xref: /petsc/src/ts/utils/dmplexlandau/tutorials/ex2.c (revision 08401ef684002a709c6d3db98a0c9f54a8bcf1ec)
1 static char help[] = "Runaway electron model with Landau collision operator\n\n";
2 
3 #include <petscdmplex.h>
4 #include <petsclandau.h>
5 #include <petscts.h>
6 #include <petscds.h>
7 #include <petscdmcomposite.h>
8 
9 /* data for runaway electron model */
10 typedef struct REctx_struct {
11   PetscErrorCode (*test)(TS, Vec, PetscInt, PetscReal, PetscBool,  LandauCtx *, struct REctx_struct *);
12   PetscErrorCode (*impuritySrcRate)(PetscReal, PetscReal *, LandauCtx*);
13   PetscErrorCode (*E)(Vec, Vec, PetscInt, PetscReal, LandauCtx*, PetscReal *);
14   PetscReal     T_cold;        /* temperature of newly ionized electrons and impurity ions */
15   PetscReal     ion_potential; /* ionization potential of impurity */
16   PetscReal     Ne_ion;        /* effective number of electrons shed in ioization of impurity */
17   PetscReal     Ez_initial;
18   PetscReal     L;             /* inductance */
19   Vec           X_0;
20   PetscInt      imp_idx;       /* index for impurity ionizing sink */
21   PetscReal     pulse_start;
22   PetscReal     pulse_width;
23   PetscReal     pulse_rate;
24   PetscReal     current_rate;
25   PetscInt      plotIdx;
26   PetscInt      plotStep;
27   PetscInt      idx; /* cache */
28   PetscReal     j; /* cache */
29   PetscReal     plotDt;
30   PetscBool     plotting;
31   PetscBool     use_spitzer_eta;
32   PetscInt      print_period;
33   PetscInt      grid_view_idx;
34 } REctx;
35 
36 static const PetscReal kev_joul = 6.241506479963235e+15; /* 1/1000e */
37 
38 #define RE_CUT 3.
39 /* < v, u_re * v * q > */
40 static void f0_j_re(PetscInt dim, PetscInt Nf, PetscInt NfAux,
41                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
42                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
43                     PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
44 {
45   PetscReal n_e = PetscRealPart(u[0]);
46   if (dim==2) {
47     if (x[1] > RE_CUT || x[1] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */
48       *f0 = n_e * 2.*PETSC_PI*x[0] * x[1] * constants[0]; /* n * r * v_|| * q */
49     } else {
50       *f0 = 0;
51     }
52   } else {
53     if (x[2] > RE_CUT || x[2] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */
54       *f0 = n_e                * x[2] * constants[0];
55     } else {
56       *f0 = 0;
57     }
58   }
59 }
60 
61 /* sum < v, u*v*q > */
62 static void f0_jz_sum(PetscInt dim, PetscInt Nf, PetscInt NfAux,
63                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
64                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
65                       PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar q[], PetscScalar *f0)
66 {
67   PetscInt ii;
68   f0[0] = 0;
69   if (dim==2) {
70     for (ii=0;ii<Nf;ii++) f0[0] += u[ii] * 2.*PETSC_PI*x[0] * x[1] * q[ii]; /* n * r * v_|| * q * v_0 */
71   } else {
72     for (ii=0;ii<Nf;ii++) f0[0] += u[ii]                * x[2] * q[ii]; /* n * v_|| * q  * v_0 */
73   }
74 }
75 
76 /* < v, n_e > */
77 static void f0_n(PetscInt dim, PetscInt Nf, PetscInt NfAux,
78                   const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
79                   const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
80                   PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
81 {
82   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
83   if (dim==2) f0[0] = 2.*PETSC_PI*x[0]*u[ii];
84   else {
85     f0[0] =                        u[ii];
86   }
87 }
88 
89 /* < v, n_e v_|| > */
90 static void f0_vz(PetscInt dim, PetscInt Nf, PetscInt NfAux,
91                    const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
92                    const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
93                    PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
94 {
95   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
96   if (dim==2) f0[0] = u[ii] * 2.*PETSC_PI*x[0] * x[1]; /* n r v_|| */
97   else {
98     f0[0] =           u[ii] *                x[2]; /* n v_|| */
99   }
100 }
101 
102 /* < v, n_e (v-shift) > */
103 static void f0_ve_shift(PetscInt dim, PetscInt Nf, PetscInt NfAux,
104                          const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
105                          const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
106                          PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
107 {
108   PetscReal vz = numConstants>0 ? PetscRealPart(constants[0]) : 0;
109   if (dim==2) *f0 = u[0] * 2.*PETSC_PI*x[0] * PetscSqrtReal(x[0]*x[0] + (x[1]-vz)*(x[1]-vz));         /* n r v */
110   else {
111     *f0 =           u[0] *                PetscSqrtReal(x[0]*x[0] + x[1]*x[1] + (x[2]-vz)*(x[2]-vz)); /* n v */
112   }
113 }
114 
