
996*c4762a1bSJed Brown     ierr = DMPlexSetSupport(sdm, newp, newpoints);CHKERRQ(ierr);
997*c4762a1bSJed Brown   }
998*c4762a1bSJed Brown   ierr = PetscFree(newpoints);CHKERRQ(ierr);
999*c4762a1bSJed Brown   for (fs = 0, newf = fEnd; fs < numFS; ++fs) {
1000*c4762a1bSJed Brown     IS             faceIS;
1001*c4762a1bSJed Brown     const PetscInt *faces;
1002*c4762a1bSJed Brown     PetscInt       numFaces, f;
1003*c4762a1bSJed Brown 
1004*c4762a1bSJed Brown     ierr = DMGetStratumIS(dm, labelName, ids[fs], &faceIS);CHKERRQ(ierr);
1005*c4762a1bSJed Brown     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
1006*c4762a1bSJed Brown     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
1007*c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f, ++newf) {
1008*c4762a1bSJed Brown       const PetscInt *points;
1009*c4762a1bSJed Brown 
1010*c4762a1bSJed Brown       ierr = DMPlexGetCone(dm, faces[f], &points);CHKERRQ(ierr);
1011*c4762a1bSJed Brown       ierr = DMPlexSetCone(sdm, newf, points);CHKERRQ(ierr);
1012*c4762a1bSJed Brown       ierr = DMPlexGetSupport(dm, faces[f], &points);CHKERRQ(ierr);
1013*c4762a1bSJed Brown       ierr = DMPlexSetSupport(sdm, newf, points);CHKERRQ(ierr);
1014*c4762a1bSJed Brown     }
1015*c4762a1bSJed Brown     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
1016*c4762a1bSJed Brown     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
1017*c4762a1bSJed Brown   }
1018*c4762a1bSJed Brown   ierr = ISRestoreIndices(idIS, &ids);CHKERRQ(ierr);
1019*c4762a1bSJed Brown   ierr = ISDestroy(&idIS);CHKERRQ(ierr);
1020*c4762a1bSJed Brown   ierr = DMPlexStratify(sdm);CHKERRQ(ierr);
1021*c4762a1bSJed Brown   ierr = DMPlexSetGhostCellStratum(sdm, cEndInterior, PETSC_DETERMINE);CHKERRQ(ierr);
1022*c4762a1bSJed Brown   /* Convert coordinates */
1023*c4762a1bSJed Brown   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1024*c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1025*c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &newCoordSection);CHKERRQ(ierr);
1026*c4762a1bSJed Brown   ierr = PetscSectionSetNumFields(newCoordSection, 1);CHKERRQ(ierr);
1027*c4762a1bSJed Brown   ierr = PetscSectionSetFieldComponents(newCoordSection, 0, dim);CHKERRQ(ierr);
1028*c4762a1bSJed Brown   ierr = PetscSectionSetChart(newCoordSection, vStart, vEnd);CHKERRQ(ierr);
1029*c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1030*c4762a1bSJed Brown     ierr = PetscSectionSetDof(newCoordSection, v, dim);CHKERRQ(ierr);
1031*c4762a1bSJed Brown     ierr = PetscSectionSetFieldDof(newCoordSection, v, 0, dim);CHKERRQ(ierr);
1032*c4762a1bSJed Brown   }
1033*c4762a1bSJed Brown   ierr = PetscSectionSetUp(newCoordSection);CHKERRQ(ierr);
1034*c4762a1bSJed Brown   ierr = DMSetCoordinateSection(sdm, PETSC_DETERMINE, newCoordSection);CHKERRQ(ierr);
1035*c4762a1bSJed Brown   ierr = PetscSectionDestroy(&newCoordSection);CHKERRQ(ierr); /* relinquish our reference */
1036*c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1037*c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(sdm, coordinates);CHKERRQ(ierr);
1038*c4762a1bSJed Brown   /* Convert labels */
1039*c4762a1bSJed Brown   ierr = DMGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
1040*c4762a1bSJed Brown   for (l = 0; l < numLabels; ++l) {
1041*c4762a1bSJed Brown     const char *lname;
1042*c4762a1bSJed Brown     PetscBool  isDepth, isDim;
1043*c4762a1bSJed Brown 
1044*c4762a1bSJed Brown     ierr = DMGetLabelName(dm, l, &lname);CHKERRQ(ierr);
1045*c4762a1bSJed Brown     ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
1046*c4762a1bSJed Brown     if (isDepth) continue;
1047*c4762a1bSJed Brown     ierr = PetscStrcmp(lname, "dim", &isDim);CHKERRQ(ierr);
1048*c4762a1bSJed Brown     if (isDim) continue;
1049*c4762a1bSJed Brown     ierr = DMCreateLabel(sdm, lname);CHKERRQ(ierr);
1050*c4762a1bSJed Brown     ierr = DMGetLabelIdIS(dm, lname, &idIS);CHKERRQ(ierr);
1051*c4762a1bSJed Brown     ierr = ISGetLocalSize(idIS, &numFS);CHKERRQ(ierr);
1052*c4762a1bSJed Brown     ierr = ISGetIndices(idIS, &ids);CHKERRQ(ierr);
1053*c4762a1bSJed Brown     for (fs = 0; fs < numFS; ++fs) {
1054*c4762a1bSJed Brown       IS             pointIS;
1055*c4762a1bSJed Brown       const PetscInt *points;
1056*c4762a1bSJed Brown       PetscInt       numPoints;
1057*c4762a1bSJed Brown 
1058*c4762a1bSJed Brown       ierr = DMGetStratumIS(dm, lname, ids[fs], &pointIS);CHKERRQ(ierr);
1059*c4762a1bSJed Brown       ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);
1060*c4762a1bSJed Brown       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
1061*c4762a1bSJed Brown       for (p = 0; p < numPoints; ++p) {
1062*c4762a1bSJed Brown         PetscInt newpoint = points[p];
1063*c4762a1bSJed Brown 
1064*c4762a1bSJed Brown         ierr = DMSetLabelValue(sdm, lname, newpoint, ids[fs]);CHKERRQ(ierr);
1065*c4762a1bSJed Brown       }
1066*c4762a1bSJed Brown       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
1067*c4762a1bSJed Brown       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1068*c4762a1bSJed Brown     }
1069*c4762a1bSJed Brown     ierr = ISRestoreIndices(idIS, &ids);CHKERRQ(ierr);
1070*c4762a1bSJed Brown     ierr = ISDestroy(&idIS);CHKERRQ(ierr);
1071*c4762a1bSJed Brown   }
1072*c4762a1bSJed Brown   {
1073*c4762a1bSJed Brown     /* Convert pointSF */
1074*c4762a1bSJed Brown     const PetscSFNode *remotePoints;
1075*c4762a1bSJed Brown     PetscSFNode       *gremotePoints;
1076*c4762a1bSJed Brown     const PetscInt    *localPoints;
1077*c4762a1bSJed Brown     PetscInt          *glocalPoints,*newLocation,*newRemoteLocation;
1078*c4762a1bSJed Brown     PetscInt          numRoots, numLeaves;
1079*c4762a1bSJed Brown     PetscMPIInt       size;
1080*c4762a1bSJed Brown 
1081*c4762a1bSJed Brown     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
1082*c4762a1bSJed Brown     ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
1083*c4762a1bSJed Brown     ierr = DMGetPointSF(sdm, &gsfPoint);CHKERRQ(ierr);
1084*c4762a1bSJed Brown     ierr = DMPlexGetChart(dm,&pStart,&pEnd);CHKERRQ(ierr);
1085*c4762a1bSJed Brown     ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
1086*c4762a1bSJed Brown     if (numRoots >= 0) {
1087*c4762a1bSJed Brown       ierr = PetscMalloc2(numRoots,&newLocation,pEnd-pStart,&newRemoteLocation);CHKERRQ(ierr);
1088*c4762a1bSJed Brown       for (l=0; l<numRoots; l++) newLocation[l] = l; /* + (l >= cEnd ? numGhostCells : 0); */
1089*c4762a1bSJed Brown       ierr = PetscSFBcastBegin(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
1090*c4762a1bSJed Brown       ierr = PetscSFBcastEnd(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
1091*c4762a1bSJed Brown       ierr = PetscMalloc1(numLeaves,    &glocalPoints);CHKERRQ(ierr);
1092*c4762a1bSJed Brown       ierr = PetscMalloc1(numLeaves, &gremotePoints);CHKERRQ(ierr);
1093*c4762a1bSJed Brown       for (l = 0; l < numLeaves; ++l) {
1094*c4762a1bSJed Brown         glocalPoints[l]        = localPoints[l]; /* localPoints[l] >= cEnd ? localPoints[l] + numGhostCells : localPoints[l]; */
1095*c4762a1bSJed Brown         gremotePoints[l].rank  = remotePoints[l].rank;
1096*c4762a1bSJed Brown         gremotePoints[l].index = newRemoteLocation[localPoints[l]];
1097*c4762a1bSJed Brown       }
1098*c4762a1bSJed Brown       ierr = PetscFree2(newLocation,newRemoteLocation);CHKERRQ(ierr);
1099*c4762a1bSJed Brown       ierr = PetscSFSetGraph(gsfPoint, numRoots+numGhostCells, numLeaves, glocalPoints, PETSC_OWN_POINTER, gremotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
1100*c4762a1bSJed Brown     }
1101*c4762a1bSJed Brown     ierr     = DMDestroy(dmSplit);CHKERRQ(ierr);
1102*c4762a1bSJed Brown     *dmSplit = sdm;
1103*c4762a1bSJed Brown   }
1104*c4762a1bSJed Brown   PetscFunctionReturn(0);
1105*c4762a1bSJed Brown }
1106*c4762a1bSJed Brown 
1107*c4762a1bSJed Brown PetscErrorCode CreatePartitionVec(DM dm, DM *dmCell, Vec *partition)
1108*c4762a1bSJed Brown {
1109*c4762a1bSJed Brown   PetscSF        sfPoint;
1110*c4762a1bSJed Brown   PetscSection   coordSection;
1111*c4762a1bSJed Brown   Vec            coordinates;
1112*c4762a1bSJed Brown   PetscSection   sectionCell;
1113*c4762a1bSJed Brown   PetscScalar    *part;
1114*c4762a1bSJed Brown   PetscInt       cStart, cEnd, c;
1115*c4762a1bSJed Brown   PetscMPIInt    rank;
1116*c4762a1bSJed Brown   PetscErrorCode ierr;
1117*c4762a1bSJed Brown 
1118*c4762a1bSJed Brown   PetscFunctionBeginUser;
1119*c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1120*c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1121*c4762a1bSJed Brown   ierr = DMClone(dm, dmCell);CHKERRQ(ierr);
1122*c4762a1bSJed Brown   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
1123*c4762a1bSJed Brown   ierr = DMSetPointSF(*dmCell, sfPoint);CHKERRQ(ierr);
1124*c4762a1bSJed Brown   ierr = DMSetCoordinateSection(*dmCell, PETSC_DETERMINE, coordSection);CHKERRQ(ierr);
1125*c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(*dmCell, coordinates);CHKERRQ(ierr);
1126*c4762a1bSJed Brown   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
1127*c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &sectionCell);CHKERRQ(ierr);
1128*c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(*dmCell, 0, &cStart, &cEnd);CHKERRQ(ierr);
1129*c4762a1bSJed Brown   ierr = PetscSectionSetChart(sectionCell, cStart, cEnd);CHKERRQ(ierr);
1130*c4762a1bSJed Brown   for (c = cStart; c < cEnd; ++c) {
1131*c4762a1bSJed Brown     ierr = PetscSectionSetDof(sectionCell, c, 1);CHKERRQ(ierr);
1132*c4762a1bSJed Brown   }
1133*c4762a1bSJed Brown   ierr = PetscSectionSetUp(sectionCell);CHKERRQ(ierr);
1134*c4762a1bSJed Brown   ierr = DMSetLocalSection(*dmCell, sectionCell);CHKERRQ(ierr);
1135*c4762a1bSJed Brown   ierr = PetscSectionDestroy(&sectionCell);CHKERRQ(ierr);
1136*c4762a1bSJed Brown   ierr = DMCreateLocalVector(*dmCell, partition);CHKERRQ(ierr);
1137*c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject)*partition, "partition");CHKERRQ(ierr);
1138*c4762a1bSJed Brown   ierr = VecGetArray(*partition, &part);CHKERRQ(ierr);
1139*c4762a1bSJed Brown   for (c = cStart; c < cEnd; ++c) {
1140*c4762a1bSJed Brown     PetscScalar *p;
1141*c4762a1bSJed Brown 
1142*c4762a1bSJed Brown     ierr = DMPlexPointLocalRef(*dmCell, c, part, &p);CHKERRQ(ierr);
1143*c4762a1bSJed Brown     p[0] = rank;
1144*c4762a1bSJed Brown   }
1145*c4762a1bSJed Brown   ierr = VecRestoreArray(*partition, &part);CHKERRQ(ierr);
1146*c4762a1bSJed Brown   PetscFunctionReturn(0);
1147*c4762a1bSJed Brown }
1148*c4762a1bSJed Brown 
1149*c4762a1bSJed Brown PetscErrorCode CreateMassMatrix(DM dm, Vec *massMatrix, User user)
1150*c4762a1bSJed Brown {
1151*c4762a1bSJed Brown   DM                dmMass, dmFace, dmCell, dmCoord;
1152*c4762a1bSJed Brown   PetscSection      coordSection;
1153*c4762a1bSJed Brown   Vec               coordinates, facegeom, cellgeom;
1154*c4762a1bSJed Brown   PetscSection      sectionMass;
1155*c4762a1bSJed Brown   PetscScalar       *m;
1156*c4762a1bSJed Brown   const PetscScalar *fgeom, *cgeom, *coords;
1157*c4762a1bSJed Brown   PetscInt          vStart, vEnd, v;
1158*c4762a1bSJed Brown   PetscErrorCode    ierr;
1159*c4762a1bSJed Brown 
1160*c4762a1bSJed Brown   PetscFunctionBeginUser;
1161*c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1162*c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1163*c4762a1bSJed Brown   ierr = DMClone(dm, &dmMass);CHKERRQ(ierr);
1164*c4762a1bSJed Brown   ierr = DMSetCoordinateSection(dmMass, PETSC_DETERMINE, coordSection);CHKERRQ(ierr);
1165*c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(dmMass, coordinates);CHKERRQ(ierr);
1166*c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &sectionMass);CHKERRQ(ierr);
1167*c4762a1bSJed Brown   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1168*c4762a1bSJed Brown   ierr = PetscSectionSetChart(sectionMass, vStart, vEnd);CHKERRQ(ierr);
1169*c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1170*c4762a1bSJed Brown     PetscInt numFaces;
1171*c4762a1bSJed Brown 
1172*c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dmMass, v, &numFaces);CHKERRQ(ierr);
1173*c4762a1bSJed Brown     ierr = PetscSectionSetDof(sectionMass, v, numFaces*numFaces);CHKERRQ(ierr);
1174*c4762a1bSJed Brown   }
1175*c4762a1bSJed Brown   ierr = PetscSectionSetUp(sectionMass);CHKERRQ(ierr);
1176*c4762a1bSJed Brown   ierr = DMSetLocalSection(dmMass, sectionMass);CHKERRQ(ierr);
1177*c4762a1bSJed Brown   ierr = PetscSectionDestroy(&sectionMass);CHKERRQ(ierr);
1178*c4762a1bSJed Brown   ierr = DMGetLocalVector(dmMass, massMatrix);CHKERRQ(ierr);
1179*c4762a1bSJed Brown   ierr = VecGetArray(*massMatrix, &m);CHKERRQ(ierr);
1180*c4762a1bSJed Brown   ierr = DMPlexTSGetGeometryFVM(dm, &facegeom, &cellgeom, NULL);CHKERRQ(ierr);
1181*c4762a1bSJed Brown   ierr = VecGetDM(facegeom, &dmFace);CHKERRQ(ierr);
1182*c4762a1bSJed Brown   ierr = VecGetArrayRead(facegeom, &fgeom);CHKERRQ(ierr);
1183*c4762a1bSJed Brown   ierr = VecGetDM(cellgeom, &dmCell);CHKERRQ(ierr);
1184*c4762a1bSJed Brown   ierr = VecGetArrayRead(cellgeom, &cgeom);CHKERRQ(ierr);
1185*c4762a1bSJed Brown   ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr);
1186*c4762a1bSJed Brown   ierr = VecGetArrayRead(coordinates, &coords);CHKERRQ(ierr);
1187*c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1188*c4762a1bSJed Brown     const PetscInt        *faces;
