xref: /petsc/src/ts/utils/dmplexlandau/tutorials/ex2.c (revision 0619917b5a674bb687c64e7daba2ab22be99af31)
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 #include "petsc/private/petscimpl.h"
9 
10 #if defined(PETSC_HAVE_CUDA_NVTX)
11   #include <nvToolsExt.h>
12 #endif
13 
14 /* data for runaway electron model */
15 typedef struct REctx_struct {
16   PetscErrorCode (*test)(TS, Vec, PetscInt, PetscReal, PetscBool, LandauCtx *, struct REctx_struct *);
17   PetscErrorCode (*impuritySrcRate)(PetscReal, PetscReal *, LandauCtx *);
18   PetscErrorCode (*E)(Vec, Vec, PetscInt, PetscReal, LandauCtx *, PetscReal *);
19   PetscReal T_cold;        /* temperature of newly ionized electrons and impurity ions */
20   PetscReal ion_potential; /* ionization potential of impurity */
21   PetscReal Ne_ion;        /* effective number of electrons shed in ioization of impurity */
22   PetscReal Ez_initial;
23   PetscReal L; /* inductance */
24   Vec       X_0;
25   PetscInt  imp_idx; /* index for impurity ionizing sink */
26   PetscReal pulse_start;
27   PetscReal pulse_width;
28   PetscReal pulse_rate;
29   PetscReal current_rate;
30   PetscInt  plotIdx;
31   PetscInt  plotStep;
32   PetscInt  idx; /* cache */
33   PetscReal j;   /* cache */
34   PetscReal plotDt;
35   PetscBool plotting;
36   PetscBool use_spitzer_eta;
37   PetscInt  print_period;
38   PetscInt  grid_view_idx;
39 } REctx;
40 
41 static const PetscReal kev_joul = 6.241506479963235e+15; /* 1/1000e */
42 
43 #define RE_CUT 3.
44 /* < v, u_re * v * q > */
45 static void f0_j_re(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
46 {
47   PetscReal n_e = PetscRealPart(u[0]);
48   if (dim == 2) {
49     if (x[1] > RE_CUT || x[1] < -RE_CUT) {                    /* simply a cutoff for REs. v_|| > 3 v(T_e) */
50       *f0 = n_e * 2. * PETSC_PI * x[0] * x[1] * constants[0]; /* n * r * v_|| * q */
51     } else {
52       *f0 = 0;
53     }
54   } else {
55     if (x[2] > RE_CUT || x[2] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */
56       *f0 = n_e * x[2] * constants[0];
57     } else {
58       *f0 = 0;
59     }
60   }
61 }
62 
63 /* sum < v, u*v*q > */
64 static void f0_jz_sum(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar q[], PetscScalar *f0)
65 {
66   PetscInt ii;
67   f0[0] = 0;
68   if (dim == 2) {
69     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 */
70   } else {
71     for (ii = 0; ii < Nf; ii++) f0[0] += u[ii] * x[2] * q[ii]; /* n * v_|| * q  * v_0 */
72   }
73 }
74 
75 /* < v, n_e > */
76 static void f0_n(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
77 {
78   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
79   if (dim == 2) f0[0] = 2. * PETSC_PI * x[0] * u[ii];
80   else f0[0] = u[ii];
81 }
82 
83 /* < v, n_e v_|| > */
84 static void f0_vz(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
85 {
86   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
87   if (dim == 2) f0[0] = u[ii] * 2. * PETSC_PI * x[0] * x[1]; /* n r v_|| */
88   else f0[0] = u[ii] * x[2];                                 /* n v_|| */
89 }
90 
91 /* < v, n_e (v-shift) > */
92 static void f0_ve_shift(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
93 {
94   PetscReal vz = numConstants > 0 ? PetscRealPart(constants[0]) : 0;
95   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 */
96   else {
97     *f0 = u[0] * PetscSqrtReal(x[0] * x[0] + x[1] * x[1] + (x[2] - vz) * (x[2] - vz)); /* n v */
98   }
99 }
100 
101 /* CalculateE - Calculate the electric field  */
102 /*  T        -- Electron temperature  */
103 /*  n        -- Electron density  */
104 /*  lnLambda --   */
105 /*  eps0     --  */
106 /*  E        -- output E, input \hat E */
107 static PetscReal CalculateE(PetscReal Tev, PetscReal n, PetscReal lnLambda, PetscReal eps0, PetscReal *E)
108 {
109   PetscReal c, e, m;
110 
111   PetscFunctionBegin;
112   c = 299792458.0;
113   e = 1.602176e-19;
114   m = 9.10938e-31;
115   if (1) {
116     double Ec, Ehat = *E, betath = PetscSqrtReal(2 * Tev * e / (m * c * c)), j0 = Ehat * 7 / (PetscSqrtReal(2) * 2) * PetscPowReal(betath, 3) * n * e * c;
117     Ec = n * lnLambda * PetscPowReal(e, 3) / (4 * PETSC_PI * PetscPowReal(eps0, 2) * m * c * c);
118     *E = Ec;
119     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "CalculateE j0=%g Ec = %g\n", j0, Ec));
120   } else {
121     PetscReal Ed, vth;
122     vth = PetscSqrtReal(8 * Tev * e / (m * PETSC_PI));
123     Ed  = n * lnLambda * PetscPowReal(e, 3) / (4 * PETSC_PI * PetscPowReal(eps0, 2) * m * vth * vth);
124     *E  = Ed;
125   }
126   PetscFunctionReturn(PETSC_SUCCESS);
127 }
128 
129 static PetscReal Spitzer(PetscReal m_e, PetscReal e, PetscReal Z, PetscReal epsilon0, PetscReal lnLam, PetscReal kTe_joules)
130 {
131   PetscReal Fz = (1 + 1.198 * Z + 0.222 * Z * Z) / (1 + 2.966 * Z + 0.753 * Z * Z), eta;
132   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);
133   return eta;
134 }
135 
136 /*  */
137 static PetscErrorCode testNone(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
138 {
139   PetscFunctionBeginUser;
140   PetscFunctionReturn(PETSC_SUCCESS);
141 }
142 
143 /*  */
144 static PetscErrorCode testSpitzer(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