115  /* CalculateE - Calculate the electric field  */
116  /*  T        -- Electron temperature  */
117  /*  n        -- Electron density  */
118  /*  lnLambda --   */
119  /*  eps0     --  */
120  /*  E        -- output E, input \hat E */
121 static PetscReal CalculateE(PetscReal Tev, PetscReal n, PetscReal lnLambda, PetscReal eps0, PetscReal *E)
122 {
123   PetscReal c,e,m;
124 
125   PetscFunctionBegin;
126   c = 299792458.0;
127   e = 1.602176e-19;
128   m = 9.10938e-31;
129   if (1) {
130     double Ec, Ehat = *E, betath = PetscSqrtReal(2*Tev*e/(m*c*c)), j0 = Ehat * 7/(PetscSqrtReal(2)*2) * PetscPowReal(betath,3) * n * e * c;
131     Ec = n*lnLambda*PetscPowReal(e,3) / (4*PETSC_PI*PetscPowReal(eps0,2)*m*c*c);
132     *E = Ec;
133     PetscPrintf(PETSC_COMM_WORLD, "CalculateE j0=%g Ec = %g\n",j0,Ec);
134   } else {
135     PetscReal Ed, vth;
136     vth = PetscSqrtReal(8*Tev*e/(m*PETSC_PI));
137     Ed =  n*lnLambda*PetscPowReal(e,3) / (4*PETSC_PI*PetscPowReal(eps0,2)*m*vth*vth);
138     *E = Ed;
139   }
140   PetscFunctionReturn(0);
141 }
142 
143 static PetscReal Spitzer(PetscReal m_e, PetscReal e, PetscReal Z, PetscReal epsilon0,  PetscReal lnLam, PetscReal kTe_joules)
144 {
145   PetscReal Fz = (1+1.198*Z+0.222*Z*Z)/(1+2.966*Z+0.753*Z*Z), eta;
146   eta = Fz*4./3.*PetscSqrtReal(2.*PETSC_PI)*Z*PetscSqrtReal(m_e)*PetscSqr(e)*lnLam*PetscPowReal(4*PETSC_PI*epsilon0,-2.)*PetscPowReal(kTe_joules,-1.5);
147   return eta;
148 }
149 
150 /*  */
151 static PetscErrorCode testNone(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
152 {
153   PetscFunctionBeginUser;
154   PetscFunctionReturn(0);
155 }
156 
157 /*  */
158 static PetscErrorCode testSpitzer(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
159 {
160   PetscInt          ii,nDMs;
161   PetscDS           prob;
162   static PetscReal  old_ratio = 1e10;
163   TSConvergedReason reason;
164   PetscReal         J,J_re,spit_eta,Te_kev=0,E,ratio,Z,n_e,v,v2;
165   PetscScalar       user[2] = {0.,ctx->charges[0]}, q[LANDAU_MAX_SPECIES],tt[LANDAU_MAX_SPECIES],vz;
166   PetscReal         dt;
167   DM                pack, plexe = ctx->plex[0], plexi = (ctx->num_grids==1) ? NULL : ctx->plex[1];
168   Vec               *XsubArray;
169 
170   PetscFunctionBeginUser;
171   PetscCheck(ctx->num_species==2,PETSC_COMM_SELF, PETSC_ERR_PLIB, "ctx->num_species %D != 2",ctx->num_species);
172   PetscCall(VecGetDM(X, &pack));
173   PetscCheck(pack,PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM");
174   PetscCall(DMCompositeGetNumberDM(pack,&nDMs));
175   PetscCheck(nDMs == ctx->num_grids*ctx->batch_sz,PETSC_COMM_SELF, PETSC_ERR_PLIB, "nDMs != ctx->num_grids*ctx->batch_sz %D != %D",nDMs,ctx->num_grids*ctx->batch_sz);
176   PetscCall(PetscMalloc(sizeof(*XsubArray)*nDMs, &XsubArray));
177   PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
178   PetscCall(TSGetTimeStep(ts,&dt));
179   /* get current for each grid */
180   for (ii=0;ii<ctx->num_species;ii++) q[ii] = ctx->charges[ii];
181   PetscCall(DMGetDS(plexe, &prob));
182   PetscCall(PetscDSSetConstants(prob, 2, &q[0]));
183   PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
184   PetscCall(DMPlexComputeIntegralFEM(plexe,XsubArray[ LAND_PACK_IDX(ctx->batch_view_idx,0) ],tt,NULL));
185   J = -ctx->n_0*ctx->v_0*PetscRealPart(tt[0]);
186   if (plexi) { // add first (only) ion
187     PetscCall(DMGetDS(plexi, &prob));
188     PetscCall(PetscDSSetConstants(prob, 1, &q[1]));
189     PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
190     PetscCall(DMPlexComputeIntegralFEM(plexi,XsubArray[LAND_PACK_IDX(ctx->batch_view_idx,1)],tt,NULL));
191     J += -ctx->n_0*ctx->v_0*PetscRealPart(tt[0]);
192   }
193   /* get N_e */
194   PetscCall(DMGetDS(plexe, &prob));
195   PetscCall(PetscDSSetConstants(prob, 1, user));
196   PetscCall(PetscDSSetObjective(prob, 0, &f0_n));
197   PetscCall(DMPlexComputeIntegralFEM(plexe,XsubArray[LAND_PACK_IDX(ctx->batch_view_idx,0)],tt,NULL));
198   n_e = PetscRealPart(tt[0])*ctx->n_0;
199   /* Z */
200   Z = -ctx->charges[1]/ctx->charges[0];
201   /* remove drift */
202   if (0) {
203     user[0] = 0; // electrons
204     PetscCall(DMGetDS(plexe, &prob));
205     PetscCall(PetscDSSetConstants(prob, 1, user));
206     PetscCall(PetscDSSetObjective(prob, 0, &f0_vz));
207     PetscCall(DMPlexComputeIntegralFEM(plexe,XsubArray[LAND_PACK_IDX(ctx->batch_view_idx,0)],tt,NULL));
208     vz = ctx->n_0*PetscRealPart(tt[0])/n_e; /* non-dimensional */
209   } else vz = 0;
210   /* thermal velocity */
211   PetscCall(DMGetDS(plexe, &prob));
212   PetscCall(PetscDSSetConstants(prob, 1, &vz));
213   PetscCall(PetscDSSetObjective(prob, 0, &f0_ve_shift));
214   PetscCall(DMPlexComputeIntegralFEM(plexe,XsubArray[LAND_PACK_IDX(ctx->batch_view_idx,0)],tt,NULL));
215   v = ctx->n_0*ctx->v_0*PetscRealPart(tt[0])/n_e;   /* remove number density to get velocity */
216   v2 = PetscSqr(v);                                    /* use real space: m^2 / s^2 */
