xref: /petsc/src/ts/tutorials/power_grid/ex7.c (revision 0e03b746557e2551025fde0294144c0532d12f68)
1 
2 static char help[] = "Time-dependent PDE in 2d for calculating joint PDF. \n";
3 /*
4    p_t = -x_t*p_x -y_t*p_y + f(t)*p_yy
5    xmin < x < xmax, ymin < y < ymax;
6 
7    Boundary conditions Neumman using mirror values
8 
9    Note that x_t and y_t in the above are given functions of x and y; they are not derivatives of x and y.
10    x_t = (y - ws)  y_t = (ws/2H)*(Pm - Pmax*sin(x))
11 
12 */
13 
14 #include <petscdm.h>
15 #include <petscdmda.h>
16 #include <petscts.h>
17 
18 /*
19    User-defined data structures and routines
20 */
21 typedef struct {
22   PetscScalar ws;   /* Synchronous speed */
23   PetscScalar H;    /* Inertia constant */
24   PetscScalar D;    /* Damping constant */
25   PetscScalar Pmax; /* Maximum power output of generator */
26   PetscScalar PM_min; /* Mean mechanical power input */
27   PetscScalar lambda; /* correlation time */
28   PetscScalar q;      /* noise strength */
29   PetscScalar mux;    /* Initial average angle */
30   PetscScalar sigmax; /* Standard deviation of initial angle */
31   PetscScalar muy;    /* Average speed */
32   PetscScalar sigmay; /* standard deviation of initial speed */
33   PetscScalar rho;    /* Cross-correlation coefficient */
34   PetscScalar xmin;   /* left boundary of angle */
35   PetscScalar xmax;   /* right boundary of angle */
36   PetscScalar ymin;   /* bottom boundary of speed */
37   PetscScalar ymax;   /* top boundary of speed */
38   PetscScalar dx;     /* x step size */
39   PetscScalar dy;     /* y step size */
40   PetscScalar disper_coe; /* Dispersion coefficient */
41   DM          da;
42   PetscInt    st_width; /* Stencil width */
43   DMBoundaryType bx; /* x boundary type */
44   DMBoundaryType by; /* y boundary type */
45   PetscBool        nonoiseinitial;
46 } AppCtx;
47 
48 PetscErrorCode Parameter_settings(AppCtx*);
49 PetscErrorCode ini_bou(Vec,AppCtx*);
50 PetscErrorCode IFunction(TS,PetscReal,Vec,Vec,Vec,void*);
51 PetscErrorCode IJacobian(TS,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*);
52 PetscErrorCode PostStep(TS);
53 
54 int main(int argc, char **argv)
55 {
56   PetscErrorCode ierr;
57   Vec            x;  /* Solution vector */
58   TS             ts;   /* Time-stepping context */
59   AppCtx         user; /* Application context */
60   PetscViewer    viewer;
61 
62   ierr = PetscInitialize(&argc,&argv,"petscopt_ex7", help);if (ierr) return ierr;
63 
64   /* Get physics and time parameters */
65   ierr = Parameter_settings(&user);CHKERRQ(ierr);
66   /* Create a 2D DA with dof = 1 */
67   ierr = DMDACreate2d(PETSC_COMM_WORLD,user.bx,user.by,DMDA_STENCIL_STAR,4,4,PETSC_DECIDE,PETSC_DECIDE,1,user.st_width,NULL,NULL,&user.da);CHKERRQ(ierr);
68   ierr = DMSetFromOptions(user.da);CHKERRQ(ierr);
69   ierr = DMSetUp(user.da);CHKERRQ(ierr);
70   /* Set x and y coordinates */
71   ierr = DMDASetUniformCoordinates(user.da,user.xmin,user.xmax,user.ymin,user.ymax,0,0);CHKERRQ(ierr);
72   ierr = DMDASetCoordinateName(user.da,0,"X - the angle");CHKERRQ(ierr);
73   ierr = DMDASetCoordinateName(user.da,1,"Y - the speed");CHKERRQ(ierr);
74 
75   /* Get global vector x from DM  */