145 {
146   PetscInt          ii, nDMs;
147   PetscDS           prob;
148   static PetscReal  old_ratio = 1e10;
149   TSConvergedReason reason;
150   PetscReal         J, J_re, spit_eta, Te_kev = 0, E, ratio, Z, n_e, v, v2;
151   PetscScalar       user[2] = {0., ctx->charges[0]}, q[LANDAU_MAX_SPECIES], tt[LANDAU_MAX_SPECIES], vz;
152   PetscReal         dt;
153   DM                pack, plexe = ctx->plex[0], plexi = (ctx->num_grids == 1) ? NULL : ctx->plex[1];
154   Vec              *XsubArray;
155 
156   PetscFunctionBeginUser;
157   PetscCheck(ctx->num_species == 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "ctx->num_species %" PetscInt_FMT " != 2", ctx->num_species);
158   PetscCall(VecGetDM(X, &pack));
159   PetscCheck(pack, PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM");
160   PetscCall(DMCompositeGetNumberDM(pack, &nDMs));
161   PetscCheck(nDMs == ctx->num_grids * ctx->batch_sz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "nDMs != ctx->num_grids*ctx->batch_sz %" PetscInt_FMT " != %" PetscInt_FMT, nDMs, ctx->num_grids * ctx->batch_sz);
162   PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray));
163   PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
164   PetscCall(TSGetTimeStep(ts, &dt));
165   /* get current for each grid */
166   for (ii = 0; ii < ctx->num_species; ii++) q[ii] = ctx->charges[ii];
167   PetscCall(DMGetDS(plexe, &prob));
168   PetscCall(PetscDSSetConstants(prob, 2, &q[0]));
169   PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
170   PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL));
171   J = -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]);
172   if (plexi) { // add first (only) ion
173     PetscCall(DMGetDS(plexi, &prob));
174     PetscCall(PetscDSSetConstants(prob, 1, &q[1]));
175     PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
176     PetscCall(DMPlexComputeIntegralFEM(plexi, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 1)], tt, NULL));
177     J += -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]);
178   }
179   /* get N_e */
180   PetscCall(DMGetDS(plexe, &prob));
181   PetscCall(PetscDSSetConstants(prob, 1, user));
182   PetscCall(PetscDSSetObjective(prob, 0, &f0_n));
183   PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL));
184   n_e = PetscRealPart(tt[0]) * ctx->n_0;
185   /* Z */
186   Z = -ctx->charges[1] / ctx->charges[0];
187   /* remove drift */
188   if (0) {
189     user[0] = 0; // electrons
190     PetscCall(DMGetDS(plexe, &prob));
191     PetscCall(PetscDSSetConstants(prob, 1, user));
192     PetscCall(PetscDSSetObjective(prob, 0, &f0_vz));
193     PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL));
194     vz = ctx->n_0 * PetscRealPart(tt[0]) / n_e; /* non-dimensional */
195   } else vz = 0;
196   /* thermal velocity */
197   PetscCall(DMGetDS(plexe, &prob));
198   PetscCall(PetscDSSetConstants(prob, 1, &vz));
199   PetscCall(PetscDSSetObjective(prob, 0, &f0_ve_shift));
200   PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL));
201   v        = ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]) / n_e;                                                   /* remove number density to get velocity */
202   v2       = PetscSqr(v);                                                                                        /* use real space: m^2 / s^2 */
203   Te_kev   = (v2 * ctx->masses[0] * PETSC_PI / 8) * kev_joul;                                                    /* temperature in kev */
204   spit_eta = Spitzer(ctx->masses[0], -ctx->charges[0], Z, ctx->epsilon0, ctx->lambdas[0][1], Te_kev / kev_joul); /* kev --> J (kT) */
205   if (0) {
206     PetscCall(DMGetDS(plexe, &prob));
207     PetscCall(PetscDSSetConstants(prob, 1, q));
208     PetscCall(PetscDSSetObjective(prob, 0, &f0_j_re));
209     PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL));
210   } else tt[0] = 0;
211   J_re = -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]);
212   PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
213   PetscCall(PetscFree(XsubArray));
214 
215   if (rectx->use_spitzer_eta) {
216     E = ctx->Ez = spit_eta * (rectx->j - J_re);
217   } else {
218     E        = ctx->Ez; /* keep real E */
219     rectx->j = J;       /* cache */
220   }
221 
222   ratio = E / J / spit_eta;
223   if (stepi > 10 && !rectx->use_spitzer_eta && ((old_ratio - ratio < 1.e-6))) {
224     rectx->pulse_start     = time + 0.98 * dt;
225     rectx->use_spitzer_eta = PETSC_TRUE;
226   }
227   PetscCall(TSGetConvergedReason(ts, &reason));
228   PetscCall(TSGetConvergedReason(ts, &reason));
229   if ((rectx->plotting) || stepi == 0 || reason || rectx->pulse_start == time + 0.98 * dt) {
230     PetscCall(PetscPrintf(ctx->comm, "testSpitzer: %4" PetscInt_FMT ") 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, (double)time,
231                           (double)(n_e / ctx->n_0), (double)ctx->Ez, (double)J, (double)J_re, (double)(100 * J_re / J), (double)Te_kev, (double)Z, (double)ratio, (double)(old_ratio - ratio), rectx->use_spitzer_eta ? "using Spitzer eta*J E" : "constant E", rectx->pulse_start != time + 0.98 * dt ? "normal" : "transition", (double)spit_eta));