1189*c4762a1bSJed Brown     PetscFVFaceGeom       *fgA, *fgB, *cg;
1190*c4762a1bSJed Brown     PetscScalar           *vertex;
1191*c4762a1bSJed Brown     PetscInt               numFaces, sides[2], f, g;
1192*c4762a1bSJed Brown 
1193*c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(dmCoord, v, coords, &vertex);CHKERRQ(ierr);
1194*c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dmMass, v, &numFaces);CHKERRQ(ierr);
1195*c4762a1bSJed Brown     ierr = DMPlexGetSupport(dmMass, v, &faces);CHKERRQ(ierr);
1196*c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f) {
1197*c4762a1bSJed Brown       sides[0] = faces[f];
1198*c4762a1bSJed Brown       ierr = DMPlexPointLocalRead(dmFace, faces[f], fgeom, &fgA);CHKERRQ(ierr);
1199*c4762a1bSJed Brown       for (g = 0; g < numFaces; ++g) {
1200*c4762a1bSJed Brown         const PetscInt *cells = NULL;
1201*c4762a1bSJed Brown         PetscReal      area   = 0.0;
1202*c4762a1bSJed Brown         PetscInt       numCells;
1203*c4762a1bSJed Brown 
1204*c4762a1bSJed Brown         sides[1] = faces[g];
1205*c4762a1bSJed Brown         ierr = DMPlexPointLocalRead(dmFace, faces[g], fgeom, &fgB);CHKERRQ(ierr);
1206*c4762a1bSJed Brown         ierr = DMPlexGetJoin(dmMass, 2, sides, &numCells, &cells);CHKERRQ(ierr);
1207*c4762a1bSJed Brown         if (numCells != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "Invalid join for faces");
1208*c4762a1bSJed Brown         ierr = DMPlexPointLocalRead(dmCell, cells[0], cgeom, &cg);CHKERRQ(ierr);
1209*c4762a1bSJed Brown         area += PetscAbsScalar((vertex[0] - cg->centroid[0])*(fgA->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1])*(fgA->centroid[0] - cg->centroid[0]));
1210*c4762a1bSJed Brown         area += PetscAbsScalar((vertex[0] - cg->centroid[0])*(fgB->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1])*(fgB->centroid[0] - cg->centroid[0]));
1211*c4762a1bSJed Brown         m[f*numFaces+g] = Dot2Real(fgA->normal, fgB->normal)*area*0.5;
1212*c4762a1bSJed Brown         ierr = DMPlexRestoreJoin(dmMass, 2, sides, &numCells, &cells);CHKERRQ(ierr);
1213*c4762a1bSJed Brown       }
1214*c4762a1bSJed Brown     }
1215*c4762a1bSJed Brown   }
1216*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(facegeom, &fgeom);CHKERRQ(ierr);
1217*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(cellgeom, &cgeom);CHKERRQ(ierr);
1218*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(coordinates, &coords);CHKERRQ(ierr);
1219*c4762a1bSJed Brown   ierr = VecRestoreArray(*massMatrix, &m);CHKERRQ(ierr);
1220*c4762a1bSJed Brown   ierr = DMDestroy(&dmMass);CHKERRQ(ierr);
1221*c4762a1bSJed Brown   PetscFunctionReturn(0);
1222*c4762a1bSJed Brown }
1223*c4762a1bSJed Brown 
1224*c4762a1bSJed Brown /* Behavior will be different for multi-physics or when using non-default boundary conditions */
1225*c4762a1bSJed Brown static PetscErrorCode ModelSolutionSetDefault(Model mod,SolutionFunction func,void *ctx)
1226*c4762a1bSJed Brown {
1227*c4762a1bSJed Brown   PetscFunctionBeginUser;
1228*c4762a1bSJed Brown   mod->solution    = func;
1229*c4762a1bSJed Brown   mod->solutionctx = ctx;
1230*c4762a1bSJed Brown   PetscFunctionReturn(0);
1231*c4762a1bSJed Brown }
1232*c4762a1bSJed Brown 
1233*c4762a1bSJed Brown static PetscErrorCode ModelFunctionalRegister(Model mod,const char *name,PetscInt *offset,FunctionalFunction func,void *ctx)
1234*c4762a1bSJed Brown {
1235*c4762a1bSJed Brown   PetscErrorCode ierr;
1236*c4762a1bSJed Brown   FunctionalLink link,*ptr;
1237*c4762a1bSJed Brown   PetscInt       lastoffset = -1;
1238*c4762a1bSJed Brown 
1239*c4762a1bSJed Brown   PetscFunctionBeginUser;
1240*c4762a1bSJed Brown   for (ptr=&mod->functionalRegistry; *ptr; ptr = &(*ptr)->next) lastoffset = (*ptr)->offset;
1241*c4762a1bSJed Brown   ierr         = PetscNew(&link);CHKERRQ(ierr);
1242*c4762a1bSJed Brown   ierr         = PetscStrallocpy(name,&link->name);CHKERRQ(ierr);
1243*c4762a1bSJed Brown   link->offset = lastoffset + 1;
1244*c4762a1bSJed Brown   link->func   = func;
1245*c4762a1bSJed Brown   link->ctx    = ctx;
1246*c4762a1bSJed Brown   link->next   = NULL;
1247*c4762a1bSJed Brown   *ptr         = link;
1248*c4762a1bSJed Brown   *offset      = link->offset;
1249*c4762a1bSJed Brown   PetscFunctionReturn(0);
1250*c4762a1bSJed Brown }
1251*c4762a1bSJed Brown 
1252*c4762a1bSJed Brown static PetscErrorCode ModelFunctionalSetFromOptions(Model mod,PetscOptionItems *PetscOptionsObject)
1253*c4762a1bSJed Brown {
1254*c4762a1bSJed Brown   PetscErrorCode ierr;
1255*c4762a1bSJed Brown   PetscInt       i,j;
1256*c4762a1bSJed Brown   FunctionalLink link;
1257*c4762a1bSJed Brown   char           *names[256];
1258*c4762a1bSJed Brown 
1259*c4762a1bSJed Brown   PetscFunctionBeginUser;
1260*c4762a1bSJed Brown   mod->numMonitored = ALEN(names);
1261*c4762a1bSJed Brown   ierr = PetscOptionsStringArray("-monitor","list of functionals to monitor","",names,&mod->numMonitored,NULL);CHKERRQ(ierr);
1262*c4762a1bSJed Brown   /* Create list of functionals that will be computed somehow */
1263*c4762a1bSJed Brown   ierr = PetscMalloc1(mod->numMonitored,&mod->functionalMonitored);CHKERRQ(ierr);
1264*c4762a1bSJed Brown   /* Create index of calls that we will have to make to compute these functionals (over-allocation in general). */
1265*c4762a1bSJed Brown   ierr = PetscMalloc1(mod->numMonitored,&mod->functionalCall);CHKERRQ(ierr);
1266*c4762a1bSJed Brown   mod->numCall = 0;
1267*c4762a1bSJed Brown   for (i=0; i<mod->numMonitored; i++) {
1268*c4762a1bSJed Brown     for (link=mod->functionalRegistry; link; link=link->next) {
1269*c4762a1bSJed Brown       PetscBool match;
1270*c4762a1bSJed Brown       ierr = PetscStrcasecmp(names[i],link->name,&match);CHKERRQ(ierr);
1271*c4762a1bSJed Brown       if (match) break;
1272*c4762a1bSJed Brown     }
1273*c4762a1bSJed Brown     if (!link) SETERRQ1(mod->comm,PETSC_ERR_USER,"No known functional '%s'",names[i]);
1274*c4762a1bSJed Brown     mod->functionalMonitored[i] = link;
1275*c4762a1bSJed Brown     for (j=0; j<i; j++) {
1276*c4762a1bSJed Brown       if (mod->functionalCall[j]->func == link->func && mod->functionalCall[j]->ctx == link->ctx) goto next_name;
1277*c4762a1bSJed Brown     }
1278*c4762a1bSJed Brown     mod->functionalCall[mod->numCall++] = link; /* Just points to the first link using the result. There may be more results. */
1279*c4762a1bSJed Brown next_name:
1280*c4762a1bSJed Brown     ierr = PetscFree(names[i]);CHKERRQ(ierr);
1281*c4762a1bSJed Brown   }
1282*c4762a1bSJed Brown 
1283*c4762a1bSJed Brown   /* Find out the maximum index of any functional computed by a function we will be calling (even if we are not using it) */
1284*c4762a1bSJed Brown   mod->maxComputed = -1;
1285*c4762a1bSJed Brown   for (link=mod->functionalRegistry; link; link=link->next) {
1286*c4762a1bSJed Brown     for (i=0; i<mod->numCall; i++) {
1287*c4762a1bSJed Brown       FunctionalLink call = mod->functionalCall[i];
1288*c4762a1bSJed Brown       if (link->func == call->func && link->ctx == call->ctx) {
1289*c4762a1bSJed Brown         mod->maxComputed = PetscMax(mod->maxComputed,link->offset);
1290*c4762a1bSJed Brown       }
1291*c4762a1bSJed Brown     }
1292*c4762a1bSJed Brown   }
1293*c4762a1bSJed Brown   PetscFunctionReturn(0);
1294*c4762a1bSJed Brown }
1295*c4762a1bSJed Brown 
1296*c4762a1bSJed Brown static PetscErrorCode FunctionalLinkDestroy(FunctionalLink *link)
1297*c4762a1bSJed Brown {
1298*c4762a1bSJed Brown   PetscErrorCode ierr;
1299*c4762a1bSJed Brown   FunctionalLink l,next;
1300*c4762a1bSJed Brown 
1301*c4762a1bSJed Brown   PetscFunctionBeginUser;
1302*c4762a1bSJed Brown   if (!link) PetscFunctionReturn(0);
1303*c4762a1bSJed Brown   l     = *link;
1304*c4762a1bSJed Brown   *link = NULL;
1305*c4762a1bSJed Brown   for (; l; l=next) {
1306*c4762a1bSJed Brown     next = l->next;
1307*c4762a1bSJed Brown     ierr = PetscFree(l->name);CHKERRQ(ierr);
1308*c4762a1bSJed Brown     ierr = PetscFree(l);CHKERRQ(ierr);
1309*c4762a1bSJed Brown   }
1310*c4762a1bSJed Brown   PetscFunctionReturn(0);
1311*c4762a1bSJed Brown }
1312*c4762a1bSJed Brown 
1313*c4762a1bSJed Brown /* put the solution callback into a functional callback */
1314*c4762a1bSJed Brown static PetscErrorCode SolutionFunctional(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *modctx)
1315*c4762a1bSJed Brown {
1316*c4762a1bSJed Brown   Model          mod;
1317*c4762a1bSJed Brown   PetscErrorCode ierr;
1318*c4762a1bSJed Brown   PetscFunctionBegin;
1319*c4762a1bSJed Brown   mod  = (Model) modctx;
1320*c4762a1bSJed Brown   ierr = (*mod->solution)(mod, time, x, u, mod->solutionctx);CHKERRQ(ierr);
1321*c4762a1bSJed Brown   PetscFunctionReturn(0);
1322*c4762a1bSJed Brown }
1323*c4762a1bSJed Brown 
1324*c4762a1bSJed Brown PetscErrorCode SetInitialCondition(DM dm, Vec X, User user)
1325*c4762a1bSJed Brown {
1326*c4762a1bSJed Brown   PetscErrorCode     (*func[1]) (PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
1327*c4762a1bSJed Brown   void               *ctx[1];
1328*c4762a1bSJed Brown   Model              mod = user->model;
1329*c4762a1bSJed Brown   PetscErrorCode     ierr;
1330*c4762a1bSJed Brown 
1331*c4762a1bSJed Brown   PetscFunctionBeginUser;
1332*c4762a1bSJed Brown   func[0] = SolutionFunctional;
1333*c4762a1bSJed Brown   ctx[0]  = (void *) mod;
1334*c4762a1bSJed Brown   ierr    = DMProjectFunction(dm,0.0,func,ctx,INSERT_ALL_VALUES,X);CHKERRQ(ierr);
1335*c4762a1bSJed Brown   PetscFunctionReturn(0);
1336*c4762a1bSJed Brown }
1337*c4762a1bSJed Brown 
1338*c4762a1bSJed Brown static PetscErrorCode OutputVTK(DM dm, const char *filename, PetscViewer *viewer)
1339*c4762a1bSJed Brown {
1340*c4762a1bSJed Brown   PetscErrorCode ierr;
1341*c4762a1bSJed Brown 
1342*c4762a1bSJed Brown   PetscFunctionBeginUser;
1343*c4762a1bSJed Brown   ierr = PetscViewerCreate(PetscObjectComm((PetscObject)dm), viewer);CHKERRQ(ierr);
1344*c4762a1bSJed Brown   ierr = PetscViewerSetType(*viewer, PETSCVIEWERVTK);CHKERRQ(ierr);
1345*c4762a1bSJed Brown   ierr = PetscViewerFileSetName(*viewer, filename);CHKERRQ(ierr);
1346*c4762a1bSJed Brown   PetscFunctionReturn(0);
1347*c4762a1bSJed Brown }
1348*c4762a1bSJed Brown 
1349*c4762a1bSJed Brown static PetscErrorCode MonitorVTK(TS ts,PetscInt stepnum,PetscReal time,Vec X,void *ctx)
1350*c4762a1bSJed Brown {
1351*c4762a1bSJed Brown   User           user = (User)ctx;
1352*c4762a1bSJed Brown   DM             dm;
1353*c4762a1bSJed Brown   Vec            cellgeom;
1354*c4762a1bSJed Brown   PetscViewer    viewer;
1355*c4762a1bSJed Brown   char           filename[PETSC_MAX_PATH_LEN],*ftable = NULL;
1356*c4762a1bSJed Brown   PetscReal      xnorm;
1357*c4762a1bSJed Brown   PetscErrorCode ierr;
1358*c4762a1bSJed Brown 
1359*c4762a1bSJed Brown   PetscFunctionBeginUser;
1360*c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) X, "u");CHKERRQ(ierr);
1361*c4762a1bSJed Brown   ierr = VecGetDM(X,&dm);CHKERRQ(ierr);
1362*c4762a1bSJed Brown   ierr = DMPlexTSGetGeometryFVM(dm, NULL, &cellgeom, NULL);CHKERRQ(ierr);
1363*c4762a1bSJed Brown   ierr = VecNorm(X,NORM_INFINITY,&xnorm);CHKERRQ(ierr);
1364*c4762a1bSJed Brown 
1365*c4762a1bSJed Brown   if (stepnum >= 0) {
1366*c4762a1bSJed Brown     stepnum += user->monitorStepOffset;
1367*c4762a1bSJed Brown   }
1368*c4762a1bSJed Brown   if (stepnum >= 0) {           /* No summary for final time */
1369*c4762a1bSJed Brown     Model             mod = user->model;
1370*c4762a1bSJed Brown     PetscInt          c,cStart,cEnd,fcount,i;
1371*c4762a1bSJed Brown     size_t            ftableused,ftablealloc;
1372*c4762a1bSJed Brown     const PetscScalar *cgeom,*x;
1373*c4762a1bSJed Brown     DM                dmCell;
1374*c4762a1bSJed Brown     DMLabel           vtkLabel;
1375*c4762a1bSJed Brown     PetscReal         *fmin,*fmax,*fintegral,*ftmp;
1376*c4762a1bSJed Brown     fcount = mod->maxComputed+1;
1377*c4762a1bSJed Brown     ierr   = PetscMalloc4(fcount,&fmin,fcount,&fmax,fcount,&fintegral,fcount,&ftmp);CHKERRQ(ierr);
1378*c4762a1bSJed Brown     for (i=0; i<fcount; i++) {
1379*c4762a1bSJed Brown       fmin[i]      = PETSC_MAX_REAL;
1380*c4762a1bSJed Brown       fmax[i]      = PETSC_MIN_REAL;
1381*c4762a1bSJed Brown       fintegral[i] = 0;
1382*c4762a1bSJed Brown     }
1383*c4762a1bSJed Brown     ierr = VecGetDM(cellgeom,&dmCell);CHKERRQ(ierr);
1384*c4762a1bSJed Brown     ierr = DMPlexGetInteriorCellStratum(dmCell,&cStart,&cEnd);CHKERRQ(ierr);
1385*c4762a1bSJed Brown     ierr = VecGetArrayRead(cellgeom,&cgeom);CHKERRQ(ierr);
1386*c4762a1bSJed Brown     ierr = VecGetArrayRead(X,&x);CHKERRQ(ierr);
1387*c4762a1bSJed Brown     ierr = DMGetLabel(dm,"vtk",&vtkLabel);CHKERRQ(ierr);
1388*c4762a1bSJed Brown     for (c = cStart; c < cEnd; ++c) {
1389*c4762a1bSJed Brown       PetscFVCellGeom       *cg;
1390*c4762a1bSJed Brown       const PetscScalar     *cx    = NULL;
1391*c4762a1bSJed Brown       PetscInt              vtkVal = 0;
1392*c4762a1bSJed Brown 
1393*c4762a1bSJed Brown       /* not that these two routines as currently implemented work for any dm with a
1394*c4762a1bSJed Brown        * localSection/globalSection */
1395*c4762a1bSJed Brown       ierr = DMPlexPointLocalRead(dmCell,c,cgeom,&cg);CHKERRQ(ierr);
1396*c4762a1bSJed Brown       ierr = DMPlexPointGlobalRead(dm,c,x,&cx);CHKERRQ(ierr);