76   ierr = DMCreateGlobalVector(user.da,&x);CHKERRQ(ierr);
77 
78   ierr = ini_bou(x,&user);CHKERRQ(ierr);
79   ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,"ini_x",FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
80   ierr = VecView(x,viewer);CHKERRQ(ierr);
81   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
82 
83   ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
84   ierr = TSSetDM(ts,user.da);CHKERRQ(ierr);
85   ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
86   ierr = TSSetType(ts,TSARKIMEX);CHKERRQ(ierr);
87   ierr = TSSetIFunction(ts,NULL,IFunction,&user);CHKERRQ(ierr);
88   /*  ierr = TSSetIJacobian(ts,NULL,NULL,IJacobian,&user);CHKERRQ(ierr);  */
89   ierr = TSSetApplicationContext(ts,&user);CHKERRQ(ierr);
90   ierr = TSSetTimeStep(ts,.005);CHKERRQ(ierr);
91   ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
92   ierr = TSSetPostStep(ts,PostStep);CHKERRQ(ierr);
93   ierr = TSSolve(ts,x);CHKERRQ(ierr);
94 
95   ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,"fin_x",FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
96   ierr = VecView(x,viewer);CHKERRQ(ierr);
97   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
98 
99   ierr = VecDestroy(&x);CHKERRQ(ierr);
100   ierr = DMDestroy(&user.da);CHKERRQ(ierr);
101   ierr = TSDestroy(&ts);CHKERRQ(ierr);
102   ierr = PetscFinalize();
103   return ierr;
104 }
105 
106 PetscErrorCode PostStep(TS ts)
107 {
108   PetscErrorCode ierr;
109   Vec            X,gc;
110   AppCtx         *user;
111   PetscScalar    sum = 0,asum;
112   PetscReal      t,**p;
113   DMDACoor2d     **coors;
114   DM             cda;
115   PetscInt       i,j,xs,ys,xm,ym;
116 
117   PetscFunctionBegin;
118   ierr = TSGetApplicationContext(ts,&user);CHKERRQ(ierr);
119   ierr = TSGetTime(ts,&t);CHKERRQ(ierr);
120   ierr = TSGetSolution(ts,&X);CHKERRQ(ierr);
121 
122   ierr = DMGetCoordinateDM(user->da,&cda);CHKERRQ(ierr);
123   ierr = DMDAGetCorners(cda,&xs,&ys,0,&xm,&ym,0);CHKERRQ(ierr);
124   ierr = DMGetCoordinates(user->da,&gc);CHKERRQ(ierr);
125   ierr = DMDAVecGetArrayRead(cda,gc,&coors);CHKERRQ(ierr);
126   ierr = DMDAVecGetArrayRead(user->da,X,&p);CHKERRQ(ierr);
127   for (i=xs; i < xs+xm; i++) {
128     for (j=ys; j < ys+ym; j++) {
129       if (coors[j][i].y < 5) sum += p[j][i];
130     }
131   }
132   ierr = DMDAVecRestoreArrayRead(cda,gc,&coors);CHKERRQ(ierr);
133   ierr = DMDAVecRestoreArrayRead(user->da,X,&p);CHKERRQ(ierr);
134   ierr = MPI_Allreduce(&sum,&asum,1,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
135   ierr = PetscPrintf(PETSC_COMM_WORLD,"sum(p)*dw*dtheta at t = %f = %f\n",(double)t,(double)(asum));CHKERRQ(ierr);
136   if (sum  < 1.0e-2) {
137     ierr = TSSetConvergedReason(ts,TS_CONVERGED_USER);CHKERRQ(ierr);
138     ierr = PetscPrintf(PETSC_COMM_WORLD,"Exiting TS as the integral of PDF is almost zero\n");CHKERRQ(ierr);
139   }
140   PetscFunctionReturn(0);
141 }
142 
143 PetscErrorCode ini_bou(Vec X,AppCtx* user)
144 {
145   PetscErrorCode ierr;
146   DM             cda;
147   DMDACoor2d     **coors;
148   PetscScalar    **p;
149   Vec            gc;
150   PetscInt       i,j;
151   PetscInt       xs,ys,xm,ym,M,N;
152   PetscScalar    xi,yi;
153   PetscScalar    sigmax=user->sigmax,sigmay=user->sigmay;