232     PetscCheck(rectx->pulse_start != (time + 0.98 * dt), PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "Spitzer complete ratio=%g", (double)ratio);
233   }
234   old_ratio = ratio;
235   PetscFunctionReturn(PETSC_SUCCESS);
236 }
237 
238 static const double ppp = 2;
239 static void f0_0_diff_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
240 {
241   LandauCtx      *ctx   = (LandauCtx *)constants;
242   REctx          *rectx = (REctx *)ctx->data;
243   PetscInt        ii    = rectx->idx, i;
244   const PetscReal kT_m  = ctx->k * ctx->thermal_temps[ii] / ctx->masses[ii]; /* kT/m */
245   const PetscReal n     = ctx->n[ii];
246   PetscReal       diff, f_maxwell, v2 = 0, theta = 2 * kT_m / (ctx->v_0 * ctx->v_0); /* theta = 2kT/mc^2 */
247   for (i = 0; i < dim; ++i) v2 += x[i] * x[i];
248   f_maxwell = n * PetscPowReal(PETSC_PI * theta, -1.5) * (PetscExpReal(-v2 / theta));
249   diff      = 2. * PETSC_PI * x[0] * (PetscRealPart(u[ii]) - f_maxwell);
250   f0[0]     = PetscPowReal(diff, ppp);
251 }
252 static void f0_0_maxwellian_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
253 {
254   LandauCtx      *ctx   = (LandauCtx *)constants;
255   REctx          *rectx = (REctx *)ctx->data;
256   PetscInt        ii    = rectx->idx, i;
257   const PetscReal kT_m  = ctx->k * ctx->thermal_temps[ii] / ctx->masses[ii]; /* kT/m */
258   const PetscReal n     = ctx->n[ii];
259   PetscReal       f_maxwell, v2 = 0, theta = 2 * kT_m / (ctx->v_0 * ctx->v_0); /* theta = 2kT/mc^2 */
260   for (i = 0; i < dim; ++i) v2 += x[i] * x[i];
261   f_maxwell = 2. * PETSC_PI * x[0] * n * PetscPowReal(PETSC_PI * theta, -1.5) * (PetscExpReal(-v2 / theta));
262   f0[0]     = PetscPowReal(f_maxwell, ppp);
263 }
264 
265 /*  */
266 static PetscErrorCode testStable(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
267 {
268   PetscDS     prob;
269   Vec         X2;
270   PetscReal   ediff, idiff = 0, lpm0, lpm1 = 1;
271   PetscScalar tt[LANDAU_MAX_SPECIES];
272   DM          dm, plex = ctx->plex[0];
273 
274   PetscFunctionBeginUser;
275   PetscCall(VecGetDM(X, &dm));
276   PetscCall(DMGetDS(plex, &prob));
277   PetscCall(VecDuplicate(X, &X2));
278   PetscCall(VecCopy(X, X2));
279   if (!rectx->X_0) {
280     PetscCall(VecDuplicate(X, &rectx->X_0));
281     PetscCall(VecCopy(X, rectx->X_0));
282   }
283   PetscCall(VecAXPY(X, -1.0, rectx->X_0));
284   PetscCall(PetscDSSetConstants(prob, sizeof(LandauCtx) / sizeof(PetscScalar), (PetscScalar *)ctx));
285   rectx->idx = 0;
286   PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp));
287   PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL));
288   ediff = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp);
289   PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp));
290   PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL));
291   lpm0 = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp);
292   if (ctx->num_species > 1) {
293     rectx->idx = 1;
294     PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp));
295     PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL));
296     idiff = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp);
297     PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp));
298     PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL));
299     lpm1 = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp);
300   }
301   PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%s %" PetscInt_FMT ") time=%10.3e n-%d norm electrons/max=%20.13e ions/max=%20.13e\n", "----", stepi, (double)time, (int)ppp, (double)(ediff / lpm0), (double)(idiff / lpm1)));
302   /* view */
303   PetscCall(VecCopy(X2, X));
304   PetscCall(VecDestroy(&X2));
305   if (islast) {
306     PetscCall(VecDestroy(&rectx->X_0));
307     rectx->X_0 = NULL;
308   }
309   PetscFunctionReturn(PETSC_SUCCESS);
310 }
311 
312 static PetscErrorCode EInduction(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
313 {
314   REctx      *rectx = (REctx *)ctx->data;
315   PetscInt    ii;
316   DM          dm, plex;
317   PetscScalar tt[LANDAU_MAX_SPECIES], qv0[LANDAU_MAX_SPECIES];
318   PetscReal   dJ_dt;
319   PetscDS     prob;
320 
321   PetscFunctionBeginUser;
322   for (ii = 0; ii < ctx->num_species; ii++) qv0[ii] = ctx->charges[ii] * ctx->v_0;
323   PetscCall(VecGetDM(X, &dm));
324   PetscCall(DMGetDS(dm, &prob));
325   PetscCall(DMConvert(dm, DMPLEX, &plex));
326   /* get d current / dt */
327   PetscCall(PetscDSSetConstants(prob, ctx->num_species, qv0));
328   PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum));
329   PetscCheck(X_t, PETSC_COMM_SELF, PETSC_ERR_PLIB, "X_t");
330   PetscCall(DMPlexComputeIntegralFEM(plex, X_t, tt, NULL));
331   dJ_dt = -ctx->n_0 * PetscRealPart(tt[0]) / ctx->t_0;
332   /* E induction */
333   *a_E = -rectx->L * dJ_dt + rectx->Ez_initial;
334   PetscCall(DMDestroy(&plex));
335   PetscFunctionReturn(PETSC_SUCCESS);
336 }
337 
338 static PetscErrorCode EConstant(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
339 {
340   PetscFunctionBeginUser;
341   *a_E = ctx->Ez;
342   PetscFunctionReturn(PETSC_SUCCESS);
343 }
344 
345 static PetscErrorCode ENone(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
346 {
347   PetscFunctionBeginUser;
348   *a_E = 0;