1397*c4762a1bSJed Brown       if (vtkLabel) {ierr = DMLabelGetValue(vtkLabel,c,&vtkVal);CHKERRQ(ierr);}
1398*c4762a1bSJed Brown       if (!vtkVal || !cx) continue;        /* ghost, or not a global cell */
1399*c4762a1bSJed Brown       for (i=0; i<mod->numCall; i++) {
1400*c4762a1bSJed Brown         FunctionalLink flink = mod->functionalCall[i];
1401*c4762a1bSJed Brown         ierr = (*flink->func)(mod,time,cg->centroid,cx,ftmp,flink->ctx);CHKERRQ(ierr);
1402*c4762a1bSJed Brown       }
1403*c4762a1bSJed Brown       for (i=0; i<fcount; i++) {
1404*c4762a1bSJed Brown         fmin[i]       = PetscMin(fmin[i],ftmp[i]);
1405*c4762a1bSJed Brown         fmax[i]       = PetscMax(fmax[i],ftmp[i]);
1406*c4762a1bSJed Brown         fintegral[i] += cg->volume * ftmp[i];
1407*c4762a1bSJed Brown       }
1408*c4762a1bSJed Brown     }
1409*c4762a1bSJed Brown     ierr = VecRestoreArrayRead(cellgeom,&cgeom);CHKERRQ(ierr);
1410*c4762a1bSJed Brown     ierr = VecRestoreArrayRead(X,&x);CHKERRQ(ierr);
1411*c4762a1bSJed Brown     ierr = MPI_Allreduce(MPI_IN_PLACE,fmin,fcount,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
1412*c4762a1bSJed Brown     ierr = MPI_Allreduce(MPI_IN_PLACE,fmax,fcount,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
1413*c4762a1bSJed Brown     ierr = MPI_Allreduce(MPI_IN_PLACE,fintegral,fcount,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
1414*c4762a1bSJed Brown 
1415*c4762a1bSJed Brown     ftablealloc = fcount * 100;
1416*c4762a1bSJed Brown     ftableused  = 0;
1417*c4762a1bSJed Brown     ierr        = PetscMalloc1(ftablealloc,&ftable);CHKERRQ(ierr);
1418*c4762a1bSJed Brown     for (i=0; i<mod->numMonitored; i++) {
1419*c4762a1bSJed Brown       size_t         countused;
1420*c4762a1bSJed Brown       char           buffer[256],*p;
1421*c4762a1bSJed Brown       FunctionalLink flink = mod->functionalMonitored[i];
1422*c4762a1bSJed Brown       PetscInt       id    = flink->offset;
1423*c4762a1bSJed Brown       if (i % 3) {
1424*c4762a1bSJed Brown         ierr = PetscArraycpy(buffer,"  ",2);CHKERRQ(ierr);
1425*c4762a1bSJed Brown         p    = buffer + 2;
1426*c4762a1bSJed Brown       } else if (i) {
1427*c4762a1bSJed Brown         char newline[] = "\n";
1428*c4762a1bSJed Brown         ierr = PetscMemcpy(buffer,newline,sizeof(newline)-1);CHKERRQ(ierr);
1429*c4762a1bSJed Brown         p    = buffer + sizeof(newline) - 1;
1430*c4762a1bSJed Brown       } else {
1431*c4762a1bSJed Brown         p = buffer;
1432*c4762a1bSJed Brown       }
1433*c4762a1bSJed Brown       ierr = PetscSNPrintfCount(p,sizeof buffer-(p-buffer),"%12s [%10.7g,%10.7g] int %10.7g",&countused,flink->name,(double)fmin[id],(double)fmax[id],(double)fintegral[id]);CHKERRQ(ierr);
1434*c4762a1bSJed Brown       countused--;
1435*c4762a1bSJed Brown       countused += p - buffer;
1436*c4762a1bSJed Brown       if (countused > ftablealloc-ftableused-1) { /* reallocate */
1437*c4762a1bSJed Brown         char *ftablenew;
1438*c4762a1bSJed Brown         ftablealloc = 2*ftablealloc + countused;
1439*c4762a1bSJed Brown         ierr = PetscMalloc(ftablealloc,&ftablenew);CHKERRQ(ierr);
1440*c4762a1bSJed Brown         ierr = PetscArraycpy(ftablenew,ftable,ftableused);CHKERRQ(ierr);
1441*c4762a1bSJed Brown         ierr = PetscFree(ftable);CHKERRQ(ierr);
1442*c4762a1bSJed Brown         ftable = ftablenew;
1443*c4762a1bSJed Brown       }
1444*c4762a1bSJed Brown       ierr = PetscArraycpy(ftable+ftableused,buffer,countused);CHKERRQ(ierr);
1445*c4762a1bSJed Brown       ftableused += countused;
1446*c4762a1bSJed Brown       ftable[ftableused] = 0;
1447*c4762a1bSJed Brown     }
1448*c4762a1bSJed Brown     ierr = PetscFree4(fmin,fmax,fintegral,ftmp);CHKERRQ(ierr);
1449*c4762a1bSJed Brown 
1450*c4762a1bSJed Brown     ierr = PetscPrintf(PetscObjectComm((PetscObject)ts),"% 3D  time %8.4g  |x| %8.4g  %s\n",stepnum,(double)time,(double)xnorm,ftable ? ftable : "");CHKERRQ(ierr);
1451*c4762a1bSJed Brown     ierr = PetscFree(ftable);CHKERRQ(ierr);
1452*c4762a1bSJed Brown   }
1453*c4762a1bSJed Brown   if (user->vtkInterval < 1) PetscFunctionReturn(0);
1454*c4762a1bSJed Brown   if ((stepnum == -1) ^ (stepnum % user->vtkInterval == 0)) {
1455*c4762a1bSJed Brown     if (stepnum == -1) {        /* Final time is not multiple of normal time interval, write it anyway */
1456*c4762a1bSJed Brown       ierr = TSGetStepNumber(ts,&stepnum);CHKERRQ(ierr);
1457*c4762a1bSJed Brown     }
1458*c4762a1bSJed Brown     ierr = PetscSNPrintf(filename,sizeof filename,"%s-%03D.vtu",user->outputBasename,stepnum);CHKERRQ(ierr);
1459*c4762a1bSJed Brown     ierr = OutputVTK(dm,filename,&viewer);CHKERRQ(ierr);
1460*c4762a1bSJed Brown     ierr = VecView(X,viewer);CHKERRQ(ierr);
1461*c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1462*c4762a1bSJed Brown   }
1463*c4762a1bSJed Brown   PetscFunctionReturn(0);
1464*c4762a1bSJed Brown }
1465*c4762a1bSJed Brown 
1466*c4762a1bSJed Brown static PetscErrorCode initializeTS(DM dm, User user, TS *ts)
1467*c4762a1bSJed Brown {
1468*c4762a1bSJed Brown   PetscErrorCode ierr;
1469*c4762a1bSJed Brown 
1470*c4762a1bSJed Brown   PetscFunctionBegin;
1471*c4762a1bSJed Brown   ierr = TSCreate(PetscObjectComm((PetscObject)dm), ts);CHKERRQ(ierr);
1472*c4762a1bSJed Brown   ierr = TSSetType(*ts, TSSSP);CHKERRQ(ierr);
1473*c4762a1bSJed Brown   ierr = TSSetDM(*ts, dm);CHKERRQ(ierr);
1474*c4762a1bSJed Brown   if (user->vtkmon) {
1475*c4762a1bSJed Brown     ierr = TSMonitorSet(*ts,MonitorVTK,user,NULL);CHKERRQ(ierr);
1476*c4762a1bSJed Brown   }
1477*c4762a1bSJed Brown   ierr = DMTSSetBoundaryLocal(dm, DMPlexTSComputeBoundary, user);CHKERRQ(ierr);
1478*c4762a1bSJed Brown   ierr = DMTSSetRHSFunctionLocal(dm, DMPlexTSComputeRHSFunctionFVM, user);CHKERRQ(ierr);
1479*c4762a1bSJed Brown   ierr = TSSetMaxTime(*ts,2.0);CHKERRQ(ierr);
1480*c4762a1bSJed Brown   ierr = TSSetExactFinalTime(*ts,TS_EXACTFINALTIME_STEPOVER);CHKERRQ(ierr);
1481*c4762a1bSJed Brown   PetscFunctionReturn(0);
1482*c4762a1bSJed Brown }
1483*c4762a1bSJed Brown 
1484*c4762a1bSJed Brown static PetscErrorCode adaptToleranceFVM(PetscFV fvm, TS ts, Vec sol, VecTagger refineTag, VecTagger coarsenTag, User user, TS *tsNew, Vec *solNew)
1485*c4762a1bSJed Brown {
1486*c4762a1bSJed Brown   DM                dm, gradDM, plex, cellDM, adaptedDM = NULL;
1487*c4762a1bSJed Brown   Vec               cellGeom, faceGeom;
1488*c4762a1bSJed Brown   PetscBool         isForest, computeGradient;
1489*c4762a1bSJed Brown   Vec               grad, locGrad, locX, errVec;
1490*c4762a1bSJed Brown   PetscInt          cStart, cEnd, c, dim, nRefine, nCoarsen;
1491*c4762a1bSJed Brown   PetscReal         minMaxInd[2] = {PETSC_MAX_REAL, PETSC_MIN_REAL}, minMaxIndGlobal[2], minInd, maxInd, time;
1492*c4762a1bSJed Brown   PetscScalar       *errArray;
1493*c4762a1bSJed Brown   const PetscScalar *pointVals;
1494*c4762a1bSJed Brown   const PetscScalar *pointGrads;
1495*c4762a1bSJed Brown   const PetscScalar *pointGeom;
1496*c4762a1bSJed Brown   DMLabel           adaptLabel = NULL;
1497*c4762a1bSJed Brown   IS                refineIS, coarsenIS;
1498*c4762a1bSJed Brown   PetscErrorCode    ierr;
1499*c4762a1bSJed Brown 
1500*c4762a1bSJed Brown   PetscFunctionBegin;
1501*c4762a1bSJed Brown   ierr = TSGetTime(ts,&time);CHKERRQ(ierr);
1502*c4762a1bSJed Brown   ierr = VecGetDM(sol, &dm);CHKERRQ(ierr);
1503*c4762a1bSJed Brown   ierr = DMGetDimension(dm,&dim);CHKERRQ(ierr);
1504*c4762a1bSJed Brown   ierr = PetscFVGetComputeGradients(fvm,&computeGradient);CHKERRQ(ierr);
1505*c4762a1bSJed Brown   ierr = PetscFVSetComputeGradients(fvm,PETSC_TRUE);CHKERRQ(ierr);
1506*c4762a1bSJed Brown   ierr = DMIsForest(dm, &isForest);CHKERRQ(ierr);
1507*c4762a1bSJed Brown   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1508*c4762a1bSJed Brown   ierr = DMPlexGetDataFVM(plex, fvm, &cellGeom, &faceGeom, &gradDM);CHKERRQ(ierr);
1509*c4762a1bSJed Brown   ierr = DMCreateLocalVector(plex,&locX);CHKERRQ(ierr);
1510*c4762a1bSJed Brown   ierr = DMPlexInsertBoundaryValues(plex, PETSC_TRUE, locX, 0.0, faceGeom, cellGeom, NULL);CHKERRQ(ierr);
1511*c4762a1bSJed Brown   ierr = DMGlobalToLocalBegin(plex, sol, INSERT_VALUES, locX);CHKERRQ(ierr);
1512*c4762a1bSJed Brown   ierr = DMGlobalToLocalEnd  (plex, sol, INSERT_VALUES, locX);CHKERRQ(ierr);
1513*c4762a1bSJed Brown   ierr = DMCreateGlobalVector(gradDM, &grad);CHKERRQ(ierr);
1514*c4762a1bSJed Brown   ierr = DMPlexReconstructGradientsFVM(plex, locX, grad);CHKERRQ(ierr);
1515*c4762a1bSJed Brown   ierr = DMCreateLocalVector(gradDM, &locGrad);CHKERRQ(ierr);
1516*c4762a1bSJed Brown   ierr = DMGlobalToLocalBegin(gradDM, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1517*c4762a1bSJed Brown   ierr = DMGlobalToLocalEnd(gradDM, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1518*c4762a1bSJed Brown   ierr = VecDestroy(&grad);CHKERRQ(ierr);
1519*c4762a1bSJed Brown   ierr = DMPlexGetInteriorCellStratum(plex,&cStart,&cEnd);CHKERRQ(ierr);
1520*c4762a1bSJed Brown   ierr = VecGetArrayRead(locGrad,&pointGrads);CHKERRQ(ierr);
1521*c4762a1bSJed Brown   ierr = VecGetArrayRead(cellGeom,&pointGeom);CHKERRQ(ierr);
1522*c4762a1bSJed Brown   ierr = VecGetArrayRead(locX,&pointVals);CHKERRQ(ierr);
1523*c4762a1bSJed Brown   ierr = VecGetDM(cellGeom,&cellDM);CHKERRQ(ierr);
1524*c4762a1bSJed Brown   ierr = DMLabelCreate(PETSC_COMM_SELF,"adapt",&adaptLabel);CHKERRQ(ierr);
1525*c4762a1bSJed Brown   ierr = VecCreateMPI(PetscObjectComm((PetscObject)plex),cEnd-cStart,PETSC_DETERMINE,&errVec);CHKERRQ(ierr);
1526*c4762a1bSJed Brown   ierr = VecSetUp(errVec);CHKERRQ(ierr);
1527*c4762a1bSJed Brown   ierr = VecGetArray(errVec,&errArray);CHKERRQ(ierr);
1528*c4762a1bSJed Brown   for (c = cStart; c < cEnd; c++) {
1529*c4762a1bSJed Brown     PetscReal             errInd = 0.;
1530*c4762a1bSJed Brown     PetscScalar           *pointGrad;
1531*c4762a1bSJed Brown     PetscScalar           *pointVal;
1532*c4762a1bSJed Brown     PetscFVCellGeom       *cg;
1533*c4762a1bSJed Brown 
1534*c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(gradDM,c,pointGrads,&pointGrad);CHKERRQ(ierr);
1535*c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(cellDM,c,pointGeom,&cg);CHKERRQ(ierr);
1536*c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(plex,c,pointVals,&pointVal);CHKERRQ(ierr);
1537*c4762a1bSJed Brown 
1538*c4762a1bSJed Brown     ierr = (user->model->errorIndicator)(dim,cg->volume,user->model->physics->dof,pointVal,pointGrad,&errInd,user->model->errorCtx);CHKERRQ(ierr);
1539*c4762a1bSJed Brown     errArray[c-cStart] = errInd;
1540*c4762a1bSJed Brown     minMaxInd[0] = PetscMin(minMaxInd[0],errInd);
1541*c4762a1bSJed Brown     minMaxInd[1] = PetscMax(minMaxInd[1],errInd);
1542*c4762a1bSJed Brown   }
1543*c4762a1bSJed Brown   ierr = VecRestoreArray(errVec,&errArray);CHKERRQ(ierr);
1544*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(locX,&pointVals);CHKERRQ(ierr);
1545*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(cellGeom,&pointGeom);CHKERRQ(ierr);
1546*c4762a1bSJed Brown   ierr = VecRestoreArrayRead(locGrad,&pointGrads);CHKERRQ(ierr);
1547*c4762a1bSJed Brown   ierr = VecDestroy(&locGrad);CHKERRQ(ierr);
1548*c4762a1bSJed Brown   ierr = VecDestroy(&locX);CHKERRQ(ierr);
1549*c4762a1bSJed Brown   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1550*c4762a1bSJed Brown 
1551*c4762a1bSJed Brown   ierr = VecTaggerComputeIS(refineTag,errVec,&refineIS);CHKERRQ(ierr);
1552*c4762a1bSJed Brown   ierr = VecTaggerComputeIS(coarsenTag,errVec,&coarsenIS);CHKERRQ(ierr);
1553*c4762a1bSJed Brown   ierr = ISGetSize(refineIS,&nRefine);CHKERRQ(ierr);
1554*c4762a1bSJed Brown   ierr = ISGetSize(coarsenIS,&nCoarsen);CHKERRQ(ierr);
1555*c4762a1bSJed Brown   if (nRefine) {ierr = DMLabelSetStratumIS(adaptLabel,DM_ADAPT_REFINE,refineIS);CHKERRQ(ierr);}
1556*c4762a1bSJed Brown   if (nCoarsen) {ierr = DMLabelSetStratumIS(adaptLabel,DM_ADAPT_COARSEN,coarsenIS);CHKERRQ(ierr);}
1557*c4762a1bSJed Brown   ierr = ISDestroy(&coarsenIS);CHKERRQ(ierr);
1558*c4762a1bSJed Brown   ierr = ISDestroy(&refineIS);CHKERRQ(ierr);
1559*c4762a1bSJed Brown   ierr = VecDestroy(&errVec);CHKERRQ(ierr);
1560*c4762a1bSJed Brown 
1561*c4762a1bSJed Brown   ierr = PetscFVSetComputeGradients(fvm,computeGradient);CHKERRQ(ierr);
1562*c4762a1bSJed Brown   minMaxInd[1] = -minMaxInd[1];
1563*c4762a1bSJed Brown   ierr = MPI_Allreduce(minMaxInd,minMaxIndGlobal,2,MPIU_REAL,MPI_MIN,PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
1564*c4762a1bSJed Brown   minInd = minMaxIndGlobal[0];
1565*c4762a1bSJed Brown   maxInd = -minMaxIndGlobal[1];
1566*c4762a1bSJed Brown   ierr = PetscInfo2(ts, "error indicator range (%E, %E)\n", minInd, maxInd);CHKERRQ(ierr);
1567*c4762a1bSJed Brown   if (nRefine || nCoarsen) { /* at least one cell is over the refinement threshold */
1568*c4762a1bSJed Brown     ierr = DMAdaptLabel(dm,adaptLabel,&adaptedDM);CHKERRQ(ierr);
1569*c4762a1bSJed Brown   }
1570*c4762a1bSJed Brown   ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
1571*c4762a1bSJed Brown   if (adaptedDM) {
1572*c4762a1bSJed Brown     ierr = PetscInfo2(ts, "Adapted mesh, marking %D cells for refinement, and %D cells for coarsening\n", nRefine, nCoarsen);CHKERRQ(ierr);
1573*c4762a1bSJed Brown     if (tsNew) {ierr = initializeTS(adaptedDM, user, tsNew);CHKERRQ(ierr);}
1574*c4762a1bSJed Brown     if (solNew) {
1575*c4762a1bSJed Brown       ierr = DMCreateGlobalVector(adaptedDM, solNew);CHKERRQ(ierr);