154   PetscScalar    rho   =user->rho;
155   PetscScalar    muy=user->muy,mux;
156   PetscMPIInt    rank;
157   PetscScalar    sum;
158 
159   PetscFunctionBeginUser;
160   ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
161   ierr = DMDAGetInfo(user->da,NULL,&M,&N,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
162   user->dx = (user->xmax - user->xmin)/(M-1); user->dy = (user->ymax - user->ymin)/(N-1);
163   ierr = DMGetCoordinateDM(user->da,&cda);CHKERRQ(ierr);
164   ierr = DMGetCoordinates(user->da,&gc);CHKERRQ(ierr);
165   ierr = DMDAVecGetArray(cda,gc,&coors);CHKERRQ(ierr);
166   ierr = DMDAVecGetArray(user->da,X,&p);CHKERRQ(ierr);
167   ierr = DMDAGetCorners(cda,&xs,&ys,0,&xm,&ym,0);CHKERRQ(ierr);
168 
169   /* mux and muy need to be grid points in the x and y-direction otherwise the solution goes unstable
170      muy is set by choosing the y domain, no. of grid points along y-direction so that muy is a grid point
171      in the y-direction. We only modify mux here
172   */
173   mux = user->mux = coors[0][M/2+10].x; /* For -pi < x < pi, this should be some angle between 0 and pi/2 */
174   if (user->nonoiseinitial) {
175     for (i=xs; i < xs+xm; i++) {
176       for (j=ys; j < ys+ym; j++) {
177         xi = coors[j][i].x; yi = coors[j][i].y;
178         if ((xi == mux) && (yi == muy)) {
179           p[j][i] = 1.0;
180         }
181       }
182     }
183   } else {
184     /* Change PM_min accordingly */
185     user->PM_min = user->Pmax*PetscSinScalar(mux);
186     for (i=xs; i < xs+xm; i++) {
187       for (j=ys; j < ys+ym; j++) {
188         xi = coors[j][i].x; yi = coors[j][i].y;
189         p[j][i] = (0.5/(PETSC_PI*sigmax*sigmay*PetscSqrtScalar(1.0-rho*rho)))*PetscExpScalar(-0.5/(1-rho*rho)*(PetscPowScalar((xi-mux)/sigmax,2) + PetscPowScalar((yi-muy)/sigmay,2) - 2*rho*(xi-mux)*(yi-muy)/(sigmax*sigmay)));
190       }
191     }
192   }
193   ierr = DMDAVecRestoreArray(cda,gc,&coors);CHKERRQ(ierr);
194   ierr = DMDAVecRestoreArray(user->da,X,&p);CHKERRQ(ierr);
195   ierr = VecSum(X,&sum);CHKERRQ(ierr);
196   ierr = VecScale(X,1.0/sum);CHKERRQ(ierr);
197   PetscFunctionReturn(0);
198 }
199 
200 /* First advection term */
201 PetscErrorCode adv1(PetscScalar **p,PetscScalar y,PetscInt i,PetscInt j,PetscInt M,PetscScalar *p1,AppCtx *user)
202 {
203   PetscScalar f,fpos,fneg;
204   PetscFunctionBegin;
205   f   =  (y - user->ws);
206   fpos = PetscMax(f,0);
207   fneg = PetscMin(f,0);
208   if (user->st_width == 1) {
209     *p1 = fpos*(p[j][i] - p[j][i-1])/user->dx + fneg*(p[j][i+1] - p[j][i])/user->dx;
210   } else if (user->st_width == 2) {
211     *p1 = fpos*(3*p[j][i] - 4*p[j][i-1] + p[j][i-2])/(2*user->dx) + fneg*(-p[j][i+2] + 4*p[j][i+1] - 3*p[j][i])/(2*user->dx);
212   } else if (user->st_width == 3) {
213     *p1 = fpos*(2*p[j][i+1] + 3*p[j][i] - 6*p[j][i-1] + p[j][i-2])/(6*user->dx) + fneg*(-p[j][i+2] + 6*p[j][i+1] - 3*p[j][i] - 2*p[j][i-1])/(6*user->dx);
214   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"No support for wider stencils");
215   PetscFunctionReturn(0);
216 }
217 
218 /* Second advection term */
219 PetscErrorCode adv2(PetscScalar **p,PetscScalar x,PetscInt i,PetscInt j,PetscInt N,PetscScalar *p2,AppCtx *user)
220 {
