xref: /petsc/src/ts/utils/dmplexlandau/tutorials/ex1.c (revision a336c15037c72f93cd561f5a5e11e93175f2efd9)
1 static char help[] = "Landau collision operator with anisotropic thermalization verification test as per Hager et al.\n 'A fully non-linear multi-species Fokker-Planck-Landau collision operator for simulation of fusion plasma', and "
2                      "published as 'A performance portable, fully implicit Landau collision operator with batched linear solvers' https://arxiv.org/abs/2209.03228\n\n";
3 
4 #include <petscts.h>
5 #include <petsclandau.h>
6 #include <petscdmcomposite.h>
7 #include <petscds.h>
8 
9 /*
10  call back method for DMPlexLandauAccess:
11 
12 Input Parameters:
13  .   dm - a DM for this field
14  -   local_field - the local index in the grid for this field
15  .   grid - the grid index
16  +   b_id - the batch index
17  -   vctx - a user context
18 
19  Input/Output Parameter:
20  .   x - Vector to data to
21 
22  */
23 PetscErrorCode landau_field_print_access_callback(DM dm, Vec x, PetscInt local_field, PetscInt grid, PetscInt b_id, void *vctx)
24 {
25   LandauCtx  *ctx;
26   PetscScalar val;
27   PetscInt    species;
28 
29   PetscFunctionBegin;
30   PetscCall(DMGetApplicationContext(dm, &ctx));
31   species = ctx->species_offset[grid] + local_field;
32   val     = (PetscScalar)(LAND_PACK_IDX(b_id, grid) + (species + 1) * 10);
33   PetscCall(VecSet(x, val));
34   PetscCall(PetscInfo(dm, "DMPlexLandauAccess user 'add' method to grid %" PetscInt_FMT ", batch %" PetscInt_FMT " and local field %" PetscInt_FMT " with %" PetscInt_FMT " grids\n", grid, b_id, local_field, ctx->num_grids));
35   PetscFunctionReturn(PETSC_SUCCESS);
36 }
37 
38 static const PetscReal alphai   = 1 / 1.3;
39 static const PetscReal kev_joul = 6.241506479963235e+15; /* 1/1000e */
40 
41 // constants: [index of (anisotropic) direction of source, z x[1] shift
42 /* < v, n_s v_|| > */
43 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)
44 {
45   if (dim == 2) f0[0] = u[0] * (2. * PETSC_PI * x[0]) * x[1]; /* n r v_|| */
46   else f0[0] = u[0] * x[2];
47 }
48 /* < v, n (v-shift)^2 > */
49 static void f0_v2_par_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)
50 {
51   PetscReal vz = PetscRealPart(constants[0]);
52   if (dim == 2) *f0 = u[0] * (2. * PETSC_PI * x[0]) * (x[1] - vz) * (x[1] - vz); /* n r v^2_par|perp */
53   else *f0 = u[0] * (x[2] - vz) * (x[2] - vz);
54 }
55 static void f0_v2_perp(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)
56 {
57   if (dim == 2) *f0 = u[0] * (2. * PETSC_PI * x[0]) * x[0] * x[0]; /* n r v^2_perp */
58   else *f0 = u[0] * (x[0] * x[0] + x[1] * x[1]);
59 }
60 /* < v, n_e > */
61 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)
62 {
63   if (dim == 2) f0[0] = 2. * PETSC_PI * x[0] * u[0];
64   else f0[0] = u[0];
65 }
66 static void f0_v2_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)
67 {
68   PetscReal vz = PetscRealPart(constants[0]);
69   if (dim == 2) f0[0] = u[0] * (2. * PETSC_PI * x[0]) * (x[0] * x[0] + (x[1] - vz) * (x[1] - vz));
70   else f0[0] = u[0] * (x[0] * x[0] + x[1] * x[1] + (x[2] - vz) * (x[2] - vz));
71 }
72 /* Define a Maxwellian function for testing out the operator. */
73 typedef struct {
74   PetscReal v_0;
75   PetscReal kT_m;
76   PetscReal n;
77   PetscReal shift;
78   PetscInt  species;
79 } MaxwellianCtx;
80 
81 static PetscErrorCode maxwellian(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf_dummy, PetscScalar *u, void *actx)
82 {
83   MaxwellianCtx *mctx  = (MaxwellianCtx *)actx;
84   PetscReal      theta = 2 * mctx->kT_m / (mctx->v_0 * mctx->v_0); /* theta = 2kT/mc^2 */
85 