1576*c4762a1bSJed Brown       ierr = PetscObjectSetName((PetscObject) *solNew, "solution");CHKERRQ(ierr);
1577*c4762a1bSJed Brown       ierr = DMForestTransferVec(dm, sol, adaptedDM, *solNew, PETSC_TRUE, time);CHKERRQ(ierr);
1578*c4762a1bSJed Brown     }
1579*c4762a1bSJed Brown     if (isForest) {ierr = DMForestSetAdaptivityForest(adaptedDM,NULL);CHKERRQ(ierr);} /* clear internal references to the previous dm */
1580*c4762a1bSJed Brown     ierr = DMDestroy(&adaptedDM);CHKERRQ(ierr);
1581*c4762a1bSJed Brown   } else {
1582*c4762a1bSJed Brown     if (tsNew)  *tsNew  = NULL;
1583*c4762a1bSJed Brown     if (solNew) *solNew = NULL;
1584*c4762a1bSJed Brown   }
1585*c4762a1bSJed Brown   PetscFunctionReturn(0);
1586*c4762a1bSJed Brown }
1587*c4762a1bSJed Brown 
1588*c4762a1bSJed Brown int main(int argc, char **argv)
1589*c4762a1bSJed Brown {
1590*c4762a1bSJed Brown   MPI_Comm          comm;
1591*c4762a1bSJed Brown   PetscDS           prob;
1592*c4762a1bSJed Brown   PetscFV           fvm;
1593*c4762a1bSJed Brown   PetscLimiter      limiter = NULL, noneLimiter = NULL;
1594*c4762a1bSJed Brown   User              user;
1595*c4762a1bSJed Brown   Model             mod;
1596*c4762a1bSJed Brown   Physics           phys;
1597*c4762a1bSJed Brown   DM                dm;
1598*c4762a1bSJed Brown   PetscReal         ftime, cfl, dt, minRadius;
1599*c4762a1bSJed Brown   PetscInt          dim, nsteps;
1600*c4762a1bSJed Brown   TS                ts;
1601*c4762a1bSJed Brown   TSConvergedReason reason;
1602*c4762a1bSJed Brown   Vec               X;
1603*c4762a1bSJed Brown   PetscViewer       viewer;
1604*c4762a1bSJed Brown   PetscBool         simplex = PETSC_FALSE, vtkCellGeom, splitFaces, useAMR;
1605*c4762a1bSJed Brown   PetscInt          overlap, adaptInterval;
1606*c4762a1bSJed Brown   char              filename[PETSC_MAX_PATH_LEN] = "";
1607*c4762a1bSJed Brown   char              physname[256]  = "advect";
1608*c4762a1bSJed Brown   VecTagger         refineTag = NULL, coarsenTag = NULL;
1609*c4762a1bSJed Brown   PetscErrorCode    ierr;
1610*c4762a1bSJed Brown 
1611*c4762a1bSJed Brown   ierr = PetscInitialize(&argc, &argv, (char*) 0, help);if (ierr) return ierr;
1612*c4762a1bSJed Brown   comm = PETSC_COMM_WORLD;
1613*c4762a1bSJed Brown 
1614*c4762a1bSJed Brown   ierr          = PetscNew(&user);CHKERRQ(ierr);
1615*c4762a1bSJed Brown   ierr          = PetscNew(&user->model);CHKERRQ(ierr);
1616*c4762a1bSJed Brown   ierr          = PetscNew(&user->model->physics);CHKERRQ(ierr);
1617*c4762a1bSJed Brown   mod           = user->model;
1618*c4762a1bSJed Brown   phys          = mod->physics;
1619*c4762a1bSJed Brown   mod->comm     = comm;
1620*c4762a1bSJed Brown   useAMR        = PETSC_FALSE;
1621*c4762a1bSJed Brown   adaptInterval = 1;
1622*c4762a1bSJed Brown 
1623*c4762a1bSJed Brown   /* Register physical models to be available on the command line */
1624*c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"advect"          ,PhysicsCreate_Advect);CHKERRQ(ierr);
1625*c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"sw"              ,PhysicsCreate_SW);CHKERRQ(ierr);
1626*c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"euler"           ,PhysicsCreate_Euler);CHKERRQ(ierr);
1627*c4762a1bSJed Brown 
1628*c4762a1bSJed Brown   ierr = PetscOptionsBegin(comm,NULL,"Unstructured Finite Volume Mesh Options","");CHKERRQ(ierr);
1629*c4762a1bSJed Brown   {
1630*c4762a1bSJed Brown     cfl  = 0.9 * 4; /* default SSPRKS2 with s=5 stages is stable for CFL number s-1 */
1631*c4762a1bSJed Brown     ierr = PetscOptionsReal("-ufv_cfl","CFL number per step","",cfl,&cfl,NULL);CHKERRQ(ierr);
1632*c4762a1bSJed Brown     ierr = PetscOptionsString("-f","Exodus.II filename to read","",filename,filename,sizeof(filename),NULL);CHKERRQ(ierr);
1633*c4762a1bSJed Brown     ierr = PetscOptionsBool("-simplex","Flag to use a simplex mesh","",simplex,&simplex,NULL);CHKERRQ(ierr);
1634*c4762a1bSJed Brown     splitFaces = PETSC_FALSE;
1635*c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_split_faces","Split faces between cell sets","",splitFaces,&splitFaces,NULL);CHKERRQ(ierr);
1636*c4762a1bSJed Brown     overlap = 1;
1637*c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_mesh_overlap","Number of cells to overlap partitions","",overlap,&overlap,NULL);CHKERRQ(ierr);
1638*c4762a1bSJed Brown     user->vtkInterval = 1;
1639*c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_vtk_interval","VTK output interval (0 to disable)","",user->vtkInterval,&user->vtkInterval,NULL);CHKERRQ(ierr);
1640*c4762a1bSJed Brown     user->vtkmon = PETSC_TRUE;
1641*c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_vtk_monitor","Use VTKMonitor routine","",user->vtkmon,&user->vtkmon,NULL);CHKERRQ(ierr);
1642*c4762a1bSJed Brown     vtkCellGeom = PETSC_FALSE;
1643*c4762a1bSJed Brown     ierr = PetscStrcpy(user->outputBasename, "ex11");CHKERRQ(ierr);
1644*c4762a1bSJed Brown     ierr = PetscOptionsString("-ufv_vtk_basename","VTK output basename","",user->outputBasename,user->outputBasename,PETSC_MAX_PATH_LEN,NULL);CHKERRQ(ierr);
1645*c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_vtk_cellgeom","Write cell geometry (for debugging)","",vtkCellGeom,&vtkCellGeom,NULL);CHKERRQ(ierr);
1646*c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_use_amr","use local adaptive mesh refinement","",useAMR,&useAMR,NULL);CHKERRQ(ierr);
1647*c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_adapt_interval","time steps between AMR","",adaptInterval,&adaptInterval,NULL);CHKERRQ(ierr);
1648*c4762a1bSJed Brown   }
1649*c4762a1bSJed Brown   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1650*c4762a1bSJed Brown 
1651*c4762a1bSJed Brown   if (useAMR) {
1652*c4762a1bSJed Brown     VecTaggerBox refineBox, coarsenBox;
1653*c4762a1bSJed Brown 
1654*c4762a1bSJed Brown     refineBox.min  = refineBox.max  = PETSC_MAX_REAL;
1655*c4762a1bSJed Brown     coarsenBox.min = coarsenBox.max = PETSC_MIN_REAL;
1656*c4762a1bSJed Brown 
1657*c4762a1bSJed Brown     ierr = VecTaggerCreate(comm,&refineTag);CHKERRQ(ierr);
1658*c4762a1bSJed Brown     ierr = PetscObjectSetOptionsPrefix((PetscObject)refineTag,"refine_");CHKERRQ(ierr);
1659*c4762a1bSJed Brown     ierr = VecTaggerSetType(refineTag,VECTAGGERABSOLUTE);CHKERRQ(ierr);
1660*c4762a1bSJed Brown     ierr = VecTaggerAbsoluteSetBox(refineTag,&refineBox);CHKERRQ(ierr);
1661*c4762a1bSJed Brown     ierr = VecTaggerSetFromOptions(refineTag);CHKERRQ(ierr);
1662*c4762a1bSJed Brown     ierr = VecTaggerSetUp(refineTag);CHKERRQ(ierr);
1663*c4762a1bSJed Brown     ierr = PetscObjectViewFromOptions((PetscObject)refineTag,NULL,"-tag_view");CHKERRQ(ierr);
1664*c4762a1bSJed Brown 
1665*c4762a1bSJed Brown     ierr = VecTaggerCreate(comm,&coarsenTag);CHKERRQ(ierr);
1666*c4762a1bSJed Brown     ierr = PetscObjectSetOptionsPrefix((PetscObject)coarsenTag,"coarsen_");CHKERRQ(ierr);
1667*c4762a1bSJed Brown     ierr = VecTaggerSetType(coarsenTag,VECTAGGERABSOLUTE);CHKERRQ(ierr);
1668*c4762a1bSJed Brown     ierr = VecTaggerAbsoluteSetBox(coarsenTag,&coarsenBox);CHKERRQ(ierr);
1669*c4762a1bSJed Brown     ierr = VecTaggerSetFromOptions(coarsenTag);CHKERRQ(ierr);
1670*c4762a1bSJed Brown     ierr = VecTaggerSetUp(coarsenTag);CHKERRQ(ierr);
1671*c4762a1bSJed Brown     ierr = PetscObjectViewFromOptions((PetscObject)coarsenTag,NULL,"-tag_view");CHKERRQ(ierr);
1672*c4762a1bSJed Brown   }
1673*c4762a1bSJed Brown 
1674*c4762a1bSJed Brown   ierr = PetscOptionsBegin(comm,NULL,"Unstructured Finite Volume Physics Options","");CHKERRQ(ierr);
1675*c4762a1bSJed Brown   {
1676*c4762a1bSJed Brown     PetscErrorCode (*physcreate)(Model,Physics,PetscOptionItems*);
1677*c4762a1bSJed Brown     ierr = PetscOptionsFList("-physics","Physics module to solve","",PhysicsList,physname,physname,sizeof physname,NULL);CHKERRQ(ierr);
1678*c4762a1bSJed Brown     ierr = PetscFunctionListFind(PhysicsList,physname,&physcreate);CHKERRQ(ierr);
1679*c4762a1bSJed Brown     ierr = PetscMemzero(phys,sizeof(struct _n_Physics));CHKERRQ(ierr);
1680*c4762a1bSJed Brown     ierr = (*physcreate)(mod,phys,PetscOptionsObject);CHKERRQ(ierr);
1681*c4762a1bSJed Brown     /* Count number of fields and dofs */
1682*c4762a1bSJed Brown     for (phys->nfields=0,phys->dof=0; phys->field_desc[phys->nfields].name; phys->nfields++) phys->dof += phys->field_desc[phys->nfields].dof;
1683*c4762a1bSJed Brown     if (phys->dof <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set dof",physname);
1684*c4762a1bSJed Brown     ierr = ModelFunctionalSetFromOptions(mod,PetscOptionsObject);CHKERRQ(ierr);
1685*c4762a1bSJed Brown   }
1686*c4762a1bSJed Brown   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1687*c4762a1bSJed Brown 
1688*c4762a1bSJed Brown   /* Create mesh */
1689*c4762a1bSJed Brown   {
1690*c4762a1bSJed Brown     size_t len,i;
1691*c4762a1bSJed Brown     for (i = 0; i < DIM; i++) { mod->bounds[2*i] = 0.; mod->bounds[2*i+1] = 1.;};
1692*c4762a1bSJed Brown     ierr = PetscStrlen(filename,&len);CHKERRQ(ierr);
1693*c4762a1bSJed Brown     dim = DIM;
1694*c4762a1bSJed Brown     if (!len) { /* a null name means just do a hex box */
1695*c4762a1bSJed Brown       PetscInt cells[3] = {1, 1, 1}; /* coarse mesh is one cell; refine from there */
1696*c4762a1bSJed Brown       PetscBool flg1, flg2, skew = PETSC_FALSE;
1697*c4762a1bSJed Brown       PetscInt nret1 = DIM;
1698*c4762a1bSJed Brown       PetscInt nret2 = 2*DIM;
1699*c4762a1bSJed Brown       ierr = PetscOptionsBegin(comm,NULL,"Rectangular mesh options","");CHKERRQ(ierr);
1700*c4762a1bSJed Brown       ierr = PetscOptionsIntArray("-grid_size","number of cells in each direction","",cells,&nret1,&flg1);CHKERRQ(ierr);
1701*c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-grid_bounds","bounds of the mesh in each direction (i.e., x_min,x_max,y_min,y_max","",mod->bounds,&nret2,&flg2);CHKERRQ(ierr);
1702*c4762a1bSJed Brown       ierr = PetscOptionsBool("-grid_skew_60","Skew grid for 60 degree shock mesh","",skew,&skew,NULL);CHKERRQ(ierr);
1703*c4762a1bSJed Brown       ierr = PetscOptionsEnd();CHKERRQ(ierr);
1704*c4762a1bSJed Brown       if (flg1) {
1705*c4762a1bSJed Brown         dim = nret1;
1706*c4762a1bSJed Brown         if (dim != DIM) SETERRQ1(comm,PETSC_ERR_ARG_SIZ,"Dim wrong size %D in -grid_size",dim);
1707*c4762a1bSJed Brown       }
1708*c4762a1bSJed Brown       ierr = DMPlexCreateBoxMesh(comm, dim, simplex, cells, NULL, NULL, mod->bcs, PETSC_TRUE, &dm);CHKERRQ(ierr);
1709*c4762a1bSJed Brown       if (flg2) {
1710*c4762a1bSJed Brown         PetscInt dimEmbed, i;
1711*c4762a1bSJed Brown         PetscInt nCoords;
1712*c4762a1bSJed Brown         PetscScalar *coords;
1713*c4762a1bSJed Brown         Vec coordinates;
1714*c4762a1bSJed Brown 
1715*c4762a1bSJed Brown         ierr = DMGetCoordinatesLocal(dm,&coordinates);CHKERRQ(ierr);
1716*c4762a1bSJed Brown         ierr = DMGetCoordinateDim(dm,&dimEmbed);CHKERRQ(ierr);
1717*c4762a1bSJed Brown         ierr = VecGetLocalSize(coordinates,&nCoords);CHKERRQ(ierr);
1718*c4762a1bSJed Brown         if (nCoords % dimEmbed) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Coordinate vector the wrong size");
1719*c4762a1bSJed Brown         ierr = VecGetArray(coordinates,&coords);CHKERRQ(ierr);
1720*c4762a1bSJed Brown         for (i = 0; i < nCoords; i += dimEmbed) {
1721*c4762a1bSJed Brown           PetscInt j;
1722*c4762a1bSJed Brown 
1723*c4762a1bSJed Brown           PetscScalar *coord = &coords[i];
1724*c4762a1bSJed Brown           for (j = 0; j < dimEmbed; j++) {
1725*c4762a1bSJed Brown             coord[j] = mod->bounds[2 * j] + coord[j] * (mod->bounds[2 * j + 1] - mod->bounds[2 * j]);
1726*c4762a1bSJed Brown             if (dim==2 && cells[1]==1 && j==0 && skew) {
1727*c4762a1bSJed Brown               if (cells[0]==2 && i==8) {
1728*c4762a1bSJed Brown                 coord[j] = .57735026918963; /* hack to get 60 deg skewed mesh */
1729*c4762a1bSJed Brown               }
1730*c4762a1bSJed Brown               else if (cells[0]==3) {
1731*c4762a1bSJed Brown                 if(i==2 || i==10) coord[j] = mod->bounds[1]/4.;
1732*c4762a1bSJed Brown                 else if (i==4) coord[j] = mod->bounds[1]/2.;
1733*c4762a1bSJed Brown                 else if (i==12) coord[j] = 1.57735026918963*mod->bounds[1]/2.;
1734*c4762a1bSJed Brown               }
1735*c4762a1bSJed Brown             }
1736*c4762a1bSJed Brown           }
1737*c4762a1bSJed Brown         }
1738*c4762a1bSJed Brown         ierr = VecRestoreArray(coordinates,&coords);CHKERRQ(ierr);
1739*c4762a1bSJed Brown         ierr = DMSetCoordinatesLocal(dm,coordinates);CHKERRQ(ierr);
1740*c4762a1bSJed Brown       }
1741*c4762a1bSJed Brown     } else {
1742*c4762a1bSJed Brown       ierr = DMPlexCreateFromFile(comm, filename, PETSC_TRUE, &dm);CHKERRQ(ierr);
1743*c4762a1bSJed Brown     }
1744*c4762a1bSJed Brown   }
1745*c4762a1bSJed Brown   ierr = DMViewFromOptions(dm, NULL, "-orig_dm_view");CHKERRQ(ierr);
1746*c4762a1bSJed Brown   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1747*c4762a1bSJed Brown 
1748*c4762a1bSJed Brown   /* set up BCs, functions, tags */
1749*c4762a1bSJed Brown   ierr = DMCreateLabel(dm, "Face Sets");CHKERRQ(ierr);
1750*c4762a1bSJed Brown 
1751*c4762a1bSJed Brown   mod->errorIndicator = ErrorIndicator_Simple;
1752*c4762a1bSJed Brown 
1753*c4762a1bSJed Brown   {