217   Te_kev = (v2*ctx->masses[0]*PETSC_PI/8)*kev_joul;    /* temperature in kev */
218   spit_eta = Spitzer(ctx->masses[0],-ctx->charges[0],Z,ctx->epsilon0,ctx->lnLam,Te_kev/kev_joul); /* kev --> J (kT) */
219   if (0) {
220     PetscCall(DMGetDS(plexe, &prob));
221     PetscCall(PetscDSSetConstants(prob, 1, q));
222     PetscCall(PetscDSSetObjective(prob, 0, &f0_j_re));
223     PetscCall(DMPlexComputeIntegralFEM(plexe,XsubArray[LAND_PACK_IDX(ctx->batch_view_idx,0)],tt,NULL));
224   } else tt[0] = 0;
225   J_re = -ctx->n_0*ctx->v_0*PetscRealPart(tt[0]);
226   PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
227   PetscCall(PetscFree(XsubArray));
228 
229   if (rectx->use_spitzer_eta) {
230     E = ctx->Ez = spit_eta*(rectx->j-J_re);
231   } else {
232     E = ctx->Ez; /* keep real E */
233     rectx->j = J; /* cache */
234   }
235 
236   ratio = E/J/spit_eta;
237   if (stepi>10 && !rectx->use_spitzer_eta && (
238         (old_ratio-ratio < 1.e-6))) {
239     rectx->pulse_start = time + 0.98*dt;
240     rectx->use_spitzer_eta = PETSC_TRUE;
241   }
242   PetscCall(TSGetConvergedReason(ts,&reason));
243   PetscCall(TSGetConvergedReason(ts,&reason));
244   if ((rectx->plotting) || stepi == 0 || reason || rectx->pulse_start == time + 0.98*dt) {
245     PetscCall(PetscPrintf(ctx->comm, "testSpitzer: %4D) time=%11.4e n_e= %10.3e E= %10.3e J= %10.3e J_re= %10.3e %.3g%% Te_kev= %10.3e Z_eff=%g E/J to eta ratio= %g (diff=%g) %s %s spit_eta=%g\n",stepi,time,n_e/ctx->n_0,ctx->Ez,J,J_re,100*J_re/J, Te_kev,Z,ratio,old_ratio-ratio, rectx->use_spitzer_eta ? "using Spitzer eta*J E" : "constant E",rectx->pulse_start != time + 0.98*dt ? "normal" : "transition",spit_eta));
246     PetscCheckFalse(rectx->pulse_start == time + 0.98*dt,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"Spitzer complete ratio=%g",ratio);
247   }
248   old_ratio = ratio;
249   PetscFunctionReturn(0);
250 }
251 
252 static const double ppp = 2;
253 static void f0_0_diff_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux,
254                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
255                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
256                           PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
257 {
258   LandauCtx       *ctx = (LandauCtx *)constants;
259   REctx           *rectx = (REctx*)ctx->data;
260   PetscInt        ii = rectx->idx, i;
261   const PetscReal kT_m = ctx->k*ctx->thermal_temps[ii]/ctx->masses[ii]; /* kT/m */
262   const PetscReal n = ctx->n[ii];
263   PetscReal       diff, f_maxwell, v2 = 0, theta = 2*kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
264   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
265   f_maxwell = n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
266   diff = 2.*PETSC_PI*x[0]*(PetscRealPart(u[ii]) - f_maxwell);
267   f0[0] = PetscPowReal(diff,ppp);
268 }
269 static void f0_0_maxwellian_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux,
270                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
271                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
272                           PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
273 {
274   LandauCtx       *ctx = (LandauCtx *)constants;
275   REctx           *rectx = (REctx*)ctx->data;
276   PetscInt        ii = rectx->idx, i;
277   const PetscReal kT_m = ctx->k*ctx->thermal_temps[ii]/ctx->masses[ii]; /* kT/m */
278   const PetscReal n = ctx->n[ii];
279   PetscReal       f_maxwell, v2 = 0, theta = 2*kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
280   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
281   f_maxwell = 2.*PETSC_PI*x[0] * n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
282   f0[0] = PetscPowReal(f_maxwell,ppp);
283 }
284 
285 /*  */
286 static PetscErrorCode testStable(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
287 {
288   PetscDS           prob;
289   Vec               X2;
290   PetscReal         ediff,idiff=0,lpm0,lpm1=1;
291   PetscScalar       tt[LANDAU_MAX_SPECIES];
292   DM                dm, plex = ctx->plex[0];
293 
294   PetscFunctionBeginUser;
295   PetscCall(VecGetDM(X, &dm));
296   PetscCall(DMGetDS(plex, &prob));
297   PetscCall(VecDuplicate(X,&X2));
298   PetscCall(VecCopy(X,X2));
299   if (!rectx->X_0) {
300     PetscCall(VecDuplicate(X,&rectx->X_0));
301     PetscCall(VecCopy(X,rectx->X_0));
302   }
303   PetscCall(VecAXPY(X,-1.0,rectx->X_0));
304   PetscCall(PetscDSSetConstants(prob, sizeof(LandauCtx)/sizeof(PetscScalar), (PetscScalar*)ctx));
305   rectx->idx = 0;
306   PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp));
307   PetscCall(DMPlexComputeIntegralFEM(plex,X2,tt,NULL));
308   ediff = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
309   PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp));