349   PetscFunctionReturn(PETSC_SUCCESS);
350 }
351 
352 /* ------------------------------------------------------------------- */
353 /*
354    FormSource - Evaluates source terms F(t).
355 
356    Input Parameters:
357 .  ts - the TS context
358 .  time -
359 .  X_dummmy - input vector
360 .  dummy - optional user-defined context, as set by SNESSetFunction()
361 
362    Output Parameter:
363 .  F - function vector
364  */
365 static PetscErrorCode FormSource(TS ts, PetscReal ftime, Vec X_dummmy, Vec F, void *dummy)
366 {
367   PetscReal  new_imp_rate;
368   LandauCtx *ctx;
369   DM         pack;
370   REctx     *rectx;
371 
372   PetscFunctionBeginUser;
373   PetscCall(TSGetDM(ts, &pack));
374   PetscCall(DMGetApplicationContext(pack, &ctx));
375   rectx = (REctx *)ctx->data;
376   /* check for impurities */
377   PetscCall(rectx->impuritySrcRate(ftime, &new_imp_rate, ctx));
378   if (new_imp_rate != 0) {
379     if (new_imp_rate != rectx->current_rate) {
380       PetscInt  ii;
381       PetscReal dne_dt, dni_dt, tilda_ns[LANDAU_MAX_SPECIES], temps[LANDAU_MAX_SPECIES];
382       Vec       globFarray[LANDAU_MAX_GRIDS * LANDAU_MAX_BATCH_SZ];
383       rectx->current_rate = new_imp_rate;
384       for (ii = 1; ii < LANDAU_MAX_SPECIES; ii++) tilda_ns[ii] = 0;
385       for (ii = 1; ii < LANDAU_MAX_SPECIES; ii++) temps[ii] = 1;
386       dni_dt                   = new_imp_rate /* *ctx->t_0 */; /* fully ionized immediately, no normalize, stay in non-dim */
387       dne_dt                   = new_imp_rate * rectx->Ne_ion /* *ctx->t_0 */;
388       tilda_ns[0]              = dne_dt;
389       tilda_ns[rectx->imp_idx] = dni_dt;
390       temps[0]                 = rectx->T_cold;
391       temps[rectx->imp_idx]    = rectx->T_cold;
392       PetscCall(PetscInfo(ctx->plex[0], "\tHave new_imp_rate= %10.3e time= %10.3e de/dt= %10.3e di/dt= %10.3e ***\n", (double)new_imp_rate, (double)ftime, (double)dne_dt, (double)dni_dt));
393       PetscCall(DMCompositeGetAccessArray(pack, F, ctx->num_grids * ctx->batch_sz, NULL, globFarray));
394       for (PetscInt grid = 0; grid < ctx->num_grids; grid++) {
395         /* add it */
396         PetscCall(DMPlexLandauAddMaxwellians(ctx->plex[grid], globFarray[LAND_PACK_IDX(0, grid)], ftime, temps, tilda_ns, grid, 0, 1, ctx));
397       }
398       // Does DMCompositeRestoreAccessArray copy the data back? (no)
399       PetscCall(DMCompositeRestoreAccessArray(pack, F, ctx->num_grids * ctx->batch_sz, NULL, globFarray));
400     }
401   } else {
402     PetscCall(VecZeroEntries(F));
403     rectx->current_rate = 0;
404   }
405   PetscFunctionReturn(PETSC_SUCCESS);
406 }
407 
408 PetscErrorCode Monitor(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx)
409 {
410   LandauCtx        *ctx   = (LandauCtx *)actx; /* user-defined application context */
411   REctx            *rectx = (REctx *)ctx->data;
412   DM                pack  = NULL;
413   Vec               globXArray[LANDAU_MAX_GRIDS * LANDAU_MAX_BATCH_SZ];
414   TSConvergedReason reason;
415 
416   PetscFunctionBeginUser;
417   PetscCall(TSGetConvergedReason(ts, &reason));
418   if (rectx->grid_view_idx != -1 || (reason && ctx->verbose > 3)) {
419     PetscCall(VecGetDM(X, &pack));
420     PetscCall(DMCompositeGetAccessArray(pack, X, ctx->num_grids * ctx->batch_sz, NULL, globXArray));
421   }
422   if (stepi > rectx->plotStep && rectx->plotting) {
423     rectx->plotting = PETSC_FALSE; /* was doing diagnostics, now done */
424     rectx->plotIdx++;
425   }
426   /* view */
427   if (time / rectx->plotDt >= (PetscReal)rectx->plotIdx || reason) {
428     if ((reason || stepi == 0 || rectx->plotIdx % rectx->print_period == 0) && ctx->verbose > 1) {
429       /* print norms */
430       PetscCall(DMPlexLandauPrintNorms(X, stepi));
431     }
432     if (!rectx->plotting) { /* first step of possible backtracks */
433       rectx->plotting = PETSC_TRUE;
434       /* diagnostics + change E field with Sptizer (not just a monitor) */
435       PetscCall(rectx->test(ts, X, stepi, time, reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx));
436     } else {
437       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\t\t ERROR SKIP test spit ------\n"));
438       rectx->plotting = PETSC_TRUE;
439     }
440     if (rectx->grid_view_idx != -1) {
441       PetscCall(PetscObjectSetName((PetscObject)globXArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], rectx->grid_view_idx == 0 ? "ue" : "ui"));