1754*c4762a1bSJed Brown     DM dmDist;
1755*c4762a1bSJed Brown 
1756*c4762a1bSJed Brown     ierr = DMSetBasicAdjacency(dm, PETSC_TRUE, PETSC_FALSE);CHKERRQ(ierr);
1757*c4762a1bSJed Brown     ierr = DMPlexDistribute(dm, overlap, NULL, &dmDist);CHKERRQ(ierr);
1758*c4762a1bSJed Brown     if (dmDist) {
1759*c4762a1bSJed Brown       ierr = DMDestroy(&dm);CHKERRQ(ierr);
1760*c4762a1bSJed Brown       dm   = dmDist;
1761*c4762a1bSJed Brown     }
1762*c4762a1bSJed Brown   }
1763*c4762a1bSJed Brown 
1764*c4762a1bSJed Brown   ierr = DMSetFromOptions(dm);CHKERRQ(ierr);
1765*c4762a1bSJed Brown 
1766*c4762a1bSJed Brown   {
1767*c4762a1bSJed Brown     DM gdm;
1768*c4762a1bSJed Brown 
1769*c4762a1bSJed Brown     ierr = DMPlexConstructGhostCells(dm, NULL, NULL, &gdm);CHKERRQ(ierr);
1770*c4762a1bSJed Brown     ierr = DMDestroy(&dm);CHKERRQ(ierr);
1771*c4762a1bSJed Brown     dm   = gdm;
1772*c4762a1bSJed Brown     ierr = DMViewFromOptions(dm, NULL, "-dm_view");CHKERRQ(ierr);
1773*c4762a1bSJed Brown   }
1774*c4762a1bSJed Brown   if (splitFaces) {ierr = ConstructCellBoundary(dm, user);CHKERRQ(ierr);}
1775*c4762a1bSJed Brown   ierr = SplitFaces(&dm, "split faces", user);CHKERRQ(ierr);
1776*c4762a1bSJed Brown 
1777*c4762a1bSJed Brown   ierr = PetscFVCreate(comm, &fvm);CHKERRQ(ierr);
1778*c4762a1bSJed Brown   ierr = PetscFVSetFromOptions(fvm);CHKERRQ(ierr);
1779*c4762a1bSJed Brown   ierr = PetscFVSetNumComponents(fvm, phys->dof);CHKERRQ(ierr);
1780*c4762a1bSJed Brown   ierr = PetscFVSetSpatialDimension(fvm, dim);CHKERRQ(ierr);
1781*c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) fvm,"");CHKERRQ(ierr);
1782*c4762a1bSJed Brown   {
1783*c4762a1bSJed Brown     PetscInt f, dof;
1784*c4762a1bSJed Brown     for (f=0,dof=0; f < phys->nfields; f++) {
1785*c4762a1bSJed Brown       PetscInt newDof = phys->field_desc[f].dof;
1786*c4762a1bSJed Brown 
1787*c4762a1bSJed Brown       if (newDof == 1) {
1788*c4762a1bSJed Brown         ierr = PetscFVSetComponentName(fvm,dof,phys->field_desc[f].name);CHKERRQ(ierr);
1789*c4762a1bSJed Brown       }
1790*c4762a1bSJed Brown       else {
1791*c4762a1bSJed Brown         PetscInt j;
1792*c4762a1bSJed Brown 
1793*c4762a1bSJed Brown         for (j = 0; j < newDof; j++) {
1794*c4762a1bSJed Brown           char     compName[256]  = "Unknown";
1795*c4762a1bSJed Brown 
1796*c4762a1bSJed Brown           ierr = PetscSNPrintf(compName,sizeof(compName),"%s_%d",phys->field_desc[f].name,j);CHKERRQ(ierr);
1797*c4762a1bSJed Brown           ierr = PetscFVSetComponentName(fvm,dof+j,compName);CHKERRQ(ierr);
1798*c4762a1bSJed Brown         }
1799*c4762a1bSJed Brown       }
1800*c4762a1bSJed Brown       dof += newDof;
1801*c4762a1bSJed Brown     }
1802*c4762a1bSJed Brown   }
1803*c4762a1bSJed Brown   /* FV is now structured with one field having all physics as components */
1804*c4762a1bSJed Brown   ierr = DMAddField(dm, NULL, (PetscObject) fvm);CHKERRQ(ierr);
1805*c4762a1bSJed Brown   ierr = DMCreateDS(dm);CHKERRQ(ierr);
1806*c4762a1bSJed Brown   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
1807*c4762a1bSJed Brown   ierr = PetscDSSetRiemannSolver(prob, 0, user->model->physics->riemann);CHKERRQ(ierr);
1808*c4762a1bSJed Brown   ierr = PetscDSSetContext(prob, 0, user->model->physics);CHKERRQ(ierr);
1809*c4762a1bSJed Brown   ierr = (*mod->setupbc)(prob,phys);CHKERRQ(ierr);
1810*c4762a1bSJed Brown   ierr = PetscDSSetFromOptions(prob);CHKERRQ(ierr);
1811*c4762a1bSJed Brown   {
1812*c4762a1bSJed Brown     char      convType[256];
1813*c4762a1bSJed Brown     PetscBool flg;
1814*c4762a1bSJed Brown 
1815*c4762a1bSJed Brown     ierr = PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
1816*c4762a1bSJed Brown     ierr = PetscOptionsFList("-dm_type","Convert DMPlex to another format","ex12",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
1817*c4762a1bSJed Brown     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1818*c4762a1bSJed Brown     if (flg) {
1819*c4762a1bSJed Brown       DM dmConv;
1820*c4762a1bSJed Brown 
1821*c4762a1bSJed Brown       ierr = DMConvert(dm,convType,&dmConv);CHKERRQ(ierr);
1822*c4762a1bSJed Brown       if (dmConv) {
1823*c4762a1bSJed Brown         ierr = DMViewFromOptions(dmConv, NULL, "-dm_conv_view");CHKERRQ(ierr);
1824*c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
1825*c4762a1bSJed Brown         dm   = dmConv;
1826*c4762a1bSJed Brown         ierr = DMSetFromOptions(dm);CHKERRQ(ierr);
1827*c4762a1bSJed Brown       }
1828*c4762a1bSJed Brown     }
1829*c4762a1bSJed Brown   }
1830*c4762a1bSJed Brown 
1831*c4762a1bSJed Brown   ierr = initializeTS(dm, user, &ts);CHKERRQ(ierr);
1832*c4762a1bSJed Brown 
1833*c4762a1bSJed Brown   ierr = DMCreateGlobalVector(dm, &X);CHKERRQ(ierr);
1834*c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) X, "solution");CHKERRQ(ierr);
1835*c4762a1bSJed Brown   ierr = SetInitialCondition(dm, X, user);CHKERRQ(ierr);
1836*c4762a1bSJed Brown   if (useAMR) {
1837*c4762a1bSJed Brown     PetscInt adaptIter;
1838*c4762a1bSJed Brown 
1839*c4762a1bSJed Brown     /* use no limiting when reconstructing gradients for adaptivity */
1840*c4762a1bSJed Brown     ierr = PetscFVGetLimiter(fvm, &limiter);CHKERRQ(ierr);
1841*c4762a1bSJed Brown     ierr = PetscObjectReference((PetscObject) limiter);CHKERRQ(ierr);
1842*c4762a1bSJed Brown     ierr = PetscLimiterCreate(PetscObjectComm((PetscObject) fvm), &noneLimiter);CHKERRQ(ierr);
1843*c4762a1bSJed Brown     ierr = PetscLimiterSetType(noneLimiter, PETSCLIMITERNONE);CHKERRQ(ierr);
1844*c4762a1bSJed Brown 
1845*c4762a1bSJed Brown     ierr = PetscFVSetLimiter(fvm, noneLimiter);CHKERRQ(ierr);
1846*c4762a1bSJed Brown     for (adaptIter = 0; ; ++adaptIter) {
1847*c4762a1bSJed Brown       PetscLogDouble bytes;
1848*c4762a1bSJed Brown       TS             tsNew = NULL;
1849*c4762a1bSJed Brown 
1850*c4762a1bSJed Brown       ierr = PetscMemoryGetCurrentUsage(&bytes);CHKERRQ(ierr);
1851*c4762a1bSJed Brown       ierr = PetscInfo2(ts, "refinement loop %D: memory used %g\n", adaptIter, bytes);CHKERRQ(ierr);
1852*c4762a1bSJed Brown       ierr = DMViewFromOptions(dm, NULL, "-initial_dm_view");CHKERRQ(ierr);
1853*c4762a1bSJed Brown       ierr = VecViewFromOptions(X, NULL, "-initial_vec_view");CHKERRQ(ierr);
1854*c4762a1bSJed Brown #if 0
1855*c4762a1bSJed Brown       if (viewInitial) {
1856*c4762a1bSJed Brown         PetscViewer viewer;
1857*c4762a1bSJed Brown         char        buf[256];
1858*c4762a1bSJed Brown         PetscBool   isHDF5, isVTK;
1859*c4762a1bSJed Brown 
1860*c4762a1bSJed Brown         ierr = PetscViewerCreate(comm,&viewer);CHKERRQ(ierr);
1861*c4762a1bSJed Brown         ierr = PetscViewerSetType(viewer,PETSCVIEWERVTK);CHKERRQ(ierr);
1862*c4762a1bSJed Brown         ierr = PetscViewerSetOptionsPrefix(viewer,"initial_");CHKERRQ(ierr);
1863*c4762a1bSJed Brown         ierr = PetscViewerSetFromOptions(viewer);CHKERRQ(ierr);
1864*c4762a1bSJed Brown         ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERHDF5,&isHDF5);CHKERRQ(ierr);
1865*c4762a1bSJed Brown         ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERVTK,&isVTK);CHKERRQ(ierr);
1866*c4762a1bSJed Brown         if (isHDF5) {
1867*c4762a1bSJed Brown           ierr = PetscSNPrintf(buf, 256, "ex11-initial-%d.h5", adaptIter);CHKERRQ(ierr);
1868*c4762a1bSJed Brown         } else if (isVTK) {
1869*c4762a1bSJed Brown           ierr = PetscSNPrintf(buf, 256, "ex11-initial-%d.vtu", adaptIter);CHKERRQ(ierr);
1870*c4762a1bSJed Brown           ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_VTK_VTU);CHKERRQ(ierr);
1871*c4762a1bSJed Brown         }
1872*c4762a1bSJed Brown         ierr = PetscViewerFileSetMode(viewer,FILE_MODE_WRITE);CHKERRQ(ierr);
1873*c4762a1bSJed Brown         ierr = PetscViewerFileSetName(viewer,buf);CHKERRQ(ierr);
1874*c4762a1bSJed Brown         if (isHDF5) {
1875*c4762a1bSJed Brown           ierr = DMView(dm,viewer);CHKERRQ(ierr);
1876*c4762a1bSJed Brown           ierr = PetscViewerFileSetMode(viewer,FILE_MODE_UPDATE);CHKERRQ(ierr);
1877*c4762a1bSJed Brown         }
1878*c4762a1bSJed Brown         ierr = VecView(X,viewer);CHKERRQ(ierr);
1879*c4762a1bSJed Brown         ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1880*c4762a1bSJed Brown       }
1881*c4762a1bSJed Brown #endif
1882*c4762a1bSJed Brown 
1883*c4762a1bSJed Brown       ierr = adaptToleranceFVM(fvm, ts, X, refineTag, coarsenTag, user, &tsNew, NULL);CHKERRQ(ierr);
1884*c4762a1bSJed Brown       if (!tsNew) {
1885*c4762a1bSJed Brown         break;
1886*c4762a1bSJed Brown       } else {
1887*c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
1888*c4762a1bSJed Brown         ierr = VecDestroy(&X);CHKERRQ(ierr);
1889*c4762a1bSJed Brown         ierr = TSDestroy(&ts);CHKERRQ(ierr);
1890*c4762a1bSJed Brown         ts   = tsNew;
1891*c4762a1bSJed Brown         ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1892*c4762a1bSJed Brown         ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
1893*c4762a1bSJed Brown         ierr = DMCreateGlobalVector(dm,&X);CHKERRQ(ierr);
1894*c4762a1bSJed Brown         ierr = PetscObjectSetName((PetscObject) X, "solution");CHKERRQ(ierr);
1895*c4762a1bSJed Brown         ierr = SetInitialCondition(dm, X, user);CHKERRQ(ierr);
1896*c4762a1bSJed Brown       }
1897*c4762a1bSJed Brown     }
1898*c4762a1bSJed Brown     /* restore original limiter */
1899*c4762a1bSJed Brown     ierr = PetscFVSetLimiter(fvm, limiter);CHKERRQ(ierr);
1900*c4762a1bSJed Brown   }
1901*c4762a1bSJed Brown 
1902*c4762a1bSJed Brown   if (vtkCellGeom) {
1903*c4762a1bSJed Brown     DM  dmCell;
1904*c4762a1bSJed Brown     Vec cellgeom, partition;
1905*c4762a1bSJed Brown 
1906*c4762a1bSJed Brown     ierr = DMPlexTSGetGeometryFVM(dm, NULL, &cellgeom, NULL);CHKERRQ(ierr);
1907*c4762a1bSJed Brown     ierr = OutputVTK(dm, "ex11-cellgeom.vtk", &viewer);CHKERRQ(ierr);
1908*c4762a1bSJed Brown     ierr = VecView(cellgeom, viewer);CHKERRQ(ierr);
1909*c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1910*c4762a1bSJed Brown     ierr = CreatePartitionVec(dm, &dmCell, &partition);CHKERRQ(ierr);
1911*c4762a1bSJed Brown     ierr = OutputVTK(dmCell, "ex11-partition.vtk", &viewer);CHKERRQ(ierr);
1912*c4762a1bSJed Brown     ierr = VecView(partition, viewer);CHKERRQ(ierr);
1913*c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1914*c4762a1bSJed Brown     ierr = VecDestroy(&partition);CHKERRQ(ierr);
1915*c4762a1bSJed Brown     ierr = DMDestroy(&dmCell);CHKERRQ(ierr);
1916*c4762a1bSJed Brown   }
1917*c4762a1bSJed Brown 
1918*c4762a1bSJed Brown   /* collect max maxspeed from all processes -- todo */
1919*c4762a1bSJed Brown   ierr = DMPlexTSGetGeometryFVM(dm, NULL, NULL, &minRadius);CHKERRQ(ierr);
1920*c4762a1bSJed Brown   ierr = MPI_Allreduce(&phys->maxspeed,&mod->maxspeed,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
1921*c4762a1bSJed Brown   if (mod->maxspeed <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set maxspeed",physname);
1922*c4762a1bSJed Brown   dt   = cfl * minRadius / mod->maxspeed;
1923*c4762a1bSJed Brown   ierr = TSSetTimeStep(ts,dt);CHKERRQ(ierr);
1924*c4762a1bSJed Brown   ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
1925*c4762a1bSJed Brown   if (!useAMR) {
1926*c4762a1bSJed Brown     ierr = TSSolve(ts,X);CHKERRQ(ierr);
1927*c4762a1bSJed Brown     ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
1928*c4762a1bSJed Brown     ierr = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
1929*c4762a1bSJed Brown   } else {
1930*c4762a1bSJed Brown     PetscReal finalTime;
1931*c4762a1bSJed Brown     PetscInt  adaptIter;
1932*c4762a1bSJed Brown     TS        tsNew = NULL;
1933*c4762a1bSJed Brown     Vec       solNew = NULL;
1934*c4762a1bSJed Brown 
1935*c4762a1bSJed Brown     ierr   = TSGetMaxTime(ts,&finalTime);CHKERRQ(ierr);
1936*c4762a1bSJed Brown     ierr   = TSSetMaxSteps(ts,adaptInterval);CHKERRQ(ierr);
1937*c4762a1bSJed Brown     ierr   = TSSolve(ts,X);CHKERRQ(ierr);
1938*c4762a1bSJed Brown     ierr   = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
1939*c4762a1bSJed Brown     ierr   = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
1940*c4762a1bSJed Brown     for (adaptIter = 0;ftime < finalTime;adaptIter++) {
1941*c4762a1bSJed Brown       PetscLogDouble bytes;
1942*c4762a1bSJed Brown 
1943*c4762a1bSJed Brown       ierr = PetscMemoryGetCurrentUsage(&bytes);CHKERRQ(ierr);
1944*c4762a1bSJed Brown       ierr = PetscInfo2(ts, "AMR time step loop %D: memory used %g\n", adaptIter, bytes);CHKERRQ(ierr);
1945*c4762a1bSJed Brown       ierr = PetscFVSetLimiter(fvm,noneLimiter);CHKERRQ(ierr);
1946*c4762a1bSJed Brown       ierr = adaptToleranceFVM(fvm,ts,X,refineTag,coarsenTag,user,&tsNew,&solNew);CHKERRQ(ierr);
1947*c4762a1bSJed Brown       ierr = PetscFVSetLimiter(fvm,limiter);CHKERRQ(ierr);
1948*c4762a1bSJed Brown       if (tsNew) {
1949*c4762a1bSJed Brown         ierr = PetscInfo(ts, "AMR used\n");CHKERRQ(ierr);
1950*c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
1951*c4762a1bSJed Brown         ierr = VecDestroy(&X);CHKERRQ(ierr);
1952*c4762a1bSJed Brown         ierr = TSDestroy(&ts);CHKERRQ(ierr);
1953*c4762a1bSJed Brown         ts   = tsNew;
1954*c4762a1bSJed Brown         X    = solNew;
1955*c4762a1bSJed Brown         ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
1956*c4762a1bSJed Brown         ierr = VecGetDM(X,&dm);CHKERRQ(ierr);