310   PetscCall(DMPlexComputeIntegralFEM(plex,X2,tt,NULL));
311   lpm0 = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
312   if (ctx->num_species>1) {
313     rectx->idx = 1;
314     PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp));
315     PetscCall(DMPlexComputeIntegralFEM(plex,X2,tt,NULL));
316     idiff = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
317     PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp));
318     PetscCall(DMPlexComputeIntegralFEM(plex,X2,tt,NULL));
319     lpm1 = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
320   }
321   PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%s %D) time=%10.3e n-%d norm electrons/max=%20.13e ions/max=%20.13e\n", "----",stepi,time,(int)ppp,ediff/lpm0,idiff/lpm1));
322   /* view */
323   PetscCall(VecCopy(X2,X));
324   PetscCall(VecDestroy(&X2));
325   if (islast) {
326     PetscCall(VecDestroy(&rectx->X_0));
327     rectx->X_0 = NULL;
328   }
329   PetscFunctionReturn(0);
330 }
331 
332 static PetscErrorCode EInduction(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
333 {
334   REctx             *rectx = (REctx*)ctx->data;
335   PetscInt          ii;
336   DM                dm,plex;
337   PetscScalar       tt[LANDAU_MAX_SPECIES], qv0[LANDAU_MAX_SPECIES];
338   PetscReal         dJ_dt;
339   PetscDS           prob;
340 
341   PetscFunctionBeginUser;
342   for (ii=0;ii<ctx->num_species;ii++) qv0[ii] = ctx->charges[ii]*ctx->v_0;
343   PetscCall(VecGetDM(X, &dm));
344   PetscCall(DMGetDS(dm, &prob));
345   PetscCall(DMConvert(dm, DMPLEX, &plex));
346   /* get d current / dt */
347   PetscCall(PetscDSSetConstants(prob, ctx->num_species, qv0));
348   PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
349   PetscCheck(X_t,PETSC_COMM_SELF, PETSC_ERR_PLIB, "X_t");
350   PetscCall(DMPlexComputeIntegralFEM(plex,X_t,tt,NULL));
351   dJ_dt = -ctx->n_0*PetscRealPart(tt[0])/ctx->t_0;
352   /* E induction */
353   *a_E = -rectx->L*dJ_dt + rectx->Ez_initial;
354   PetscCall(DMDestroy(&plex));
355   PetscFunctionReturn(0);
356 }
357 
358 static PetscErrorCode EConstant(Vec X,  Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
359 {
360   PetscFunctionBeginUser;
361   *a_E = ctx->Ez;
362   PetscFunctionReturn(0);
363 }
364 
365 static PetscErrorCode ENone(Vec X,  Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
366 {
367   PetscFunctionBeginUser;
368   *a_E = 0;
369   PetscFunctionReturn(0);
370 }
371 
372 /* ------------------------------------------------------------------- */
373 /*
374    FormSource - Evaluates source terms F(t).
375 
376    Input Parameters:
377 .  ts - the TS context
378 .  time -
379 .  X_dummmy - input vector
380 .  dummy - optional user-defined context, as set by SNESSetFunction()
381 
382    Output Parameter:
383 .  F - function vector
384  */
385 static PetscErrorCode FormSource(TS ts, PetscReal ftime, Vec X_dummmy, Vec F, void *dummy)
386 {
387   PetscReal      new_imp_rate;
388   LandauCtx      *ctx;
389   DM             pack;
390   REctx          *rectx;
391 
392   PetscFunctionBeginUser;
393   PetscCall(TSGetDM(ts,&pack));
394   PetscCall(DMGetApplicationContext(pack, &ctx));
395   rectx = (REctx*)ctx->data;
396   /* check for impurities */
397   PetscCall(rectx->impuritySrcRate(ftime,&new_imp_rate,ctx));
398   if (new_imp_rate != 0) {
399     if (new_imp_rate != rectx->current_rate) {
400       PetscInt       ii;
401       PetscReal      dne_dt,dni_dt,tilda_ns[LANDAU_MAX_SPECIES],temps[LANDAU_MAX_SPECIES];
402       Vec            globFarray[LANDAU_MAX_GRIDS*LANDAU_MAX_BATCH_SZ];
403       rectx->current_rate = new_imp_rate;
404       for (ii=1;ii<LANDAU_MAX_SPECIES;ii++) tilda_ns[ii] = 0;
405       for (ii=1;ii<LANDAU_MAX_SPECIES;ii++)    temps[ii] = 1;
406       dni_dt = new_imp_rate               /* *ctx->t_0 */; /* fully ionized immediately, no normalize, stay in non-dim */
407       dne_dt = new_imp_rate*rectx->Ne_ion /* *ctx->t_0 */;
408       tilda_ns[0] = dne_dt;        tilda_ns[rectx->imp_idx] = dni_dt;
409       temps[0]    = rectx->T_cold;    temps[rectx->imp_idx] = rectx->T_cold;
410       PetscCall(PetscInfo(ctx->plex[0], "\tHave new_imp_rate= %10.3e time= %10.3e de/dt= %10.3e di/dt= %10.3e ***\n",new_imp_rate,ftime,dne_dt,dni_dt));
411       PetscCall(DMCompositeGetAccessArray(pack, F, ctx->num_grids*ctx->batch_sz, NULL, globFarray));
412       for (PetscInt grid=0 ; grid<ctx->num_grids ; grid++) {
413         /* add it */
414         PetscCall(DMPlexLandauAddMaxwellians(ctx->plex[grid],globFarray[ LAND_PACK_IDX(0,grid) ],ftime,temps,tilda_ns,grid,0,ctx));
415         PetscCall(VecViewFromOptions(globFarray[ LAND_PACK_IDX(0,grid) ],NULL,"-vec_view_sources"));
416       }
417       // Does DMCompositeRestoreAccessArray copy the data back? (no)
418       PetscCall(DMCompositeRestoreAccessArray(pack, F, ctx->num_grids*ctx->batch_sz, NULL, globFarray));
419     }
420   } else {
421     PetscCall(VecZeroEntries(F));