86   PetscFunctionBegin;
87   /* evaluate the shifted Maxwellian */
88   if (dim == 2) u[0] += alphai * mctx->n * PetscPowReal(PETSC_PI * theta, -1.5) * PetscExpReal(-(alphai * x[0] * x[0] + (x[1] - mctx->shift) * (x[1] - mctx->shift)) / theta);
89   else u[0] += alphai * mctx->n * PetscPowReal(PETSC_PI * theta, -1.5) * PetscExpReal(-(alphai * (x[0] * x[0] + x[1] * x[1]) + (x[2] - mctx->shift) * (x[2] - mctx->shift)) / theta);
90   PetscFunctionReturn(PETSC_SUCCESS);
91 }
92 
93 static PetscErrorCode SetMaxwellians(DM dm, Vec X, PetscReal time, PetscReal temps[], PetscReal ns[], PetscInt grid, PetscReal shifts[], LandauCtx *ctx)
94 {
95   PetscErrorCode (*initu[LANDAU_MAX_SPECIES])(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
96   MaxwellianCtx *mctxs[LANDAU_MAX_SPECIES], data[LANDAU_MAX_SPECIES];
97 
98   PetscFunctionBegin;
99   if (!ctx) PetscCall(DMGetApplicationContext(dm, &ctx));
100   for (PetscInt ii = ctx->species_offset[grid], i0 = 0; ii < ctx->species_offset[grid + 1]; ii++, i0++) {
101     mctxs[i0]        = &data[i0];
102     data[i0].v_0     = ctx->v_0;                             // v_0 same for all grids
103     data[i0].kT_m    = ctx->k * temps[ii] / ctx->masses[ii]; /* kT/m = v_th ^ 2*/
104     data[i0].n       = ns[ii];
105     initu[i0]        = maxwellian;
106     data[i0].shift   = 0;
107     data[i0].species = ii;
108   }
109   if (1) {
110     data[0].shift = (PetscReal)-PetscSign(ctx->charges[ctx->species_offset[grid]]) * ctx->electronShift * ctx->m_0 / ctx->masses[ctx->species_offset[grid]];
111   } else {
112     shifts[0]     = 0.5 * PetscSqrtReal(ctx->masses[0] / ctx->masses[1]);
113     shifts[1]     = 50 * (ctx->masses[0] / ctx->masses[1]);
114     data[0].shift = ctx->electronShift * shifts[grid] * PetscSqrtReal(data[0].kT_m) / ctx->v_0; // shifts to not matter!!!!
115   }
116   PetscCall(DMProjectFunction(dm, time, initu, (void **)mctxs, INSERT_ALL_VALUES, X));
117   PetscFunctionReturn(PETSC_SUCCESS);
118 }
119 
120 typedef enum {
121   E_PAR_IDX,
122   E_PERP_IDX,
123   I_PAR_IDX,
124   I_PERP_IDX,
125   NUM_TEMPS
126 } TemperatureIDX;
127 
128 /* --------------------  Evaluate NRL Function F(x) (analytical solutions exist for this) --------------------- */
129 static PetscReal n_cm3[2] = {0, 0};
130 PetscErrorCode   FormFunction(TS ts, PetscReal tdummy, Vec X, Vec F, void *ptr)
131 {
132   LandauCtx         *ctx = (LandauCtx *)ptr; /* user-defined application context */
133   PetscScalar       *f;
134   const PetscScalar *x;
135   const PetscReal    k_B = 1.6e-12, e_cgs = 4.8e-10, proton_mass = 9.1094e-28, m_cgs[2] = {proton_mass, proton_mass * ctx->masses[1] / ctx->masses[0]}; // erg/eV, e, m as per NRL;
136   PetscReal          AA, v_bar_ab, vTe, t1, TeDiff, Te, Ti, Tdiff;
137 
138   PetscFunctionBeginUser;
139   PetscCall(VecGetArrayRead(X, &x));
140   Te = PetscRealPart(2 * x[E_PERP_IDX] + x[E_PAR_IDX]) / 3, Ti = PetscRealPart(2 * x[I_PERP_IDX] + x[I_PAR_IDX]) / 3;
141   // thermalization from NRL Plasma formulary, assume Z = 1, mu = 2, n_i = n_e
142   v_bar_ab = 1.8e-19 * PetscSqrtReal(m_cgs[0] * m_cgs[1]) * n_cm3[0] * ctx->lambdas[0][1] * PetscPowReal(m_cgs[0] * Ti + m_cgs[1] * Te, -1.5);
143   PetscCall(VecGetArray(F, &f));
144   for (PetscInt ii = 0; ii < 2; ii++) {
145     PetscReal tPerp = PetscRealPart(x[2 * ii + E_PERP_IDX]), tPar = PetscRealPart(x[2 * ii + E_PAR_IDX]), ff;
146     TeDiff = tPerp - tPar;
147     AA     = tPerp / tPar - 1;
148     if (AA < 0) ff = PetscAtanhReal(PetscSqrtReal(-AA)) / PetscSqrtReal(-AA);
149     else ff = PetscAtanReal(PetscSqrtReal(AA)) / PetscSqrtReal(AA);
150     t1 = (-3 + (AA + 3) * ff) / PetscSqr(AA);