1957*c4762a1bSJed Brown         ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
1958*c4762a1bSJed Brown         ierr = DMPlexTSGetGeometryFVM(dm, NULL, NULL, &minRadius);CHKERRQ(ierr);
1959*c4762a1bSJed Brown         ierr = MPI_Allreduce(&phys->maxspeed,&mod->maxspeed,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
1960*c4762a1bSJed Brown         if (mod->maxspeed <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set maxspeed",physname);
1961*c4762a1bSJed Brown         dt   = cfl * minRadius / mod->maxspeed;
1962*c4762a1bSJed Brown         ierr = TSSetStepNumber(ts,nsteps);CHKERRQ(ierr);
1963*c4762a1bSJed Brown         ierr = TSSetTime(ts,ftime);CHKERRQ(ierr);
1964*c4762a1bSJed Brown         ierr = TSSetTimeStep(ts,dt);CHKERRQ(ierr);
1965*c4762a1bSJed Brown       } else {
1966*c4762a1bSJed Brown         ierr = PetscInfo(ts, "AMR not used\n");CHKERRQ(ierr);
1967*c4762a1bSJed Brown       }
1968*c4762a1bSJed Brown       user->monitorStepOffset = nsteps;
1969*c4762a1bSJed Brown       ierr = TSSetMaxSteps(ts,nsteps+adaptInterval);CHKERRQ(ierr);
1970*c4762a1bSJed Brown       ierr = TSSolve(ts,X);CHKERRQ(ierr);
1971*c4762a1bSJed Brown       ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
1972*c4762a1bSJed Brown       ierr = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
1973*c4762a1bSJed Brown     }
1974*c4762a1bSJed Brown   }
1975*c4762a1bSJed Brown   ierr = TSGetConvergedReason(ts,&reason);CHKERRQ(ierr);
1976*c4762a1bSJed Brown   ierr = PetscPrintf(PETSC_COMM_WORLD,"%s at time %g after %D steps\n",TSConvergedReasons[reason],(double)ftime,nsteps);CHKERRQ(ierr);
1977*c4762a1bSJed Brown   ierr = TSDestroy(&ts);CHKERRQ(ierr);
1978*c4762a1bSJed Brown 
1979*c4762a1bSJed Brown   ierr = VecTaggerDestroy(&refineTag);CHKERRQ(ierr);
1980*c4762a1bSJed Brown   ierr = VecTaggerDestroy(&coarsenTag);CHKERRQ(ierr);
1981*c4762a1bSJed Brown   ierr = PetscFunctionListDestroy(&PhysicsList);CHKERRQ(ierr);
1982*c4762a1bSJed Brown   ierr = FunctionalLinkDestroy(&user->model->functionalRegistry);CHKERRQ(ierr);
1983*c4762a1bSJed Brown   ierr = PetscFree(user->model->functionalMonitored);CHKERRQ(ierr);
1984*c4762a1bSJed Brown   ierr = PetscFree(user->model->functionalCall);CHKERRQ(ierr);
1985*c4762a1bSJed Brown   ierr = PetscFree(user->model->physics->data);CHKERRQ(ierr);
1986*c4762a1bSJed Brown   ierr = PetscFree(user->model->physics);CHKERRQ(ierr);
1987*c4762a1bSJed Brown   ierr = PetscFree(user->model);CHKERRQ(ierr);
1988*c4762a1bSJed Brown   ierr = PetscFree(user);CHKERRQ(ierr);
1989*c4762a1bSJed Brown   ierr = VecDestroy(&X);CHKERRQ(ierr);
1990*c4762a1bSJed Brown   ierr = PetscLimiterDestroy(&limiter);CHKERRQ(ierr);
1991*c4762a1bSJed Brown   ierr = PetscLimiterDestroy(&noneLimiter);CHKERRQ(ierr);
1992*c4762a1bSJed Brown   ierr = PetscFVDestroy(&fvm);CHKERRQ(ierr);
1993*c4762a1bSJed Brown   ierr = DMDestroy(&dm);CHKERRQ(ierr);
1994*c4762a1bSJed Brown   ierr = PetscFinalize();
1995*c4762a1bSJed Brown   return ierr;
1996*c4762a1bSJed Brown }
1997*c4762a1bSJed Brown 
1998*c4762a1bSJed Brown /* Godunov fluxs */
1999*c4762a1bSJed Brown PetscScalar cvmgp_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
2000*c4762a1bSJed Brown {
2001*c4762a1bSJed Brown     /* System generated locals */
2002*c4762a1bSJed Brown     PetscScalar ret_val;
2003*c4762a1bSJed Brown 
2004*c4762a1bSJed Brown     if (PetscRealPart(*test) > 0.) {
2005*c4762a1bSJed Brown 	goto L10;
2006*c4762a1bSJed Brown     }
2007*c4762a1bSJed Brown     ret_val = *b;
2008*c4762a1bSJed Brown     return ret_val;
2009*c4762a1bSJed Brown L10:
2010*c4762a1bSJed Brown     ret_val = *a;
2011*c4762a1bSJed Brown     return ret_val;
2012*c4762a1bSJed Brown } /* cvmgp_ */
2013*c4762a1bSJed Brown 
2014*c4762a1bSJed Brown PetscScalar cvmgm_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
2015*c4762a1bSJed Brown {
2016*c4762a1bSJed Brown     /* System generated locals */
2017*c4762a1bSJed Brown     PetscScalar ret_val;
2018*c4762a1bSJed Brown 
2019*c4762a1bSJed Brown     if (PetscRealPart(*test) < 0.) {
2020*c4762a1bSJed Brown 	goto L10;
2021*c4762a1bSJed Brown     }
2022*c4762a1bSJed Brown     ret_val = *b;
2023*c4762a1bSJed Brown     return ret_val;
2024*c4762a1bSJed Brown L10:
2025*c4762a1bSJed Brown     ret_val = *a;
2026*c4762a1bSJed Brown     return ret_val;
2027*c4762a1bSJed Brown } /* cvmgm_ */
2028*c4762a1bSJed Brown 
2029*c4762a1bSJed Brown int riem1mdt( PetscScalar *gaml, PetscScalar *gamr, PetscScalar *rl, PetscScalar *pl,
2030*c4762a1bSJed Brown               PetscScalar *uxl, PetscScalar *rr, PetscScalar *pr,
2031*c4762a1bSJed Brown               PetscScalar *uxr, PetscScalar *rstarl, PetscScalar *rstarr, PetscScalar *
2032*c4762a1bSJed Brown               pstar, PetscScalar *ustar)
2033*c4762a1bSJed Brown {
2034*c4762a1bSJed Brown     /* Initialized data */
2035*c4762a1bSJed Brown 
2036*c4762a1bSJed Brown     static PetscScalar smallp = 1e-8;
2037*c4762a1bSJed Brown 
2038*c4762a1bSJed Brown     /* System generated locals */
2039*c4762a1bSJed Brown     int i__1;
2040*c4762a1bSJed Brown     PetscScalar d__1, d__2;
2041*c4762a1bSJed Brown 
2042*c4762a1bSJed Brown     /* Local variables */
2043*c4762a1bSJed Brown     static int i0;
2044*c4762a1bSJed Brown     static PetscScalar cl, cr, wl, zl, wr, zr, pst, durl, skpr1, skpr2;
2045*c4762a1bSJed Brown     static int iwave;
2046*c4762a1bSJed Brown     static PetscScalar gascl4, gascr4, cstarl, dpstar, cstarr;
2047*c4762a1bSJed Brown     /* static PetscScalar csqrl, csqrr, gascl1, gascl2, gascl3, gascr1, gascr2, gascr3; */
2048*c4762a1bSJed Brown     static int iterno;
2049*c4762a1bSJed Brown     static PetscScalar ustarl, ustarr, rarepr1, rarepr2;
2050*c4762a1bSJed Brown 
2051*c4762a1bSJed Brown 
2052*c4762a1bSJed Brown 
2053*c4762a1bSJed Brown     /* gascl1 = *gaml - 1.; */
2054*c4762a1bSJed Brown     /* gascl2 = (*gaml + 1.) * .5; */
2055*c4762a1bSJed Brown     /* gascl3 = gascl2 / *gaml; */
2056*c4762a1bSJed Brown     gascl4 = 1. / (*gaml - 1.);
2057*c4762a1bSJed Brown 
2058*c4762a1bSJed Brown     /* gascr1 = *gamr - 1.; */
2059*c4762a1bSJed Brown     /* gascr2 = (*gamr + 1.) * .5; */
2060*c4762a1bSJed Brown     /* gascr3 = gascr2 / *gamr; */
2061*c4762a1bSJed Brown     gascr4 = 1. / (*gamr - 1.);
2062*c4762a1bSJed Brown     iterno = 10;
2063*c4762a1bSJed Brown /*        find pstar: */
2064*c4762a1bSJed Brown     cl = PetscSqrtScalar(*gaml * *pl / *rl);
2065*c4762a1bSJed Brown     cr = PetscSqrtScalar(*gamr * *pr / *rr);
2066*c4762a1bSJed Brown     wl = *rl * cl;
2067*c4762a1bSJed Brown     wr = *rr * cr;
2068*c4762a1bSJed Brown     /* csqrl = wl * wl; */
2069*c4762a1bSJed Brown     /* csqrr = wr * wr; */
2070*c4762a1bSJed Brown     *pstar = (wl * *pr + wr * *pl) / (wl + wr);
2071*c4762a1bSJed Brown     *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2072*c4762a1bSJed Brown     pst = *pl / *pr;
2073*c4762a1bSJed Brown     skpr1 = cr * (pst - 1.) * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2074*c4762a1bSJed Brown     d__1 = (*gamr - 1.) / (*gamr * 2.);
2075*c4762a1bSJed Brown     rarepr2 = gascr4 * 2. * cr * (1. - PetscPowScalar(pst, d__1));
2076*c4762a1bSJed Brown     pst = *pr / *pl;
2077*c4762a1bSJed Brown     skpr2 = cl * (pst - 1.) * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2078*c4762a1bSJed Brown     d__1 = (*gaml - 1.) / (*gaml * 2.);
2079*c4762a1bSJed Brown     rarepr1 = gascl4 * 2. * cl * (1. - PetscPowScalar(pst, d__1));
2080*c4762a1bSJed Brown     durl = *uxr - *uxl;
2081*c4762a1bSJed Brown     if (PetscRealPart(*pr) < PetscRealPart(*pl)) {
2082*c4762a1bSJed Brown 	if (PetscRealPart(durl) >= PetscRealPart(rarepr1)) {
2083*c4762a1bSJed Brown 	    iwave = 100;
2084*c4762a1bSJed Brown 	} else if (PetscRealPart(durl) <= PetscRealPart(-skpr1)) {
2085*c4762a1bSJed Brown 	    iwave = 300;
2086*c4762a1bSJed Brown 	} else {
2087*c4762a1bSJed Brown 	    iwave = 400;
2088*c4762a1bSJed Brown 	}
2089*c4762a1bSJed Brown     } else {
2090*c4762a1bSJed Brown 	if (PetscRealPart(durl) >= PetscRealPart(rarepr2)) {
2091*c4762a1bSJed Brown 	    iwave = 100;
2092*c4762a1bSJed Brown 	} else if (PetscRealPart(durl) <= PetscRealPart(-skpr2)) {
2093*c4762a1bSJed Brown 	    iwave = 300;
2094*c4762a1bSJed Brown 	} else {
2095*c4762a1bSJed Brown 	    iwave = 200;
2096*c4762a1bSJed Brown 	}
2097*c4762a1bSJed Brown     }
2098*c4762a1bSJed Brown     if (iwave == 100) {
2099*c4762a1bSJed Brown /*     1-wave: rarefaction wave, 3-wave: rarefaction wave */
2100*c4762a1bSJed Brown /*     case (100) */
2101*c4762a1bSJed Brown 	i__1 = iterno;
2102*c4762a1bSJed Brown 	for (i0 = 1; i0 <= i__1; ++i0) {
2103*c4762a1bSJed Brown 	    d__1 = *pstar / *pl;
2104*c4762a1bSJed Brown 	    d__2 = 1. / *gaml;
2105*c4762a1bSJed Brown 	    *rstarl = *rl * PetscPowScalar(d__1, d__2);
2106*c4762a1bSJed Brown 	    cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
2107*c4762a1bSJed Brown 	    ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
2108*c4762a1bSJed Brown 	    zl = *rstarl * cstarl;
2109*c4762a1bSJed Brown 	    d__1 = *pstar / *pr;
2110*c4762a1bSJed Brown 	    d__2 = 1. / *gamr;
2111*c4762a1bSJed Brown 	    *rstarr = *rr * PetscPowScalar(d__1, d__2);
2112*c4762a1bSJed Brown 	    cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
2113*c4762a1bSJed Brown 	    ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
2114*c4762a1bSJed Brown 	    zr = *rstarr * cstarr;
2115*c4762a1bSJed Brown 	    dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2116*c4762a1bSJed Brown 	    *pstar -= dpstar;
2117*c4762a1bSJed Brown 	    *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2118*c4762a1bSJed Brown 	    if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2119*c4762a1bSJed Brown #if 0
2120*c4762a1bSJed Brown         break;
2121*c4762a1bSJed Brown #endif
2122*c4762a1bSJed Brown 	    }
2123*c4762a1bSJed Brown 	}
2124*c4762a1bSJed Brown /*     1-wave: shock wave, 3-wave: rarefaction wave */
2125*c4762a1bSJed Brown     } else if (iwave == 200) {
2126*c4762a1bSJed Brown /*     case (200) */
2127*c4762a1bSJed Brown 	i__1 = iterno;
2128*c4762a1bSJed Brown 	for (i0 = 1; i0 <= i__1; ++i0) {
2129*c4762a1bSJed Brown 	    pst = *pstar / *pl;
2130*c4762a1bSJed Brown 	    ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2131*c4762a1bSJed Brown 	    zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
2132*c4762a1bSJed Brown 	    d__1 = *pstar / *pr;
2133*c4762a1bSJed Brown 	    d__2 = 1. / *gamr;
2134*c4762a1bSJed Brown 	    *rstarr = *rr * PetscPowScalar(d__1, d__2);
2135*c4762a1bSJed Brown 	    cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
2136*c4762a1bSJed Brown 	    zr = *rstarr * cstarr;
2137*c4762a1bSJed Brown 	    ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
2138*c4762a1bSJed Brown 	    dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2139*c4762a1bSJed Brown 	    *pstar -= dpstar;
2140*c4762a1bSJed Brown 	    *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2141*c4762a1bSJed Brown 	    if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2142*c4762a1bSJed Brown #if 0
2143*c4762a1bSJed Brown         break;
2144*c4762a1bSJed Brown #endif
2145*c4762a1bSJed Brown 	    }
2146*c4762a1bSJed Brown 	}
2147*c4762a1bSJed Brown /*     1-wave: shock wave, 3-wave: shock */
2148*c4762a1bSJed Brown     } else if (iwave == 300) {
2149*c4762a1bSJed Brown /*     case (300) */
2150*c4762a1bSJed Brown 	i__1 = iterno;
2151*c4762a1bSJed Brown 	for (i0 = 1; i0 <= i__1; ++i0) {
2152*c4762a1bSJed Brown 	    pst = *pstar / *pl;
2153*c4762a1bSJed Brown 	    ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2154*c4762a1bSJed Brown 	    zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
2155*c4762a1bSJed Brown 	    pst = *pstar / *pr;
2156*c4762a1bSJed Brown 	    ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2157*c4762a1bSJed Brown 	    zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
2158*c4762a1bSJed Brown 	    dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2159*c4762a1bSJed Brown 	    *pstar -= dpstar;
2160*c4762a1bSJed Brown 	    *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2161*c4762a1bSJed Brown 	    if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2162*c4762a1bSJed Brown #if 0
2163*c4762a1bSJed Brown         break;
2164*c4762a1bSJed Brown #endif
2165*c4762a1bSJed Brown 	    }
2166*c4762a1bSJed Brown 	}
2167*c4762a1bSJed Brown /*     1-wave: rarefaction wave, 3-wave: shock */
2168*c4762a1bSJed Brown     } else if (iwave == 400) {
2169*c4762a1bSJed Brown /*     case (400) */
2170*c4762a1bSJed Brown 	i__1 = iterno;
2171*c4762a1bSJed Brown 	for (i0 = 1; i0 <= i__1; ++i0) {
2172*c4762a1bSJed Brown 	    d__1 = *pstar / *pl;
2173*c4762a1bSJed Brown 	    d__2 = 1. / *gaml;
2174*c4762a1bSJed Brown 	    *rstarl = *rl * PetscPowScalar(d__1, d__2);
2175*c4762a1bSJed Brown 	    cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
2176*c4762a1bSJed Brown 	    ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
2177*c4762a1bSJed Brown 	    zl = *rstarl * cstarl;
2178*c4762a1bSJed Brown 	    pst = *pstar / *pr;
2179*c4762a1bSJed Brown 	    ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2180*c4762a1bSJed Brown 	    zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
2181*c4762a1bSJed Brown 	    dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2182*c4762a1bSJed Brown 	    *pstar -= dpstar;