422     rectx->current_rate = 0;
423   }
424   PetscFunctionReturn(0);
425 }
426 PetscErrorCode Monitor(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx)
427 {
428   LandauCtx         *ctx = (LandauCtx*) actx;   /* user-defined application context */
429   REctx             *rectx = (REctx*)ctx->data;
430   DM                pack;
431   Vec               globXArray[LANDAU_MAX_GRIDS*LANDAU_MAX_BATCH_SZ];
432   TSConvergedReason reason;
433   PetscFunctionBeginUser;
434   PetscCall(VecGetDM(X, &pack));
435   PetscCall(DMCompositeGetAccessArray(pack, X, ctx->num_grids*ctx->batch_sz, NULL, globXArray));
436   if (stepi > rectx->plotStep && rectx->plotting) {
437     rectx->plotting = PETSC_FALSE; /* was doing diagnostics, now done */
438     rectx->plotIdx++;
439   }
440   /* view */
441   PetscCall(TSGetConvergedReason(ts,&reason));
442   if (time/rectx->plotDt >= (PetscReal)rectx->plotIdx || reason) {
443     if ((reason || stepi==0 || rectx->plotIdx%rectx->print_period==0) && ctx->verbose > 0) {
444       /* print norms */
445       PetscCall(DMPlexLandauPrintNorms(X, stepi));
446     }
447     if (!rectx->plotting) { /* first step of possible backtracks */
448       rectx->plotting = PETSC_TRUE;
449       /* diagnostics + change E field with Sptizer (not just a monitor) */
450       PetscCall(rectx->test(ts,X,stepi,time,reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx));
451     } else {
452       PetscPrintf(PETSC_COMM_WORLD, "\t\t ERROR SKIP test spit ------\n");
453       rectx->plotting = PETSC_TRUE;
454     }
455     PetscCall(PetscObjectSetName((PetscObject) globXArray[ LAND_PACK_IDX(ctx->batch_view_idx,rectx->grid_view_idx) ], rectx->grid_view_idx==0 ? "ue" : "ui"));
456     /* view, overwrite step when back tracked */
457     PetscCall(DMSetOutputSequenceNumber(pack, rectx->plotIdx, time*ctx->t_0));
458     PetscCall(VecViewFromOptions(globXArray[ LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx) ],NULL,"-vec_view"));
459 
460     rectx->plotStep = stepi;
461   } else {
462     if (rectx->plotting) PetscPrintf(PETSC_COMM_WORLD," ERROR rectx->plotting=%D step %D\n",rectx->plotting,stepi);
463     /* diagnostics + change E field with Sptizer (not just a monitor) - can we lag this? */
464     PetscCall(rectx->test(ts,X,stepi,time,reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx));
465   }
466   /* parallel check that only works of all batches are identical */
467   if (reason && ctx->verbose > 3) {
468     PetscReal    val,rval;
469     PetscMPIInt  rank;
470     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
471     for (PetscInt grid=0;grid<ctx->num_grids;grid++) {
472       PetscInt nerrors=0;
473       for (PetscInt i=0; i<ctx->batch_sz;i++) {
474         PetscCall(VecNorm(globXArray[ LAND_PACK_IDX(i,grid) ],NORM_2,&val));
475         if (i==0) rval = val;
476         else if ((val=PetscAbs(val-rval)/rval) > 1000*PETSC_MACHINE_EPSILON) {
477           PetscCall(PetscPrintf(PETSC_COMM_SELF, " [%D] Warning %D.%D) diff = %2.15e\n",rank,grid,i,val));
478           nerrors++;
479         }
480       }
481       if (nerrors) {
482         PetscCall(PetscPrintf(PETSC_COMM_SELF, " ***** [%D] ERROR max %D errors\n",rank,nerrors));
483       } else {
484         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "[%D] %D) batch consistency check OK\n",rank,grid));
485       }
486     }
487   }
488   rectx->idx = 0;
489   PetscCall(DMCompositeRestoreAccessArray(pack, X, ctx->num_grids*ctx->batch_sz, NULL, globXArray));
490   PetscFunctionReturn(0);
491 }
492 
493 PetscErrorCode PreStep(TS ts)
494 {
495   LandauCtx      *ctx;
496   REctx          *rectx;
497   DM             dm;
498   PetscInt       stepi;
499   PetscReal      time;
500   Vec            X;
501 
502   PetscFunctionBeginUser;
503   /* not used */
504   PetscCall(TSGetDM(ts,&dm));
505   PetscCall(TSGetTime(ts,&time));
506   PetscCall(TSGetSolution(ts,&X));
507   PetscCall(DMGetApplicationContext(dm, &ctx));
508   rectx = (REctx*)ctx->data;
509   PetscCall(TSGetStepNumber(ts, &stepi));
510   /* update E */
511   PetscCall(rectx->E(X, NULL, stepi, time, ctx, &ctx->Ez));
512   PetscFunctionReturn(0);
513 }
514 
515 /* model for source of non-ionized impurities, profile provided by model, in du/dt form in normalized units (tricky because n_0 is normalized with electrons) */
516 static PetscErrorCode stepSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
517 {
518   REctx         *rectx = (REctx*)ctx->data;
519 
520   PetscFunctionBeginUser;
521   if (time >= rectx->pulse_start) *rho = rectx->pulse_rate;
522   else *rho = 0.;
523   PetscFunctionReturn(0);
524 }
525 static PetscErrorCode zeroSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
526 {
527   PetscFunctionBeginUser;
528   *rho = 0.;
529   PetscFunctionReturn(0);
530 }
531 static PetscErrorCode pulseSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