442       /* view, overwrite step when back tracked */
443       PetscCall(DMSetOutputSequenceNumber(ctx->plex[rectx->grid_view_idx], rectx->plotIdx, time * ctx->t_0));
444       PetscCall(VecViewFromOptions(globXArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view"));
445     }
446     rectx->plotStep = stepi;
447   } else {
448     if (rectx->plotting) PetscCall(PetscPrintf(PETSC_COMM_WORLD, " ERROR rectx->plotting=%s step %" PetscInt_FMT "\n", PetscBools[rectx->plotting], stepi));
449     /* diagnostics + change E field with Sptizer (not just a monitor) - can we lag this? */
450     PetscCall(rectx->test(ts, X, stepi, time, reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx));
451   }
452   /* parallel check that only works of all batches are identical */
453   if (reason && ctx->verbose > 3 && ctx->batch_sz > 1) {
454     PetscReal   val, rval;
455     PetscMPIInt rank;
456     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
457     for (PetscInt grid = 0; grid < ctx->num_grids; grid++) {
458       PetscInt nerrors = 0;
459       for (PetscInt i = 0; i < ctx->batch_sz; i++) {
460         PetscCall(VecNorm(globXArray[LAND_PACK_IDX(i, grid)], NORM_2, &val));
461         if (i == 0) rval = val;
462         else if ((val = PetscAbs(val - rval) / rval) > 1000 * PETSC_MACHINE_EPSILON) {
463           PetscCall(PetscPrintf(PETSC_COMM_SELF, " [%d] Warning %" PetscInt_FMT ".%" PetscInt_FMT ") diff = %2.15e\n", rank, grid, i, (double)val));
464           nerrors++;
465         }
466       }
467       if (nerrors) {
468         PetscCall(PetscPrintf(PETSC_COMM_SELF, " ***** [%d] ERROR max %" PetscInt_FMT " errors\n", rank, nerrors));
469       } else {
470         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "[%d] %" PetscInt_FMT ") batch consistency check OK\n", rank, grid));
471       }
472     }
473   }
474   rectx->idx = 0;
475   if (rectx->grid_view_idx != -1 || (reason && ctx->verbose > 3)) PetscCall(DMCompositeRestoreAccessArray(pack, X, ctx->num_grids * ctx->batch_sz, NULL, globXArray));
476   PetscFunctionReturn(PETSC_SUCCESS);
477 }
478 
479 PetscErrorCode PreStep(TS ts)
480 {
481   LandauCtx *ctx;
482   REctx     *rectx;
483   DM         dm;
484   PetscInt   stepi;
485   PetscReal  time;
486   Vec        X;
487 
488   PetscFunctionBeginUser;
489   /* not used */
490   PetscCall(TSGetDM(ts, &dm));
491   PetscCall(TSGetTime(ts, &time));
492   PetscCall(TSGetSolution(ts, &X));
493   PetscCall(DMGetApplicationContext(dm, &ctx));
494   rectx = (REctx *)ctx->data;
495   PetscCall(TSGetStepNumber(ts, &stepi));
496   /* update E */
497   PetscCall(rectx->E(X, NULL, stepi, time, ctx, &ctx->Ez));
498   PetscFunctionReturn(PETSC_SUCCESS);
499 }
500 
501 /* 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) */
502 static PetscErrorCode stepSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
503 {
504   REctx *rectx = (REctx *)ctx->data;
505 
506   PetscFunctionBeginUser;
507   if (time >= rectx->pulse_start) *rho = rectx->pulse_rate;
508   else *rho = 0.;
509   PetscFunctionReturn(PETSC_SUCCESS);
510 }
511 static PetscErrorCode zeroSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
512 {
513   PetscFunctionBeginUser;
514   *rho = 0.;
515   PetscFunctionReturn(PETSC_SUCCESS);
516 }
517 static PetscErrorCode pulseSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
518 {
519   REctx *rectx = (REctx *)ctx->data;
520 
521   PetscFunctionBeginUser;
522   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'");
523   if (time < rectx->pulse_start || time > rectx->pulse_start + 3 * rectx->pulse_width) *rho = 0;
524   else {
525     double x = PetscSinReal((time - rectx->pulse_start) / (3 * rectx->pulse_width) * 2 * PETSC_PI - PETSC_PI / 2) + 1; /* 0:2, integrates to 1.0 */
526     *rho     = rectx->pulse_rate * x / (3 * rectx->pulse_width);
527     if (!rectx->use_spitzer_eta) rectx->use_spitzer_eta = PETSC_TRUE; /* use it next time */
528   }
529   PetscFunctionReturn(PETSC_SUCCESS);
530 }
531 
532 #undef __FUNCT__
533 #define __FUNCT__ "ProcessREOptions"
534 static PetscErrorCode ProcessREOptions(REctx *rectx, const LandauCtx *ctx, DM dm, const char prefix[])
535 {
536   PetscFunctionList plist = NULL, testlist = NULL, elist = NULL;
537   char              pname[256], testname[256], ename[256];
538   DM                dm_dummy;
539   PetscBool         Connor_E = PETSC_FALSE;
540 
541   PetscFunctionBeginUser;
542   PetscCall(DMCreate(PETSC_COMM_WORLD, &dm_dummy));