221   PetscScalar f,fpos,fneg;
222   PetscFunctionBegin;
223   f   = (user->ws/(2*user->H))*(user->PM_min - user->Pmax*PetscSinScalar(x));
224   fpos = PetscMax(f,0);
225   fneg = PetscMin(f,0);
226   if (user->st_width == 1) {
227     *p2 = fpos*(p[j][i] - p[j-1][i])/user->dy + fneg*(p[j+1][i] - p[j][i])/user->dy;
228   } else if (user->st_width ==2) {
229     *p2 = fpos*(3*p[j][i] - 4*p[j-1][i] + p[j-2][i])/(2*user->dy) + fneg*(-p[j+2][i] + 4*p[j+1][i] - 3*p[j][i])/(2*user->dy);
230   } else if (user->st_width == 3) {
231     *p2 = fpos*(2*p[j+1][i] + 3*p[j][i] - 6*p[j-1][i] + p[j-2][i])/(6*user->dy) + fneg*(-p[j+2][i] + 6*p[j+1][i] - 3*p[j][i] - 2*p[j-1][i])/(6*user->dy);
232   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"No support for wider stencils");
233   PetscFunctionReturn(0);
234 }
235 
236 /* Diffusion term */
237 PetscErrorCode diffuse(PetscScalar **p,PetscInt i,PetscInt j,PetscReal t,PetscScalar *p_diff,AppCtx * user)
238 {
239   PetscFunctionBeginUser;
240   if (user->st_width == 1) {
241     *p_diff = user->disper_coe*((p[j-1][i] - 2*p[j][i] + p[j+1][i])/(user->dy*user->dy));
242   } else if (user->st_width == 2) {
243     *p_diff = user->disper_coe*((-p[j-2][i] + 16*p[j-1][i] - 30*p[j][i] + 16*p[j+1][i] - p[j+2][i])/(12.0*user->dy*user->dy));
244   } else if (user->st_width == 3) {
245     *p_diff = user->disper_coe*((2*p[j-3][i] - 27*p[j-2][i] + 270*p[j-1][i] - 490*p[j][i] + 270*p[j+1][i] - 27*p[j+2][i] + 2*p[j+3][i])/(180.0*user->dy*user->dy));
246   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"No support for wider stencils");
247   PetscFunctionReturn(0);
248 }
249 
250 PetscErrorCode IFunction(TS ts,PetscReal t,Vec X,Vec Xdot,Vec F,void *ctx)
251 {
252   PetscErrorCode ierr;
253   AppCtx         *user=(AppCtx*)ctx;
254   DM             cda;
255   DMDACoor2d     **coors;
256   PetscScalar    **p,**f,**pdot;
257   PetscInt       i,j;
258   PetscInt       xs,ys,xm,ym,M,N;
259   Vec            localX,gc,localXdot;
260   PetscScalar    p_adv1,p_adv2,p_diff;
261 
262   PetscFunctionBeginUser;
263   ierr = DMDAGetInfo(user->da,NULL,&M,&N,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
264   ierr = DMGetCoordinateDM(user->da,&cda);CHKERRQ(ierr);
265   ierr = DMDAGetCorners(cda,&xs,&ys,0,&xm,&ym,0);CHKERRQ(ierr);
266 
267   ierr = DMGetLocalVector(user->da,&localX);CHKERRQ(ierr);
268   ierr = DMGetLocalVector(user->da,&localXdot);CHKERRQ(ierr);
269 
270   ierr = DMGlobalToLocalBegin(user->da,X,INSERT_VALUES,localX);CHKERRQ(ierr);
271   ierr = DMGlobalToLocalEnd(user->da,X,INSERT_VALUES,localX);CHKERRQ(ierr);
272   ierr = DMGlobalToLocalBegin(user->da,Xdot,INSERT_VALUES,localXdot);CHKERRQ(ierr);
273   ierr = DMGlobalToLocalEnd(user->da,Xdot,INSERT_VALUES,localXdot);CHKERRQ(ierr);
274 
275   ierr = DMGetCoordinatesLocal(user->da,&gc);CHKERRQ(ierr);
276 
277   ierr = DMDAVecGetArrayRead(cda,gc,&coors);CHKERRQ(ierr);
278   ierr = DMDAVecGetArrayRead(user->da,localX,&p);CHKERRQ(ierr);
279   ierr = DMDAVecGetArrayRead(user->da,localXdot,&pdot);CHKERRQ(ierr);
280   ierr = DMDAVecGetArray(user->da,F,&f);CHKERRQ(ierr);
281 
282   user->disper_coe = PetscPowScalar((user->lambda*user->ws)/(2*user->H),2)*user->q*(1.0-PetscExpScalar(-t/user->lambda));
283   for (i=xs; i < xs+xm; i++) {