2183*c4762a1bSJed Brown 	    *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2184*c4762a1bSJed Brown 	    if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2185*c4762a1bSJed Brown #if 0
2186*c4762a1bSJed Brown 	      break;
2187*c4762a1bSJed Brown #endif
2188*c4762a1bSJed Brown 	    }
2189*c4762a1bSJed Brown 	}
2190*c4762a1bSJed Brown     }
2191*c4762a1bSJed Brown 
2192*c4762a1bSJed Brown     *ustar = (zl * ustarr + zr * ustarl) / (zl + zr);
2193*c4762a1bSJed Brown     if (PetscRealPart(*pstar) > PetscRealPart(*pl)) {
2194*c4762a1bSJed Brown 	pst = *pstar / *pl;
2195*c4762a1bSJed Brown 	*rstarl = ((*gaml + 1.) * pst + *gaml - 1.) / ((*gaml - 1.) * pst + *
2196*c4762a1bSJed Brown 		gaml + 1.) * *rl;
2197*c4762a1bSJed Brown     }
2198*c4762a1bSJed Brown     if (PetscRealPart(*pstar) > PetscRealPart(*pr)) {
2199*c4762a1bSJed Brown 	pst = *pstar / *pr;
2200*c4762a1bSJed Brown 	*rstarr = ((*gamr + 1.) * pst + *gamr - 1.) / ((*gamr - 1.) * pst + *
2201*c4762a1bSJed Brown 		gamr + 1.) * *rr;
2202*c4762a1bSJed Brown     }
2203*c4762a1bSJed Brown     return iwave;
2204*c4762a1bSJed Brown }
2205*c4762a1bSJed Brown 
2206*c4762a1bSJed Brown PetscScalar sign(PetscScalar x)
2207*c4762a1bSJed Brown {
2208*c4762a1bSJed Brown     if(PetscRealPart(x) > 0) return 1.0;
2209*c4762a1bSJed Brown     if(PetscRealPart(x) < 0) return -1.0;
2210*c4762a1bSJed Brown     return 0.0;
2211*c4762a1bSJed Brown }
2212*c4762a1bSJed Brown /*        Riemann Solver */
2213*c4762a1bSJed Brown /* -------------------------------------------------------------------- */
2214*c4762a1bSJed Brown int riemannsolver(PetscScalar *xcen, PetscScalar *xp,
2215*c4762a1bSJed Brown                    PetscScalar *dtt, PetscScalar *rl, PetscScalar *uxl, PetscScalar *pl,
2216*c4762a1bSJed Brown                    PetscScalar *utl, PetscScalar *ubl, PetscScalar *gaml, PetscScalar *rho1l,
2217*c4762a1bSJed Brown                    PetscScalar *rr, PetscScalar *uxr, PetscScalar *pr, PetscScalar *utr,
2218*c4762a1bSJed Brown                    PetscScalar *ubr, PetscScalar *gamr, PetscScalar *rho1r, PetscScalar *rx,
2219*c4762a1bSJed Brown                    PetscScalar *uxm, PetscScalar *px, PetscScalar *utx, PetscScalar *ubx,
2220*c4762a1bSJed Brown                    PetscScalar *gam, PetscScalar *rho1)
2221*c4762a1bSJed Brown {
2222*c4762a1bSJed Brown     /* System generated locals */
2223*c4762a1bSJed Brown     PetscScalar d__1, d__2;
2224*c4762a1bSJed Brown 
2225*c4762a1bSJed Brown     /* Local variables */
2226*c4762a1bSJed Brown     static PetscScalar s, c0, p0, r0, u0, w0, x0, x2, ri, cx, sgn0, wsp0, gasc1, gasc2, gasc3, gasc4;
2227*c4762a1bSJed Brown     static PetscScalar cstar, pstar, rstar, ustar, xstar, wspst, ushock, streng, rstarl, rstarr, rstars;
2228*c4762a1bSJed Brown     int iwave;
2229*c4762a1bSJed Brown 
2230*c4762a1bSJed Brown     if (*rl == *rr && *pr == *pl && *uxl == *uxr && *gaml == *gamr) {
2231*c4762a1bSJed Brown 	*rx = *rl;
2232*c4762a1bSJed Brown 	*px = *pl;
2233*c4762a1bSJed Brown 	*uxm = *uxl;
2234*c4762a1bSJed Brown 	*gam = *gaml;
2235*c4762a1bSJed Brown 	x2 = *xcen + *uxm * *dtt;
2236*c4762a1bSJed Brown 
2237*c4762a1bSJed Brown 	if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
2238*c4762a1bSJed Brown 	    *utx = *utr;
2239*c4762a1bSJed Brown 	    *ubx = *ubr;
2240*c4762a1bSJed Brown 	    *rho1 = *rho1r;
2241*c4762a1bSJed Brown 	} else {
2242*c4762a1bSJed Brown 	    *utx = *utl;
2243*c4762a1bSJed Brown 	    *ubx = *ubl;
2244*c4762a1bSJed Brown 	    *rho1 = *rho1l;
2245*c4762a1bSJed Brown 	}
2246*c4762a1bSJed Brown 	return 0;
2247*c4762a1bSJed Brown     }
2248*c4762a1bSJed Brown     iwave = riem1mdt(gaml, gamr, rl, pl, uxl, rr, pr, uxr, &rstarl, &rstarr, &pstar, &ustar);
2249*c4762a1bSJed Brown 
2250*c4762a1bSJed Brown     x2 = *xcen + ustar * *dtt;
2251*c4762a1bSJed Brown     d__1 = *xp - x2;
2252*c4762a1bSJed Brown     sgn0 = sign(d__1);
2253*c4762a1bSJed Brown /*            x is in 3-wave if sgn0 = 1 */
2254*c4762a1bSJed Brown /*            x is in 1-wave if sgn0 = -1 */
2255*c4762a1bSJed Brown     r0 = cvmgm_(rl, rr, &sgn0);
2256*c4762a1bSJed Brown     p0 = cvmgm_(pl, pr, &sgn0);
2257*c4762a1bSJed Brown     u0 = cvmgm_(uxl, uxr, &sgn0);
2258*c4762a1bSJed Brown     *gam = cvmgm_(gaml, gamr, &sgn0);
2259*c4762a1bSJed Brown     gasc1 = *gam - 1.;
2260*c4762a1bSJed Brown     gasc2 = (*gam + 1.) * .5;
2261*c4762a1bSJed Brown     gasc3 = gasc2 / *gam;
2262*c4762a1bSJed Brown     gasc4 = 1. / (*gam - 1.);
2263*c4762a1bSJed Brown     c0 = PetscSqrtScalar(*gam * p0 / r0);
2264*c4762a1bSJed Brown     streng = pstar - p0;
2265*c4762a1bSJed Brown     w0 = *gam * r0 * p0 * (gasc3 * streng / p0 + 1.);
2266*c4762a1bSJed Brown     rstars = r0 / (1. - r0 * streng / w0);
2267*c4762a1bSJed Brown     d__1 = p0 / pstar;
2268*c4762a1bSJed Brown     d__2 = -1. / *gam;
2269*c4762a1bSJed Brown     rstarr = r0 * PetscPowScalar(d__1, d__2);
2270*c4762a1bSJed Brown     rstar = cvmgm_(&rstarr, &rstars, &streng);
2271*c4762a1bSJed Brown     w0 = PetscSqrtScalar(w0);
2272*c4762a1bSJed Brown     cstar = PetscSqrtScalar(*gam * pstar / rstar);
2273*c4762a1bSJed Brown     wsp0 = u0 + sgn0 * c0;
2274*c4762a1bSJed Brown     wspst = ustar + sgn0 * cstar;
2275*c4762a1bSJed Brown     ushock = ustar + sgn0 * w0 / rstar;
2276*c4762a1bSJed Brown     wspst = cvmgp_(&ushock, &wspst, &streng);
2277*c4762a1bSJed Brown     wsp0 = cvmgp_(&ushock, &wsp0, &streng);
2278*c4762a1bSJed Brown     x0 = *xcen + wsp0 * *dtt;
2279*c4762a1bSJed Brown     xstar = *xcen + wspst * *dtt;
2280*c4762a1bSJed Brown /*           using gas formula to evaluate rarefaction wave */
2281*c4762a1bSJed Brown /*            ri : reiman invariant */
2282*c4762a1bSJed Brown     ri = u0 - sgn0 * 2. * gasc4 * c0;
2283*c4762a1bSJed Brown     cx = sgn0 * .5 * gasc1 / gasc2 * ((*xp - *xcen) / *dtt - ri);
2284*c4762a1bSJed Brown     *uxm = ri + sgn0 * 2. * gasc4 * cx;
2285*c4762a1bSJed Brown     s = p0 / PetscPowScalar(r0, *gam);
2286*c4762a1bSJed Brown     d__1 = cx * cx / (*gam * s);
2287*c4762a1bSJed Brown     *rx = PetscPowScalar(d__1, gasc4);
2288*c4762a1bSJed Brown     *px = cx * cx * *rx / *gam;
2289*c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2290*c4762a1bSJed Brown     *rx = cvmgp_(rx, &r0, &d__1);
2291*c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2292*c4762a1bSJed Brown     *px = cvmgp_(px, &p0, &d__1);
2293*c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2294*c4762a1bSJed Brown     *uxm = cvmgp_(uxm, &u0, &d__1);
2295*c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2296*c4762a1bSJed Brown     *rx = cvmgm_(rx, &rstar, &d__1);
2297*c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2298*c4762a1bSJed Brown     *px = cvmgm_(px, &pstar, &d__1);
2299*c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2300*c4762a1bSJed Brown     *uxm = cvmgm_(uxm, &ustar, &d__1);
2301*c4762a1bSJed Brown     if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
2302*c4762a1bSJed Brown 	*utx = *utr;
2303*c4762a1bSJed Brown 	*ubx = *ubr;
2304*c4762a1bSJed Brown 	*rho1 = *rho1r;
2305*c4762a1bSJed Brown     } else {
2306*c4762a1bSJed Brown 	*utx = *utl;
2307*c4762a1bSJed Brown 	*ubx = *ubl;
2308*c4762a1bSJed Brown 	*rho1 = *rho1l;
2309*c4762a1bSJed Brown     }
2310*c4762a1bSJed Brown     return iwave;
2311*c4762a1bSJed Brown }
2312*c4762a1bSJed Brown int godunovflux( const PetscScalar *ul, const PetscScalar *ur,
2313*c4762a1bSJed Brown                  PetscScalar *flux, const PetscReal *nn, const int *ndim,
2314*c4762a1bSJed Brown                  const PetscReal *gamma)
2315*c4762a1bSJed Brown {
2316*c4762a1bSJed Brown     /* System generated locals */
2317*c4762a1bSJed Brown   int i__1,iwave;
2318*c4762a1bSJed Brown     PetscScalar d__1, d__2, d__3;
2319*c4762a1bSJed Brown 
2320*c4762a1bSJed Brown     /* Local variables */
2321*c4762a1bSJed Brown     static int k;
2322*c4762a1bSJed Brown     static PetscScalar bn[3], fn, ft, tg[3], pl, rl, pm, pr, rr, xp, ubl, ubm,
2323*c4762a1bSJed Brown 	    ubr, dtt, unm, tmp, utl, utm, uxl, utr, uxr, gaml, gamm, gamr,
2324*c4762a1bSJed Brown 	    xcen, rhom, rho1l, rho1m, rho1r;
2325*c4762a1bSJed Brown     /* Parameter adjustments */
2326*c4762a1bSJed Brown     --nn;
2327*c4762a1bSJed Brown     --flux;
2328*c4762a1bSJed Brown     --ur;
2329*c4762a1bSJed Brown     --ul;
2330*c4762a1bSJed Brown 
2331*c4762a1bSJed Brown     /* Function Body */
2332*c4762a1bSJed Brown     xcen = 0.;
2333*c4762a1bSJed Brown     xp = 0.;
2334*c4762a1bSJed Brown     i__1 = *ndim;
2335*c4762a1bSJed Brown     for (k = 1; k <= i__1; ++k) {
2336*c4762a1bSJed Brown 	tg[k - 1] = 0.;
2337*c4762a1bSJed Brown 	bn[k - 1] = 0.;
2338*c4762a1bSJed Brown     }
2339*c4762a1bSJed Brown     dtt = 1.;
2340*c4762a1bSJed Brown     if (*ndim == 3) {
2341*c4762a1bSJed Brown 	if (nn[1] == 0. && nn[2] == 0.) {
2342*c4762a1bSJed Brown 	    tg[0] = 1.;
2343*c4762a1bSJed Brown 	} else {
2344*c4762a1bSJed Brown 	    tg[0] = -nn[2];
2345*c4762a1bSJed Brown 	    tg[1] = nn[1];
2346*c4762a1bSJed Brown 	}
2347*c4762a1bSJed Brown /*           tmp=dsqrt(tg(1)**2+tg(2)**2) */
2348*c4762a1bSJed Brown /*           tg=tg/tmp */
2349*c4762a1bSJed Brown 	bn[0] = -nn[3] * tg[1];
2350*c4762a1bSJed Brown 	bn[1] = nn[3] * tg[0];
2351*c4762a1bSJed Brown 	bn[2] = nn[1] * tg[1] - nn[2] * tg[0];
2352*c4762a1bSJed Brown /* Computing 2nd power */
2353*c4762a1bSJed Brown 	d__1 = bn[0];
2354*c4762a1bSJed Brown /* Computing 2nd power */
2355*c4762a1bSJed Brown 	d__2 = bn[1];
2356*c4762a1bSJed Brown /* Computing 2nd power */
2357*c4762a1bSJed Brown 	d__3 = bn[2];
2358*c4762a1bSJed Brown 	tmp = PetscSqrtScalar(d__1 * d__1 + d__2 * d__2 + d__3 * d__3);
2359*c4762a1bSJed Brown 	i__1 = *ndim;
2360*c4762a1bSJed Brown 	for (k = 1; k <= i__1; ++k) {
2361*c4762a1bSJed Brown 	    bn[k - 1] /= tmp;
2362*c4762a1bSJed Brown 	}
2363*c4762a1bSJed Brown     } else if (*ndim == 2) {
2364*c4762a1bSJed Brown 	tg[0] = -nn[2];
2365*c4762a1bSJed Brown 	tg[1] = nn[1];
2366*c4762a1bSJed Brown /*           tmp=dsqrt(tg(1)**2+tg(2)**2) */
2367*c4762a1bSJed Brown /*           tg=tg/tmp */
2368*c4762a1bSJed Brown 	bn[0] = 0.;
2369*c4762a1bSJed Brown 	bn[1] = 0.;
2370*c4762a1bSJed Brown 	bn[2] = 1.;
2371*c4762a1bSJed Brown     }
2372*c4762a1bSJed Brown     rl = ul[1];
2373*c4762a1bSJed Brown     rr = ur[1];
2374*c4762a1bSJed Brown     uxl = 0.;
2375*c4762a1bSJed Brown     uxr = 0.;
2376*c4762a1bSJed Brown     utl = 0.;
2377*c4762a1bSJed Brown     utr = 0.;
2378*c4762a1bSJed Brown     ubl = 0.;
2379*c4762a1bSJed Brown     ubr = 0.;
2380*c4762a1bSJed Brown     i__1 = *ndim;
2381*c4762a1bSJed Brown     for (k = 1; k <= i__1; ++k) {
2382*c4762a1bSJed Brown 	uxl += ul[k + 1] * nn[k];
2383*c4762a1bSJed Brown 	uxr += ur[k + 1] * nn[k];
2384*c4762a1bSJed Brown 	utl += ul[k + 1] * tg[k - 1];
2385*c4762a1bSJed Brown 	utr += ur[k + 1] * tg[k - 1];
2386*c4762a1bSJed Brown 	ubl += ul[k + 1] * bn[k - 1];
2387*c4762a1bSJed Brown 	ubr += ur[k + 1] * bn[k - 1];
2388*c4762a1bSJed Brown     }
2389*c4762a1bSJed Brown     uxl /= rl;
2390*c4762a1bSJed Brown     uxr /= rr;
2391*c4762a1bSJed Brown     utl /= rl;
2392*c4762a1bSJed Brown     utr /= rr;
2393*c4762a1bSJed Brown     ubl /= rl;
2394*c4762a1bSJed Brown     ubr /= rr;
2395*c4762a1bSJed Brown 
2396*c4762a1bSJed Brown     gaml = *gamma;
2397*c4762a1bSJed Brown     gamr = *gamma;
2398*c4762a1bSJed Brown /* Computing 2nd power */
2399*c4762a1bSJed Brown     d__1 = uxl;
2400*c4762a1bSJed Brown /* Computing 2nd power */
2401*c4762a1bSJed Brown     d__2 = utl;
2402*c4762a1bSJed Brown /* Computing 2nd power */
2403*c4762a1bSJed Brown     d__3 = ubl;
2404*c4762a1bSJed Brown     pl = (*gamma - 1.) * (ul[*ndim + 2] - rl * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2405*c4762a1bSJed Brown /* Computing 2nd power */
2406*c4762a1bSJed Brown     d__1 = uxr;
2407*c4762a1bSJed Brown /* Computing 2nd power */
2408*c4762a1bSJed Brown     d__2 = utr;
2409*c4762a1bSJed Brown /* Computing 2nd power */
2410*c4762a1bSJed Brown     d__3 = ubr;
2411*c4762a1bSJed Brown     pr = (*gamma - 1.) * (ur[*ndim + 2] - rr * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2412*c4762a1bSJed Brown     rho1l = rl;
2413*c4762a1bSJed Brown     rho1r = rr;
2414*c4762a1bSJed Brown 
2415*c4762a1bSJed Brown     iwave = riemannsolver(&xcen, &xp, &dtt, &rl, &uxl, &pl, &utl, &ubl, &gaml, &
2416*c4762a1bSJed Brown                           rho1l, &rr, &uxr, &pr, &utr, &ubr, &gamr, &rho1r, &rhom, &unm, &
2417*c4762a1bSJed Brown                           pm, &utm, &ubm, &gamm, &rho1m);
2418*c4762a1bSJed Brown 
2419*c4762a1bSJed Brown     flux[1] = rhom * unm;
2420*c4762a1bSJed Brown     fn = rhom * unm * unm + pm;
2421*c4762a1bSJed Brown     ft = rhom * unm * utm;
2422*c4762a1bSJed Brown /*           flux(2)=fn*nn(1)+ft*nn(2) */
2423*c4762a1bSJed Brown /*           flux(3)=fn*tg(1)+ft*tg(2) */
2424*c4762a1bSJed Brown     flux[2] = fn * nn[1] + ft * tg[0];
2425*c4762a1bSJed Brown     flux[3] = fn * nn[2] + ft * tg[1];
2426*c4762a1bSJed Brown /*           flux(2)=rhom*unm*(unm)+pm */
2427*c4762a1bSJed Brown /*           flux(3)=rhom*(unm)*utm */
2428*c4762a1bSJed Brown     if (*ndim == 3) {
2429*c4762a1bSJed Brown 	flux[4] = rhom * unm * ubm;
2430*c4762a1bSJed Brown     }
2431*c4762a1bSJed Brown     flux[*ndim + 2] = (rhom * .5 * (unm * unm + utm * utm + ubm * ubm) + gamm / (gamm - 1.) * pm) * unm;