543   rectx->Ne_ion          = 1;    /* number of electrons given up by impurity ion */
544   rectx->T_cold          = .005; /* kev */
545   rectx->ion_potential   = 15;   /* ev */
546   rectx->L               = 2;
547   rectx->X_0             = NULL;
548   rectx->imp_idx         = ctx->num_species - 1; /* default ionized impurity as last one */
549   rectx->pulse_start     = PETSC_MAX_REAL;
550   rectx->pulse_width     = 1;
551   rectx->plotStep        = PETSC_MAX_INT;
552   rectx->pulse_rate      = 1.e-1;
553   rectx->current_rate    = 0;
554   rectx->plotIdx         = 0;
555   rectx->j               = 0;
556   rectx->plotDt          = 1.0;
557   rectx->plotting        = PETSC_FALSE;
558   rectx->use_spitzer_eta = PETSC_FALSE;
559   rectx->idx             = 0;
560   rectx->print_period    = 10;
561   rectx->grid_view_idx   = -1; // do not get if not needed
562   /* Register the available impurity sources */
563   PetscCall(PetscFunctionListAdd(&plist, "step", &stepSrc));
564   PetscCall(PetscFunctionListAdd(&plist, "none", &zeroSrc));
565   PetscCall(PetscFunctionListAdd(&plist, "pulse", &pulseSrc));
566   PetscCall(PetscStrncpy(pname, "none", sizeof(pname)));
567   PetscCall(PetscFunctionListAdd(&testlist, "none", &testNone));
568   PetscCall(PetscFunctionListAdd(&testlist, "spitzer", &testSpitzer));
569   PetscCall(PetscFunctionListAdd(&testlist, "stable", &testStable));
570   PetscCall(PetscStrncpy(testname, "none", sizeof(testname)));
571   PetscCall(PetscFunctionListAdd(&elist, "none", &ENone));
572   PetscCall(PetscFunctionListAdd(&elist, "induction", &EInduction));
573   PetscCall(PetscFunctionListAdd(&elist, "constant", &EConstant));
574   PetscCall(PetscStrncpy(ename, "constant", sizeof(ename)));
575 
576   PetscOptionsBegin(PETSC_COMM_SELF, prefix, "Options for Runaway/seed electron model", "none");
577   PetscCall(PetscOptionsReal("-ex2_plot_dt", "Plotting interval", "ex2.c", rectx->plotDt, &rectx->plotDt, NULL));
578   if (rectx->plotDt < 0) rectx->plotDt = 1e30;
579   if (rectx->plotDt == 0) rectx->plotDt = 1e-30;
580   PetscCall(PetscOptionsInt("-ex2_print_period", "Plotting interval", "ex2.c", rectx->print_period, &rectx->print_period, NULL));
581   PetscCall(PetscOptionsInt("-ex2_grid_view_idx", "grid_view_idx", "ex2.c", rectx->grid_view_idx, &rectx->grid_view_idx, NULL));
582   PetscCheck(rectx->grid_view_idx < ctx->num_grids || rectx->grid_view_idx == -1, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "rectx->grid_view_idx (%" PetscInt_FMT ") >= ctx->num_grids (%" PetscInt_FMT ")", rectx->imp_idx, ctx->num_grids);
583   PetscCall(PetscOptionsFList("-ex2_impurity_source_type", "Name of impurity source to run", "", plist, pname, pname, sizeof(pname), NULL));
584   PetscCall(PetscOptionsFList("-ex2_test_type", "Name of test to run", "", testlist, testname, testname, sizeof(testname), NULL));
585   PetscCall(PetscOptionsInt("-ex2_impurity_index", "index of sink for impurities", "none", rectx->imp_idx, &rectx->imp_idx, NULL));
586   PetscCheck((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 (%" PetscInt_FMT "), must be > 0 && < NS", rectx->imp_idx);
587   PetscCall(PetscOptionsFList("-ex2_e_field_type", "Electric field type", "", elist, ename, ename, sizeof(ename), NULL));
588   rectx->Ne_ion = -ctx->charges[rectx->imp_idx] / ctx->charges[0];
589   PetscCall(PetscOptionsReal("-ex2_t_cold", "Temperature of cold electron and ions after ionization in keV", "none", rectx->T_cold, &rectx->T_cold, NULL));
590   PetscCall(PetscOptionsReal("-ex2_pulse_start_time", "Time at which pulse happens for 'pulse' source", "none", rectx->pulse_start, &rectx->pulse_start, NULL));
591   PetscCall(PetscOptionsReal("-ex2_pulse_width_time", "Width of pulse 'pulse' source", "none", rectx->pulse_width, &rectx->pulse_width, NULL));
592   PetscCall(PetscOptionsReal("-ex2_pulse_rate", "Number density of pulse for 'pulse' source", "none", rectx->pulse_rate, &rectx->pulse_rate, NULL));
593   rectx->T_cold *= 1.16e7; /* convert to Kelvin */
594   PetscCall(PetscOptionsReal("-ex2_ion_potential", "Potential to ionize impurity (should be array) in ev", "none", rectx->ion_potential, &rectx->ion_potential, NULL));
595   PetscCall(PetscOptionsReal("-ex2_inductance", "Inductance E field", "none", rectx->L, &rectx->L, NULL));
596   PetscCall(PetscOptionsBool("-ex2_connor_e_field_units", "Scale Ex but Connor-Hastie E_c", "none", Connor_E, &Connor_E, NULL));