284     for (j=ys; j < ys+ym; j++) {
285       ierr = adv1(p,coors[j][i].y,i,j,M,&p_adv1,user);CHKERRQ(ierr);
286       ierr = adv2(p,coors[j][i].x,i,j,N,&p_adv2,user);CHKERRQ(ierr);
287       ierr = diffuse(p,i,j,t,&p_diff,user);CHKERRQ(ierr);
288       f[j][i] = -p_adv1 - p_adv2  + p_diff - pdot[j][i];
289     }
290   }
291   ierr = DMDAVecRestoreArrayRead(user->da,localX,&p);CHKERRQ(ierr);
292   ierr = DMDAVecRestoreArrayRead(user->da,localX,&pdot);CHKERRQ(ierr);
293   ierr = DMRestoreLocalVector(user->da,&localX);CHKERRQ(ierr);
294   ierr = DMRestoreLocalVector(user->da,&localXdot);CHKERRQ(ierr);
295   ierr = DMDAVecRestoreArray(user->da,F,&f);CHKERRQ(ierr);
296   ierr = DMDAVecRestoreArrayRead(cda,gc,&coors);CHKERRQ(ierr);
297 
298   PetscFunctionReturn(0);
299 }
300 
301 PetscErrorCode IJacobian(TS ts,PetscReal t,Vec X,Vec Xdot,PetscReal a,Mat J,Mat Jpre,void *ctx)
302 {
303   PetscErrorCode ierr;
304   AppCtx         *user=(AppCtx*)ctx;
305   DM             cda;
306   DMDACoor2d     **coors;
307   PetscInt       i,j;
308   PetscInt       xs,ys,xm,ym,M,N;
309   Vec            gc;
310   PetscScalar    val[5],xi,yi;
311   MatStencil     row,col[5];
312   PetscScalar    c1,c3,c5,c1pos,c1neg,c3pos,c3neg;
313 
314   PetscFunctionBeginUser;
315   ierr = DMDAGetInfo(user->da,NULL,&M,&N,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
316   ierr = DMGetCoordinateDM(user->da,&cda);CHKERRQ(ierr);
317   ierr = DMDAGetCorners(cda,&xs,&ys,0,&xm,&ym,0);CHKERRQ(ierr);
318 
319   ierr = DMGetCoordinatesLocal(user->da,&gc);CHKERRQ(ierr);
320   ierr = DMDAVecGetArrayRead(cda,gc,&coors);CHKERRQ(ierr);
321   for (i=xs; i < xs+xm; i++) {
322     for (j=ys; j < ys+ym; j++) {
323       PetscInt nc = 0;
324       xi = coors[j][i].x; yi = coors[j][i].y;
325       row.i = i; row.j = j;
326       c1        = (yi-user->ws)/user->dx;
327       c1pos    = PetscMax(c1,0);
328       c1neg    = PetscMin(c1,0);
329       c3        = (user->ws/(2.0*user->H))*(user->PM_min - user->Pmax*PetscSinScalar(xi))/user->dy;
330       c3pos    = PetscMax(c3,0);
331       c3neg    = PetscMin(c3,0);
332       c5        = (PetscPowScalar((user->lambda*user->ws)/(2*user->H),2)*user->q*(1.0-PetscExpScalar(-t/user->lambda)))/(user->dy*user->dy);
333       col[nc].i = i-1; col[nc].j = j;   val[nc++] = c1pos;
334       col[nc].i = i+1; col[nc].j = j;   val[nc++] = -c1neg;
335       col[nc].i = i;   col[nc].j = j-1; val[nc++] = c3pos + c5;
336       col[nc].i = i;   col[nc].j = j+1; val[nc++] = -c3neg + c5;
337       col[nc].i = i;   col[nc].j = j;   val[nc++] = -c1pos + c1neg -c3pos + c3neg -2*c5 -a;
338       ierr = MatSetValuesStencil(Jpre,1,&row,nc,col,val,INSERT_VALUES);CHKERRQ(ierr);
339     }
340   }
341   ierr = DMDAVecRestoreArrayRead(cda,gc,&coors);CHKERRQ(ierr);
342 
343   ierr =  MatAssemblyBegin(Jpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
344   ierr = MatAssemblyEnd(Jpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
345   if (J != Jpre) {
346     ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
347     ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
348   }
349   PetscFunctionReturn(0);
350 }
351 
352 
353 
354 PetscErrorCode Parameter_settings(AppCtx *user)
355 {