532 {
533   REctx *rectx = (REctx*)ctx->data;
534 
535   PetscFunctionBeginUser;
536   PetscCheck(rectx->pulse_start != PETSC_MAX_REAL,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"'-ex2_pulse_start_time X' must be used with '-ex2_impurity_source_type pulse'");
537   if (time < rectx->pulse_start || time > rectx->pulse_start + 3*rectx->pulse_width) *rho = 0;
538   /* else if (0) { */
539   /*   double t = time - rectx->pulse_start, start = rectx->pulse_width, stop = 2*rectx->pulse_width, cycle = 3*rectx->pulse_width, steep = 5, xi = 0.75 - (stop - start)/(2* cycle); */
540   /*   *rho = rectx->pulse_rate * (cycle / (stop - start)) / (1 + PetscExpReal(steep*(PetscSinReal(2*PETSC_PI*((t - start)/cycle + xi)) - PetscSinReal(2*PETSC_PI*xi)))); */
541   /* } else if (0) { */
542   /*   double x = 2*(time - rectx->pulse_start)/(3*rectx->pulse_width) - 1; */
543   /*   if (x==1 || x==-1) *rho = 0; */
544   /*   else *rho = rectx->pulse_rate * PetscExpReal(-1/(1-x*x)); */
545   /* } */
546   else {
547     double x = PetscSinReal((time-rectx->pulse_start)/(3*rectx->pulse_width)*2*PETSC_PI - PETSC_PI/2) + 1; /* 0:2, integrates to 1.0 */
548     *rho = rectx->pulse_rate * x / (3*rectx->pulse_width);
549     if (!rectx->use_spitzer_eta) rectx->use_spitzer_eta = PETSC_TRUE; /* use it next time */
550   }
551   PetscFunctionReturn(0);
552 }
553 
554 #undef __FUNCT__
555 #define __FUNCT__ "ProcessREOptions"
556 static PetscErrorCode ProcessREOptions(REctx *rectx, const LandauCtx *ctx, DM dm, const char prefix[])
557 {
558   PetscErrorCode    ierr;
559   PetscFunctionList plist = NULL, testlist = NULL, elist = NULL;
560   char              pname[256],testname[256],ename[256];
561   DM                dm_dummy;
562   PetscBool         Connor_E = PETSC_FALSE;
563 
564   PetscFunctionBeginUser;
565   PetscCall(DMCreate(PETSC_COMM_WORLD,&dm_dummy));
566   rectx->Ne_ion = 1;                 /* number of electrons given up by impurity ion */
567   rectx->T_cold = .005;              /* kev */
568   rectx->ion_potential = 15;         /* ev */
569   rectx->L = 2;
570   rectx->X_0 = NULL;
571   rectx->imp_idx = ctx->num_species - 1; /* default ionized impurity as last one */
572   rectx->pulse_start = PETSC_MAX_REAL;
573   rectx->pulse_width = 1;
574   rectx->plotStep = PETSC_MAX_INT;
575   rectx->pulse_rate = 1.e-1;
576   rectx->current_rate = 0;
577   rectx->plotIdx = 0;
578   rectx->j = 0;
579   rectx->plotDt = 1.0;
580   rectx->plotting = PETSC_FALSE;
581   rectx->use_spitzer_eta = PETSC_FALSE;
582   rectx->idx = 0;
583   rectx->print_period = 10;
584   rectx->grid_view_idx = 0;
585   /* Register the available impurity sources */
586   PetscCall(PetscFunctionListAdd(&plist,"step",&stepSrc));
587   PetscCall(PetscFunctionListAdd(&plist,"none",&zeroSrc));
588   PetscCall(PetscFunctionListAdd(&plist,"pulse",&pulseSrc));
589   PetscCall(PetscStrcpy(pname,"none"));
590   PetscCall(PetscFunctionListAdd(&testlist,"none",&testNone));
591   PetscCall(PetscFunctionListAdd(&testlist,"spitzer",&testSpitzer));
592   PetscCall(PetscFunctionListAdd(&testlist,"stable",&testStable));
593   PetscCall(PetscStrcpy(testname,"none"));
594   PetscCall(PetscFunctionListAdd(&elist,"none",&ENone));
595   PetscCall(PetscFunctionListAdd(&elist,"induction",&EInduction));
596   PetscCall(PetscFunctionListAdd(&elist,"constant",&EConstant));
597   PetscCall(PetscStrcpy(ename,"constant"));
598 
599   ierr = PetscOptionsBegin(PETSC_COMM_SELF, prefix, "Options for Runaway/seed electron model", "none");PetscCall(ierr);
600   PetscCall(PetscOptionsReal("-ex2_plot_dt", "Plotting interval", "ex2.c", rectx->plotDt, &rectx->plotDt, NULL));
601   if (rectx->plotDt < 0) rectx->plotDt = 1e30;
602   if (rectx->plotDt == 0) rectx->plotDt = 1e-30;
603   PetscCall(PetscOptionsInt("-ex2_print_period", "Plotting interval", "ex2.c", rectx->print_period, &rectx->print_period, NULL));
604   PetscCall(PetscOptionsInt("-ex2_grid_view_idx", "grid_view_idx", "ex2.c", rectx->grid_view_idx, &rectx->grid_view_idx, NULL));
605   PetscCheck(rectx->grid_view_idx < ctx->num_grids,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"rectx->grid_view_idx (%D) >= ctx->num_grids (%D)",rectx->imp_idx,ctx->num_grids);
606   PetscCall(PetscOptionsFList("-ex2_impurity_source_type","Name of impurity source to run","",plist,pname,pname,sizeof(pname),NULL));
607   PetscCall(PetscOptionsFList("-ex2_test_type","Name of test to run","",testlist,testname,testname,sizeof(testname),NULL));
608   PetscCall(PetscOptionsInt("-ex2_impurity_index", "index of sink for impurities", "none", rectx->imp_idx, &rectx->imp_idx, NULL));
609   PetscCheckFalse((rectx->imp_idx >= ctx->num_species || rectx->imp_idx < 1) && ctx->num_species > 1,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"index of sink for impurities ions is out of range (%D), must be > 0 && < NS",rectx->imp_idx);