597   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", (double)rectx->Ne_ion, (double)rectx->T_cold, (double)rectx->ion_potential, (double)ctx->Ez, (double)ctx->v_0));
598   PetscOptionsEnd();
599   /* get impurity source rate function */
600   PetscCall(PetscFunctionListFind(plist, pname, &rectx->impuritySrcRate));
601   PetscCheck(rectx->impuritySrcRate, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No impurity source function found '%s'", pname);
602   PetscCall(PetscFunctionListFind(testlist, testname, &rectx->test));
603   PetscCheck(rectx->test, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No test found '%s'", testname);
604   PetscCall(PetscFunctionListFind(elist, ename, &rectx->E));
605   PetscCheck(rectx->E, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No E field function found '%s'", ename);
606   PetscCall(PetscFunctionListDestroy(&plist));
607   PetscCall(PetscFunctionListDestroy(&testlist));
608   PetscCall(PetscFunctionListDestroy(&elist));
609 
610   /* convert E from Connor-Hastie E_c units to real if doing Spitzer E */
611   if (Connor_E) {
612     PetscReal E = ctx->Ez, Tev = ctx->thermal_temps[0] * 8.621738e-5, n = ctx->n_0 * ctx->n[0];
613     CalculateE(Tev, n, ctx->lambdas[0][1], ctx->epsilon0, &E);
614     ((LandauCtx *)ctx)->Ez *= E;
615   }
616   PetscCall(DMDestroy(&dm_dummy));
617   PetscFunctionReturn(PETSC_SUCCESS);
618 }
619 
620 int main(int argc, char **argv)
621 {
622   DM            pack;
623   Vec           X;
624   PetscInt      dim = 2, nDMs;
625   TS            ts;
626   Mat           J;
627   PetscDS       prob;
628   LandauCtx    *ctx;
629   REctx        *rectx;
630   PetscMPIInt   rank;
631   PetscLogStage stage;
632 
633   PetscFunctionBeginUser;
634   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
635   PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
636   if (rank) { /* turn off output stuff for duplicate runs */
637     PetscCall(PetscOptionsClearValue(NULL, "-ex2_dm_view"));
638     PetscCall(PetscOptionsClearValue(NULL, "-ex2_vec_view"));
639     PetscCall(PetscOptionsClearValue(NULL, "-ex2_vec_view_init"));
640     PetscCall(PetscOptionsClearValue(NULL, "-ex2_dm_view_init"));
641     PetscCall(PetscOptionsClearValue(NULL, "-info")); /* this does not work */
642   }
643   PetscCall(PetscOptionsGetInt(NULL, NULL, "-dim", &dim, NULL));
644   /* Create a mesh */
645   PetscCall(DMPlexLandauCreateVelocitySpace(PETSC_COMM_WORLD, dim, "", &X, &J, &pack));
646   PetscCall(DMCompositeGetNumberDM(pack, &nDMs));
647   PetscCall(PetscObjectSetName((PetscObject)J, "Jacobian"));
648   PetscCall(PetscObjectSetName((PetscObject)X, "f"));
649   PetscCall(DMGetApplicationContext(pack, &ctx));
650   PetscCall(DMSetUp(pack));
651   /* context */
652   PetscCall(PetscNew(&rectx));
653   ctx->data = rectx;
654   PetscCall(ProcessREOptions(rectx, ctx, pack, ""));
655   PetscCall(DMGetDS(pack, &prob));
656   if (rectx->grid_view_idx != -1) {
657     Vec *XsubArray = NULL;
658     PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray));
659     PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
660     PetscCall(PetscObjectSetName((PetscObject)XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], rectx->grid_view_idx == 0 ? "ue" : "ui"));
661     PetscCall(DMSetOutputSequenceNumber(ctx->plex[rectx->grid_view_idx], 0, 0.0));
662     PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx], NULL, "-ex2_dm_view"));
663     PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx], NULL, "-ex2_dm_view_init"));
664     PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view"));      // initial condition (monitor plots after step)
665     PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view_init")); // initial condition (monitor plots after step)
666     PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray));                                                       // read only
667     PetscCall(PetscFree(XsubArray));
668   }
669   /* Create timestepping solver context */
670   PetscCall(TSCreate(PETSC_COMM_SELF, &ts));
671   PetscCall(TSSetDM(ts, pack));
672   PetscCall(TSSetIFunction(ts, NULL, DMPlexLandauIFunction, NULL));
673   PetscCall(TSSetIJacobian(ts, J, J, DMPlexLandauIJacobian, NULL));
674   PetscCall(TSSetRHSFunction(ts, NULL, FormSource, NULL));
675   PetscCall(TSSetFromOptions(ts));
676   PetscCall(TSSetSolution(ts, X));
677   PetscCall(TSSetApplicationContext(ts, ctx));
678   PetscCall(TSMonitorSet(ts, Monitor, ctx, NULL));