2432*c4762a1bSJed Brown     return iwave;
2433*c4762a1bSJed Brown } /* godunovflux_ */
2434*c4762a1bSJed Brown 
2435*c4762a1bSJed Brown /* Subroutine to set up the initial conditions for the */
2436*c4762a1bSJed Brown /* Shock Interface interaction or linear wave (Ravi Samtaney,Mark Adams). */
2437*c4762a1bSJed Brown /* ----------------------------------------------------------------------- */
2438*c4762a1bSJed Brown int projecteqstate(PetscReal wc[], const PetscReal ueq[], PetscReal lv[][3])
2439*c4762a1bSJed Brown {
2440*c4762a1bSJed Brown   int j,k;
2441*c4762a1bSJed Brown /*      Wc=matmul(lv,Ueq) 3 vars */
2442*c4762a1bSJed Brown   for (k = 0; k < 3; ++k) {
2443*c4762a1bSJed Brown     wc[k] = 0.;
2444*c4762a1bSJed Brown     for (j = 0; j < 3; ++j) {
2445*c4762a1bSJed Brown       wc[k] += lv[k][j]*ueq[j];
2446*c4762a1bSJed Brown     }
2447*c4762a1bSJed Brown   }
2448*c4762a1bSJed Brown   return 0;
2449*c4762a1bSJed Brown }
2450*c4762a1bSJed Brown /* ----------------------------------------------------------------------- */
2451*c4762a1bSJed Brown int projecttoprim(PetscReal v[], const PetscReal wc[], PetscReal rv[][3])
2452*c4762a1bSJed Brown {
2453*c4762a1bSJed Brown   int k,j;
2454*c4762a1bSJed Brown   /*      V=matmul(rv,WC) 3 vars */
2455*c4762a1bSJed Brown   for (k = 0; k < 3; ++k) {
2456*c4762a1bSJed Brown     v[k] = 0.;
2457*c4762a1bSJed Brown     for (j = 0; j < 3; ++j) {
2458*c4762a1bSJed Brown       v[k] += rv[k][j]*wc[j];
2459*c4762a1bSJed Brown     }
2460*c4762a1bSJed Brown   }
2461*c4762a1bSJed Brown   return 0;
2462*c4762a1bSJed Brown }
2463*c4762a1bSJed Brown /* ---------------------------------------------------------------------- */
2464*c4762a1bSJed Brown int eigenvectors(PetscReal rv[][3], PetscReal lv[][3], const PetscReal ueq[], PetscReal gamma)
2465*c4762a1bSJed Brown {
2466*c4762a1bSJed Brown   int j,k;
2467*c4762a1bSJed Brown   PetscReal rho,csnd,p0;
2468*c4762a1bSJed Brown   /* PetscScalar u; */
2469*c4762a1bSJed Brown 
2470*c4762a1bSJed Brown   for (k = 0; k < 3; ++k) for (j = 0; j < 3; ++j) { lv[k][j] = 0.; rv[k][j] = 0.; }
2471*c4762a1bSJed Brown   rho = ueq[0];
2472*c4762a1bSJed Brown   /* u = ueq[1]; */
2473*c4762a1bSJed Brown   p0 = ueq[2];
2474*c4762a1bSJed Brown   csnd = PetscSqrtReal(gamma * p0 / rho);
2475*c4762a1bSJed Brown   lv[0][1] = rho * .5;
2476*c4762a1bSJed Brown   lv[0][2] = -.5 / csnd;
2477*c4762a1bSJed Brown   lv[1][0] = csnd;
2478*c4762a1bSJed Brown   lv[1][2] = -1. / csnd;
2479*c4762a1bSJed Brown   lv[2][1] = rho * .5;
2480*c4762a1bSJed Brown   lv[2][2] = .5 / csnd;
2481*c4762a1bSJed Brown   rv[0][0] = -1. / csnd;
2482*c4762a1bSJed Brown   rv[1][0] = 1. / rho;
2483*c4762a1bSJed Brown   rv[2][0] = -csnd;
2484*c4762a1bSJed Brown   rv[0][1] = 1. / csnd;
2485*c4762a1bSJed Brown   rv[0][2] = 1. / csnd;
2486*c4762a1bSJed Brown   rv[1][2] = 1. / rho;
2487*c4762a1bSJed Brown   rv[2][2] = csnd;
2488*c4762a1bSJed Brown   return 0;
2489*c4762a1bSJed Brown }
2490*c4762a1bSJed Brown 
2491*c4762a1bSJed Brown int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx)
2492*c4762a1bSJed Brown {
2493*c4762a1bSJed Brown   PetscReal p0,u0,wcp[3],wc[3];
2494*c4762a1bSJed Brown   PetscReal lv[3][3];
2495*c4762a1bSJed Brown   PetscReal vp[3];
2496*c4762a1bSJed Brown   PetscReal rv[3][3];
2497*c4762a1bSJed Brown   PetscReal eps, ueq[3], rho0, twopi;
2498*c4762a1bSJed Brown 
2499*c4762a1bSJed Brown   /* Function Body */
2500*c4762a1bSJed Brown   twopi = 2.*PETSC_PI;
2501*c4762a1bSJed Brown   eps = 1e-4; /* perturbation */
2502*c4762a1bSJed Brown   rho0 = 1e3;   /* density of water */
2503*c4762a1bSJed Brown   p0 = 101325.; /* init pressure of 1 atm (?) */
2504*c4762a1bSJed Brown   u0 = 0.;
2505*c4762a1bSJed Brown   ueq[0] = rho0;
2506*c4762a1bSJed Brown   ueq[1] = u0;
2507*c4762a1bSJed Brown   ueq[2] = p0;
2508*c4762a1bSJed Brown   /* Project initial state to characteristic variables */
2509*c4762a1bSJed Brown   eigenvectors(rv, lv, ueq, gamma);
2510*c4762a1bSJed Brown   projecteqstate(wc, ueq, lv);
2511*c4762a1bSJed Brown   wcp[0] = wc[0];
2512*c4762a1bSJed Brown   wcp[1] = wc[1];
2513*c4762a1bSJed Brown   wcp[2] = wc[2] + eps * PetscCosReal(coord[0] * 2. * twopi / Lx);
2514*c4762a1bSJed Brown   projecttoprim(vp, wcp, rv);
2515*c4762a1bSJed Brown   ux->r = vp[0]; /* density */
2516*c4762a1bSJed Brown   ux->ru[0] = vp[0] * vp[1]; /* x momentum */
2517*c4762a1bSJed Brown   ux->ru[1] = 0.;
2518*c4762a1bSJed Brown #if defined DIM > 2
2519*c4762a1bSJed Brown   if (dim>2) ux->ru[2] = 0.;
2520*c4762a1bSJed Brown #endif
2521*c4762a1bSJed Brown   /* E = rho * e + rho * v^2/2 = p/(gam-1) + rho*v^2/2 */
2522*c4762a1bSJed Brown   ux->E = vp[2]/(gamma - 1.) + 0.5*vp[0]*vp[1]*vp[1];
2523*c4762a1bSJed Brown   return 0;
2524*c4762a1bSJed Brown }
2525*c4762a1bSJed Brown 
2526*c4762a1bSJed Brown /*TEST
2527*c4762a1bSJed Brown 
2528*c4762a1bSJed Brown   # 2D Advection 0-10
2529*c4762a1bSJed Brown   test:
2530*c4762a1bSJed Brown     suffix: 0
2531*c4762a1bSJed Brown     requires: exodusii
2532*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2533*c4762a1bSJed Brown 
2534*c4762a1bSJed Brown   test:
2535*c4762a1bSJed Brown     suffix: 1
2536*c4762a1bSJed Brown     requires: exodusii
2537*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2538*c4762a1bSJed Brown 
2539*c4762a1bSJed Brown   test:
2540*c4762a1bSJed Brown     suffix: 2
2541*c4762a1bSJed Brown     requires: exodusii
2542*c4762a1bSJed Brown     nsize: 2
2543*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2544*c4762a1bSJed Brown 
2545*c4762a1bSJed Brown   test:
2546*c4762a1bSJed Brown     suffix: 3
2547*c4762a1bSJed Brown     requires: exodusii
2548*c4762a1bSJed Brown     nsize: 2
2549*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2550*c4762a1bSJed Brown 
2551*c4762a1bSJed Brown   test:
2552*c4762a1bSJed Brown     suffix: 4
2553*c4762a1bSJed Brown     requires: exodusii
2554*c4762a1bSJed Brown     nsize: 8
2555*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2556*c4762a1bSJed Brown 
2557*c4762a1bSJed Brown   test:
2558*c4762a1bSJed Brown     suffix: 5
2559*c4762a1bSJed Brown     requires: exodusii
2560*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw -ts_adapt_reject_safety 1
2561*c4762a1bSJed Brown 
2562*c4762a1bSJed Brown   test:
2563*c4762a1bSJed Brown     suffix: 6
2564*c4762a1bSJed Brown     requires: exodusii
2565*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/squaremotor-30.exo -ufv_split_faces
2566*c4762a1bSJed Brown 
2567*c4762a1bSJed Brown   test:
2568*c4762a1bSJed Brown     suffix: 7
2569*c4762a1bSJed Brown     requires: exodusii
2570*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2571*c4762a1bSJed Brown 
2572*c4762a1bSJed Brown   test:
2573*c4762a1bSJed Brown     suffix: 8
2574*c4762a1bSJed Brown     requires: exodusii
2575*c4762a1bSJed Brown     nsize: 2
2576*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2577*c4762a1bSJed Brown 
2578*c4762a1bSJed Brown   test:
2579*c4762a1bSJed Brown     suffix: 9
2580*c4762a1bSJed Brown     requires: exodusii
2581*c4762a1bSJed Brown     nsize: 8
2582*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2583*c4762a1bSJed Brown 
2584*c4762a1bSJed Brown   test:
2585*c4762a1bSJed Brown     suffix: 10
2586*c4762a1bSJed Brown     requires: exodusii
2587*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2588*c4762a1bSJed Brown 
2589*c4762a1bSJed Brown   # 2D Shallow water
2590*c4762a1bSJed Brown   test:
2591*c4762a1bSJed Brown     suffix: sw_0
2592*c4762a1bSJed Brown     requires: exodusii
2593*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -bc_wall 100,101 -physics sw -ufv_cfl 5 -petscfv_type leastsquares -petsclimiter_type sin -ts_max_time 1 -ts_ssp_type rks2 -ts_ssp_nstages 10 -monitor height,energy
2594*c4762a1bSJed Brown 
2595*c4762a1bSJed Brown   # 2D Advection: p4est
2596*c4762a1bSJed Brown   test:
2597*c4762a1bSJed Brown     suffix: p4est_advec_2d
2598*c4762a1bSJed Brown     requires: p4est
2599*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f -dm_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 2 -dm_p4est_refine_pattern hash -dm_forest_maximum_refinement 5
2600*c4762a1bSJed Brown 
2601*c4762a1bSJed Brown   # Advection in a box
2602*c4762a1bSJed Brown   test:
2603*c4762a1bSJed Brown     suffix: adv_2d_quad_0
2604*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2605*c4762a1bSJed Brown 
2606*c4762a1bSJed Brown   test:
2607*c4762a1bSJed Brown     suffix: adv_2d_quad_1
2608*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2609*c4762a1bSJed Brown     timeoutfactor: 3
2610*c4762a1bSJed Brown 
2611*c4762a1bSJed Brown   test:
2612*c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_0
2613*c4762a1bSJed Brown     requires: p4est
2614*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2615*c4762a1bSJed Brown 
2616*c4762a1bSJed Brown   test:
2617*c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_1
2618*c4762a1bSJed Brown     requires: p4est
2619*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2620*c4762a1bSJed Brown     timeoutfactor: 3
2621*c4762a1bSJed Brown 
2622*c4762a1bSJed Brown   test:
2623*c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_adapt_0
2624*c4762a1bSJed Brown     requires: p4est !__float128 #broken for quad precision
2625*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1 -ufv_use_amr -refine_vec_tagger_box 0.005,inf -coarsen_vec_tagger_box 0,1.e-5 -petscfv_type leastsquares -ts_max_time 0.01
2626*c4762a1bSJed Brown     timeoutfactor: 3
2627*c4762a1bSJed Brown 
2628*c4762a1bSJed Brown   test:
2629*c4762a1bSJed Brown     suffix: adv_2d_tri_0
2630*c4762a1bSJed Brown     requires: triangle
2631*c4762a1bSJed Brown     TODO: how did this ever get in master when there is no support for this
2632*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -simplex -dm_refine 3 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2633*c4762a1bSJed Brown 
2634*c4762a1bSJed Brown   test:
2635*c4762a1bSJed Brown     suffix: adv_2d_tri_1
2636*c4762a1bSJed Brown     requires: triangle
2637*c4762a1bSJed Brown     TODO: how did this ever get in master when there is no support for this
2638*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -simplex -dm_refine 5 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2639*c4762a1bSJed Brown 
2640*c4762a1bSJed Brown   test:
2641*c4762a1bSJed Brown     suffix: adv_0
2642*c4762a1bSJed Brown     requires: exodusii
2643*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/blockcylinder-50.exo -bc_inflow 100,101,200 -bc_outflow 201
2644*c4762a1bSJed Brown 
2645*c4762a1bSJed Brown   test:
2646*c4762a1bSJed Brown     suffix: shock_0
2647*c4762a1bSJed Brown     requires: p4est !single !complex
2648*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -monitor density,energy -f -grid_size 2,1 -grid_bounds -1,1.,0.,1 -bc_wall 1,2,3,4 -dm_type p4est -dm_forest_partition_overlap 1 -dm_forest_maximum_refinement 6 -dm_forest_minimum_refinement 2 -dm_forest_initial_refinement 2 -ufv_use_amr -refine_vec_tagger_box 0.5,inf -coarsen_vec_tagger_box 0,1.e-2 -refine_tag_view -coarsen_tag_view -physics euler -eu_type iv_shock -ufv_cfl 10 -eu_alpha 60. -grid_skew_60 -eu_gamma 1.4 -eu_amach 2.02 -eu_rho2 3. -petscfv_type leastsquares -petsclimiter_type minmod -petscfv_compute_gradients 0 -ts_max_time 0.5 -ts_ssp_type rks2 -ts_ssp_nstages 10 -ufv_vtk_basename ${wPETSC_DIR}/ex11
2649*c4762a1bSJed Brown     timeoutfactor: 3
2650*c4762a1bSJed Brown 
2651*c4762a1bSJed Brown   # Test GLVis visualization of PetscFV fields
2652*c4762a1bSJed Brown   test:
2653*c4762a1bSJed Brown     suffix: glvis_adv_2d_tet
2654*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -ts_monitor_solution glvis: -ts_max_steps 0 -ufv_vtk_monitor 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_gmsh_periodic 0
2655*c4762a1bSJed Brown 
2656*c4762a1bSJed Brown   test:
2657*c4762a1bSJed Brown     suffix: glvis_adv_2d_quad
2658*c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -ts_monitor_solution glvis: -ts_max_steps 0 -ufv_vtk_monitor 0 -dm_refine 5 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2659*c4762a1bSJed Brown 
2660*c4762a1bSJed Brown   test:
2661*c4762a1bSJed Brown     suffix: tut_1
2662*c4762a1bSJed Brown     requires: exodusii
2663*c4762a1bSJed Brown     nsize: 1
2664*c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2665*c4762a1bSJed Brown 
2666*c4762a1bSJed Brown   test:
2667*c4762a1bSJed Brown     suffix: tut_2
2668*c4762a1bSJed Brown     requires: exodusii
2669*c4762a1bSJed Brown     nsize: 1
2670*c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw
2671*c4762a1bSJed Brown 
2672*c4762a1bSJed Brown   test:
2673*c4762a1bSJed Brown     suffix: tut_3
2674*c4762a1bSJed Brown     requires: exodusii
2675*c4762a1bSJed Brown     nsize: 4
2676*c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -monitor Error -advect_sol_type bump -petscfv_type leastsquares -petsclimiter_type sin
2677*c4762a1bSJed Brown 
2678*c4762a1bSJed Brown   test:
2679*c4762a1bSJed Brown     suffix: tut_4
2680*c4762a1bSJed Brown     requires: exodusii
2681*c4762a1bSJed Brown     nsize: 4
2682*c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -physics sw -monitor Height,Energy -petscfv_type leastsquares -petsclimiter_type minmod
2683*c4762a1bSJed Brown 
2684*c4762a1bSJed Brown TEST*/
2685