610   PetscCall(PetscOptionsFList("-ex2_e_field_type","Electric field type","",elist,ename,ename,sizeof(ename),NULL));
611   rectx->Ne_ion = -ctx->charges[rectx->imp_idx]/ctx->charges[0];
612   PetscCall(PetscOptionsReal("-ex2_t_cold","Temperature of cold electron and ions after ionization in keV","none",rectx->T_cold,&rectx->T_cold, NULL));
613   PetscCall(PetscOptionsReal("-ex2_pulse_start_time","Time at which pulse happens for 'pulse' source","none",rectx->pulse_start,&rectx->pulse_start, NULL));
614   PetscCall(PetscOptionsReal("-ex2_pulse_width_time","Width of pulse 'pulse' source","none",rectx->pulse_width,&rectx->pulse_width, NULL));
615   PetscCall(PetscOptionsReal("-ex2_pulse_rate","Number density of pulse for 'pulse' source","none",rectx->pulse_rate,&rectx->pulse_rate, NULL));
616   rectx->T_cold *= 1.16e7; /* convert to Kelvin */
617   PetscCall(PetscOptionsReal("-ex2_ion_potential","Potential to ionize impurity (should be array) in ev","none",rectx->ion_potential,&rectx->ion_potential, NULL));
618   PetscCall(PetscOptionsReal("-ex2_inductance","Inductance E feild","none",rectx->L,&rectx->L, NULL));
619   PetscCall(PetscOptionsBool("-ex2_connor_e_field_units","Scale Ex but Connor-Hastie E_c","none",Connor_E,&Connor_E, NULL));
620   PetscCall(PetscInfo(dm_dummy, "Num electrons from ions=%g, T_cold=%10.3e, ion potential=%10.3e, E_z=%10.3e v_0=%10.3e\n",rectx->Ne_ion,rectx->T_cold,rectx->ion_potential,ctx->Ez,ctx->v_0));
621   ierr = PetscOptionsEnd();PetscCall(ierr);
622   /* get impurity source rate function */
623   PetscCall(PetscFunctionListFind(plist,pname,&rectx->impuritySrcRate));
624   PetscCheck(rectx->impuritySrcRate,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No impurity source function found '%s'",pname);
625   PetscCall(PetscFunctionListFind(testlist,testname,&rectx->test));
626   PetscCheck(rectx->test,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No test found '%s'",testname);
627   PetscCall(PetscFunctionListFind(elist,ename,&rectx->E));
628   PetscCheck(rectx->E,PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No E field function found '%s'",ename);
629   PetscCall(PetscFunctionListDestroy(&plist));
630   PetscCall(PetscFunctionListDestroy(&testlist));
631   PetscCall(PetscFunctionListDestroy(&elist));
632 
633   /* convert E from Connor-Hastie E_c units to real if doing Spitzer E */
634   if (Connor_E) {
635     PetscReal E = ctx->Ez, Tev = ctx->thermal_temps[0]*8.621738e-5, n = ctx->n_0*ctx->n[0];
636     CalculateE(Tev, n, ctx->lnLam, ctx->epsilon0, &E);
637     ((LandauCtx*)ctx)->Ez *= E;
638   }
639   PetscCall(DMDestroy(&dm_dummy));
640   PetscFunctionReturn(0);
641 }
642 
643 int main(int argc, char **argv)
644 {
645   DM             pack;
646   Vec            X,*XsubArray;
647   PetscInt       dim = 2, nDMs;
648   TS             ts;
649   Mat            J;
650   PetscDS        prob;
651   LandauCtx      *ctx;
652   REctx          *rectx;
653 #if defined PETSC_USE_LOG
654   PetscLogStage  stage;
655 #endif
656   PetscMPIInt    rank;
657 #if defined(PETSC_HAVE_THREADSAFETY)
658   double         starttime, endtime;
659 #endif
660   PetscCall(PetscInitialize(&argc, &argv, NULL,help));
661   PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
662   if (rank) { /* turn off output stuff for duplicate runs */
663     PetscCall(PetscOptionsClearValue(NULL,"-dm_view"));
664     PetscCall(PetscOptionsClearValue(NULL,"-vec_view"));
665     PetscCall(PetscOptionsClearValue(NULL,"-dm_view_diff"));
666     PetscCall(PetscOptionsClearValue(NULL,"-vec_view_diff"));
667     PetscCall(PetscOptionsClearValue(NULL,"-dm_view_sources"));
668     PetscCall(PetscOptionsClearValue(NULL,"-vec_view_0"));
669     PetscCall(PetscOptionsClearValue(NULL,"-dm_view_0"));
670     PetscCall(PetscOptionsClearValue(NULL,"-vec_view_sources"));
671     PetscCall(PetscOptionsClearValue(NULL,"-info")); /* this does not work */
672   }
673   PetscCall(PetscOptionsGetInt(NULL,NULL, "-dim", &dim, NULL));
674   /* Create a mesh */
675   PetscCall(DMPlexLandauCreateVelocitySpace(PETSC_COMM_WORLD, dim, "", &X, &J, &pack));
676   PetscCall(DMCompositeGetNumberDM(pack,&nDMs));
677   PetscCall(PetscMalloc(sizeof(*XsubArray)*nDMs, &XsubArray));
678   PetscCall(PetscObjectSetName((PetscObject)J, "Jacobian"));
679   PetscCall(PetscObjectSetName((PetscObject)X, "f"));
680   PetscCall(DMGetApplicationContext(pack, &ctx));
681   PetscCall(DMSetUp(pack));
682   /* context */
683   PetscCall(PetscNew(&rectx));
684   ctx->data = rectx;
685   PetscCall(ProcessREOptions(rectx,ctx,pack,""));
686   PetscCall(DMGetDS(pack, &prob));
687   PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
688   PetscCall(PetscObjectSetName((PetscObject) XsubArray[ LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx) ], rectx->grid_view_idx==0 ? "ue" : "ui"));
689   PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx],NULL,"-dm_view"));