679   PetscCall(TSSetPreStep(ts, PreStep));
680   rectx->Ez_initial = ctx->Ez; /* cache for induction calculation - applied E field */
681   if (1) {                     /* warm up an test just DMPlexLandauIJacobian */
682     Vec       vec;
683     PetscInt  nsteps;
684     PetscReal dt;
685     PetscCall(PetscLogStageRegister("Warmup", &stage));
686     PetscCall(PetscLogStagePush(stage));
687     PetscCall(VecDuplicate(X, &vec));
688     PetscCall(VecCopy(X, vec));
689     PetscCall(TSGetMaxSteps(ts, &nsteps));
690     PetscCall(TSGetTimeStep(ts, &dt));
691     PetscCall(TSSetMaxSteps(ts, 1));
692     PetscCall(TSSolve(ts, X));
693     PetscCall(TSSetMaxSteps(ts, nsteps));
694     PetscCall(TSSetStepNumber(ts, 0));
695     PetscCall(TSSetTime(ts, 0));
696     PetscCall(TSSetTimeStep(ts, dt));
697     rectx->plotIdx  = 0;
698     rectx->plotting = PETSC_FALSE;
699     PetscCall(PetscLogStagePop());
700     PetscCall(VecCopy(vec, X));
701     PetscCall(VecDestroy(&vec));
702     PetscCall(PetscObjectStateIncrease((PetscObject)ctx->J));
703   }
704   /* go */
705   PetscCall(PetscLogStageRegister("Solve", &stage));
706   ctx->stage = 0; // lets not use this stage
707   PetscCall(PetscLogStagePush(stage));
708 #if defined(PETSC_HAVE_CUDA_NVTX)
709   nvtxRangePushA("ex2-TSSolve-warm");
710 #endif
711   PetscCall(TSSolve(ts, X));
712 #if defined(PETSC_HAVE_CUDA_NVTX)
713   nvtxRangePop();
714 #endif
715   PetscCall(PetscLogStagePop());
716   /* clean up */
717   PetscCall(DMPlexLandauDestroyVelocitySpace(&pack));
718   PetscCall(TSDestroy(&ts));
719   PetscCall(VecDestroy(&X));
720   PetscCall(PetscFree(rectx));
721   PetscCall(PetscFinalize());
722   return 0;
723 }
724 
725 /*TEST
726 
727   testset:
728     requires: p4est !complex double defined(PETSC_USE_DMLANDAU_2D)
729     output_file: output/ex2_0.out
730     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-9 -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-2 -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 -dm_landau_amr_levels_max 2,2 -dm_landau_amr_re_levels 2 -dm_landau_re_radius 0 -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 -dm_landau_verbose 2 -dm_landau_domain_radius 5.,5.
731     test:
732       suffix: cpu
733       args: -dm_landau_device_type cpu -ksp_type bicg -pc_type jacobi
734     test:
735       suffix: kokkos
736       requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) !defined(PETSC_HAVE_SYCL)
737       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type bicg -pc_type jacobi
738     test:
739       suffix: kokkos_batch
740       requires: kokkos_kernels
741       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type preonly -pc_type bjkokkos -pc_bjkokkos_ksp_type bicg -pc_bjkokkos_pc_type jacobi
742     test:
743       suffix: kokkos_batch_tfqmr
744       requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) !defined(PETSC_HAVE_SYCL)
745       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
746 
747   test:
748     requires: !complex double defined(PETSC_USE_DMLANDAU_2D) !kokkos_kernels !cuda
749     suffix: single
750     nsize: 1
751     args: -dm_refine 2 -dm_landau_num_species_grid 1 -dm_landau_thermal_temps 1 -dm_landau_electron_shift 1.25 -petscspace_degree 3 -snes_converged_reason -ts_type beuler -ts_dt .1 -ex2_plot_dt .1 -ts_max_steps 1 -ex2_grid_view_idx 0 -ex2_dm_view -snes_rtol 1.e-13 -snes_stol 1.e-13 -dm_landau_verbose 2 -ex2_print_period 1 -ksp_type preonly -pc_type lu -dm_landau_device_type cpu -dm_landau_use_relativistic_corrections
752 
753   testset:
754     requires: !complex double defined(PETSC_USE_DMLANDAU_2D)
755     nsize: 1
756     output_file: output/ex2_simplex.out
757     args: -dim 2 -dm_landau_num_species_grid 1,1 -petscspace_degree 2 -dm_landau_simplex -dm_landau_ion_masses 2 -dm_landau_ion_charges 1 -dm_landau_thermal_temps 2,1 -dm_landau_n 1,1 -snes_rtol 1e-15 -snes_stol 1e-15 -snes_monitor -ts_type beuler -snes_converged_reason -ts_exact_final_time stepover -ts_dt .1 -ts_max_steps 1 -ts_max_snes_failures -1 -ksp_type preonly -pc_type lu -dm_landau_verbose 2 -ex2_grid_view_idx 0 -ex2_dm_view -dm_refine 1 -ksp_type bicg -pc_type jacobi
758     test:
759       suffix: simplex
760       args: -dm_landau_device_type cpu
761     test:
762       suffix: simplexkokkos
763       requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) !defined(PETSC_HAVE_SYCL)
764       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos
765 
766 TEST*/
767