356   PetscErrorCode ierr;
357   PetscBool      flg;
358 
359   PetscFunctionBeginUser;
360 
361   /* Set default parameters */
362   user->ws     = 1.0;
363   user->H      = 5.0;
364   user->Pmax   = 2.1;
365   user->PM_min = 1.0;
366   user->lambda = 0.1;
367   user->q      = 1.0;
368   user->mux    = PetscAsinScalar(user->PM_min/user->Pmax);
369   user->sigmax = 0.1;
370   user->sigmay = 0.1;
371   user->rho    = 0.0;
372   user->xmin   = -PETSC_PI;
373   user->xmax   =  PETSC_PI;
374   user->bx     = DM_BOUNDARY_PERIODIC;
375   user->by     = DM_BOUNDARY_MIRROR;
376   user->nonoiseinitial = PETSC_FALSE;
377 
378   /*
379      ymin of -3 seems to let the unstable solution move up and leave a zero in its wake
380      with an ymin of -1 the wake is never exactly zero
381   */
382   user->ymin   = -3.0;
383   user->ymax   = 10.0;
384   user->st_width = 1;
385 
386   ierr = PetscOptionsGetScalar(NULL,NULL,"-ws",&user->ws,&flg);CHKERRQ(ierr);
387   ierr = PetscOptionsGetScalar(NULL,NULL,"-Inertia",&user->H,&flg);CHKERRQ(ierr);
388   ierr = PetscOptionsGetScalar(NULL,NULL,"-Pmax",&user->Pmax,&flg);CHKERRQ(ierr);
389   ierr = PetscOptionsGetScalar(NULL,NULL,"-PM_min",&user->PM_min,&flg);CHKERRQ(ierr);
390   ierr = PetscOptionsGetScalar(NULL,NULL,"-lambda",&user->lambda,&flg);CHKERRQ(ierr);
391   ierr = PetscOptionsGetScalar(NULL,NULL,"-q",&user->q,&flg);CHKERRQ(ierr);
392   ierr = PetscOptionsGetScalar(NULL,NULL,"-mux",&user->mux,&flg);CHKERRQ(ierr);
393   ierr = PetscOptionsGetScalar(NULL,NULL,"-sigmax",&user->sigmax,&flg);CHKERRQ(ierr);
394   ierr = PetscOptionsGetScalar(NULL,NULL,"-muy",&user->muy,&flg);CHKERRQ(ierr);
395   if (flg == 0) {
396     user->muy = user->ws;
397   }
398   ierr = PetscOptionsGetScalar(NULL,NULL,"-sigmay",&user->sigmay,&flg);CHKERRQ(ierr);
399   ierr = PetscOptionsGetScalar(NULL,NULL,"-rho",&user->rho,&flg);CHKERRQ(ierr);
400   ierr = PetscOptionsGetScalar(NULL,NULL,"-xmin",&user->xmin,&flg);CHKERRQ(ierr);
401   ierr = PetscOptionsGetScalar(NULL,NULL,"-xmax",&user->xmax,&flg);CHKERRQ(ierr);
402   ierr = PetscOptionsGetScalar(NULL,NULL,"-ymin",&user->ymin,&flg);CHKERRQ(ierr);
403   ierr = PetscOptionsGetScalar(NULL,NULL,"-ymax",&user->ymax,&flg);CHKERRQ(ierr);
404   ierr = PetscOptionsGetInt(NULL,NULL,"-stencil_width",&user->st_width,&flg);CHKERRQ(ierr);
405   ierr = PetscOptionsGetEnum(NULL,NULL,"-bx",DMBoundaryTypes,(PetscEnum*)&user->bx,&flg);CHKERRQ(ierr);
406   ierr = PetscOptionsGetEnum(NULL,NULL,"-by",DMBoundaryTypes,(PetscEnum*)&user->by,&flg);CHKERRQ(ierr);
407   ierr = PetscOptionsGetBool(NULL,NULL,"-nonoiseinitial",&user->nonoiseinitial,&flg);CHKERRQ(ierr);
408 
409   PetscFunctionReturn(0);
410 }
411 
412 
413 /*TEST
414 
415    build:
416       requires: !complex !single
417 
418    test:
419       args: -ts_max_steps 2
420       localrunfiles: petscopt_ex7
421 
422    test:
423       suffix: 2
424       args: -ts_max_steps 2 -snes_mf_operator
425       output_file: output/ex7_1.out
426       localrunfiles: petscopt_ex7
427       timeoutfactor: 2
428 
429    test:
430       suffix: 3
431       args: -ts_max_steps 2 -snes_mf -pc_type none
432       output_file: output/ex7_1.out
433       localrunfiles: petscopt_ex7
434       timeoutfactor: 2
435 
436 TEST*/
437