690   PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx], NULL,"-dm_view_0"));
691   PetscCall(VecViewFromOptions(XsubArray[ LAND_PACK_IDX(ctx->batch_view_idx,rectx->grid_view_idx) ], NULL,"-vec_view_0")); // initial condition (monitor plots after step)
692   PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
693   PetscCall(PetscFree(XsubArray));
694   PetscCall(VecViewFromOptions(X, NULL,"-vec_view_global")); // initial condition (monitor plots after step)
695   PetscCall(DMSetOutputSequenceNumber(pack, 0, 0.0));
696   /* Create timestepping solver context */
697   PetscCall(TSCreate(PETSC_COMM_SELF,&ts));
698   PetscCall(TSSetDM(ts,pack));
699   PetscCall(TSSetIFunction(ts,NULL,DMPlexLandauIFunction,NULL));
700   PetscCall(TSSetIJacobian(ts,J,J,DMPlexLandauIJacobian,NULL));
701   PetscCall(TSSetRHSFunction(ts,NULL,FormSource,NULL));
702   PetscCall(TSSetFromOptions(ts));
703   PetscCall(TSSetSolution(ts,X));
704   PetscCall(TSSetApplicationContext(ts, ctx));
705   PetscCall(TSMonitorSet(ts,Monitor,ctx,NULL));
706   PetscCall(TSSetPreStep(ts,PreStep));
707   rectx->Ez_initial = ctx->Ez;       /* cache for induction caclulation - applied E field */
708   if (1) { /* warm up an test just DMPlexLandauIJacobian */
709     Vec           vec;
710     PetscInt      nsteps;
711     PetscReal     dt;
712     PetscCall(PetscLogStageRegister("Warmup", &stage));
713     PetscCall(PetscLogStagePush(stage));
714     PetscCall(VecDuplicate(X,&vec));
715     PetscCall(VecCopy(X,vec));
716     PetscCall(TSGetMaxSteps(ts,&nsteps));
717     PetscCall(TSGetTimeStep(ts,&dt));
718     PetscCall(TSSetMaxSteps(ts,1));
719     PetscCall(TSSolve(ts,X));
720     PetscCall(TSSetMaxSteps(ts,nsteps));
721     PetscCall(TSSetStepNumber(ts,0));
722     PetscCall(TSSetTime(ts,0));
723     PetscCall(TSSetTimeStep(ts,dt));
724     rectx->plotIdx = 0;
725     rectx->plotting = PETSC_FALSE;
726     PetscCall(PetscLogStagePop());
727     PetscCall(VecCopy(vec,X));
728     PetscCall(VecDestroy(&vec));
729     ctx->aux_bool = PETSC_FALSE; // flag for not a clean Jacobian
730   }
731   /* go */
732   PetscCall(PetscLogStageRegister("Solve", &stage));
733   ctx->stage = 0; // lets not use this stage
734 #if defined(PETSC_HAVE_THREADSAFETY)
735   ctx->stage = 1; // not set with thread safety
736 #endif
737   PetscCall(TSSetSolution(ts,X));
738   PetscCall(PetscLogStagePush(stage));
739 #if defined(PETSC_HAVE_THREADSAFETY)
740   starttime = MPI_Wtime();
741 #endif
742   PetscCall(TSSolve(ts,X));
743   PetscCall(PetscLogStagePop());
744 #if defined(PETSC_HAVE_THREADSAFETY)
745   endtime = MPI_Wtime();
746   ctx->times[LANDAU_EX2_TSSOLVE] += (endtime - starttime);
747 #endif
748   PetscCall(VecViewFromOptions(X, NULL,"-vec_view_global"));
749   /* clean up */
750   PetscCall(DMPlexLandauDestroyVelocitySpace(&pack));
751   PetscCall(TSDestroy(&ts));
752   PetscCall(VecDestroy(&X));
753   PetscCall(PetscFree(rectx));
754   PetscCall(PetscFinalize());
755   return 0;
756 }
757 
758 /*TEST
759 
760   testset:
761     requires: p4est !complex double
762     output_file: output/ex2_0.out
763     args: -dm_landau_num_species_grid 1,1 -dm_landau_Ez 0 -petscspace_degree 3 -petscspace_poly_tensor 1 -dm_landau_type p4est -dm_landau_ion_masses 2 -dm_landau_ion_charges 1 -dm_landau_thermal_temps 5,5 -dm_landau_n 2,2 -dm_landau_n_0 5e19 -ts_monitor -snes_rtol 1.e-10 -snes_stol 1.e-14 -snes_monitor -snes_converged_reason -snes_max_it 10 -ts_type arkimex -ts_arkimex_type 1bee -ts_max_snes_failures -1 -ts_rtol 1e-3 -ts_dt 1.e-1 -ts_max_time 1 -ts_adapt_clip .5,1.25 -ts_max_steps 2 -ts_adapt_scale_solve_failed 0.75 -ts_adapt_time_step_increase_delay 5 -ksp_type tfqmr -pc_type jacobi -dm_landau_amr_levels_max 2,2 -ex2_impurity_source_type pulse -ex2_pulse_start_time 1e-1 -ex2_pulse_width_time 10 -ex2_pulse_rate 1e-2 -ex2_t_cold .05 -ex2_plot_dt 1e-1 -dm_refine 0 -dm_landau_gpu_assembly true -dm_landau_batch_size 2
764     test:
765       suffix: cpu
766       args: -dm_landau_device_type cpu -ksp_pc_side right
767     test:
768       suffix: kokkos
769       requires: kokkos_kernels
770       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_pc_side right
771     test:
772       suffix: cuda
773       requires: cuda
774       args: -dm_landau_device_type cuda -dm_mat_type aijcusparse -dm_vec_type cuda -mat_cusparse_use_cpu_solve -ksp_pc_side right
775     test:
776       suffix: kokkos_batch
777       requires: kokkos_kernels
778       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type preonly -pc_type bjkokkos -pc_bjkokkos_ksp_type tfqmr -pc_bjkokkos_pc_type jacobi
779     test:
780       suffix: kokkos_batch_coo
781       requires: kokkos_kernels
782       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type preonly -pc_type bjkokkos -pc_bjkokkos_ksp_type tfqmr -pc_bjkokkos_pc_type jacobi -dm_landau_coo_assembly
783 
784 TEST*/
785