151     //PetscReal vTeB = 8.2e-7 * n_cm3[0] * ctx->lambdas[0][1] * PetscPowReal(Te, -1.5);
152     vTe = 2 * PetscSqrtReal(PETSC_PI / m_cgs[ii]) * PetscSqr(PetscSqr(e_cgs)) * n_cm3[0] * ctx->lambdas[0][1] * PetscPowReal(PetscRealPart(k_B * x[E_PAR_IDX]), -1.5) * t1;
153     t1  = vTe * TeDiff; // * 2; // scaling from NRL that makes it fit pretty good
154 
155     f[2 * ii + E_PAR_IDX]  = 2 * t1; // par
156     f[2 * ii + E_PERP_IDX] = -t1;    // perp
157     Tdiff                  = (ii == 0) ? (Ti - Te) : (Te - Ti);
158     f[2 * ii + E_PAR_IDX] += v_bar_ab * Tdiff;
159     f[2 * ii + E_PERP_IDX] += v_bar_ab * Tdiff;
160   }
161   PetscCall(VecRestoreArrayRead(X, &x));
162   PetscCall(VecRestoreArray(F, &f));
163   PetscFunctionReturn(PETSC_SUCCESS);
164 }
165 
166 /* --------------------  Form initial approximation ----------------- */
167 static PetscReal T0[4] = {300, 390, 200, 260};
168 PetscErrorCode   createVec_NRL(LandauCtx *ctx, Vec *vec)
169 {
170   PetscScalar *x;
171   Vec          Temps;
172 
173   PetscFunctionBeginUser;
174   PetscCall(VecCreateSeq(PETSC_COMM_SELF, NUM_TEMPS, &Temps));
175   PetscCall(VecGetArray(Temps, &x));
176   for (PetscInt i = 0; i < NUM_TEMPS; i++) x[i] = T0[i];
177   PetscCall(VecRestoreArray(Temps, &x));
178   *vec = Temps;
179   PetscFunctionReturn(PETSC_SUCCESS);
180 }
181 
182 PetscErrorCode createTS_NRL(LandauCtx *ctx, Vec Temps)
183 {
184   TSAdapt adapt;
185   TS      ts;
186 
187   PetscFunctionBeginUser;
188   PetscCall(TSCreate(PETSC_COMM_SELF, &ts));
189   ctx->data = (void *)ts; // 'data' is for applications (eg, monitors)
190   PetscCall(TSSetApplicationContext(ts, ctx));
191   PetscCall(TSSetType(ts, TSRK));
192   PetscCall(TSSetRHSFunction(ts, NULL, FormFunction, ctx));
193   PetscCall(TSSetSolution(ts, Temps));
194   PetscCall(TSRKSetType(ts, TSRK2A));
195   PetscCall(TSSetOptionsPrefix(ts, "nrl_"));
196   PetscCall(TSSetFromOptions(ts));
197   PetscCall(TSGetAdapt(ts, &adapt));
198   PetscCall(TSAdaptSetType(adapt, TSADAPTNONE));
199   PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_MATCHSTEP));
200   PetscCall(TSSetStepNumber(ts, 0));
201   PetscCall(TSSetMaxSteps(ts, 1));
202   PetscCall(TSSetTime(ts, 0));
203   PetscFunctionReturn(PETSC_SUCCESS);
204 }
205 
206 PetscErrorCode Monitor_nrl(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx)
207 {
208   const PetscScalar *x;
209   LandauCtx         *ctx = (LandauCtx *)actx; /* user-defined application context */
210 
211   PetscFunctionBeginUser;
212   if (stepi % 100 == 0) {
213     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "nrl-step %d time= %g ", (int)stepi, (double)(time / ctx->t_0)));
214     PetscCall(VecGetArrayRead(X, &x));
215     for (PetscInt i = 0; i < NUM_TEMPS; i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%g ", (double)PetscRealPart(x[i])));
216     PetscCall(VecRestoreArrayRead(X, &x));
217     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\n"));
218   }
219   PetscFunctionReturn(PETSC_SUCCESS);
220 }
221 
222 PetscErrorCode Monitor(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx)
223 {
224   LandauCtx *ctx      = (LandauCtx *)actx; /* user-defined application context */
225   TS         ts_nrl   = (TS)ctx->data;
226   PetscInt   printing = 0, logT;
227 
228   PetscFunctionBeginUser;
229   if (ctx->verbose > 0) { // hacks to generate sparse data (eg, use '-dm_landau_verbose 1' and '-dm_landau_verbose -1' to get all steps printed)
230     PetscReal dt;
231     PetscCall(TSGetTimeStep(ts, &dt));
232     logT = (PetscInt)PetscLog2Real(time / dt);
233     if (logT < 0) logT = 0;
234     ctx->verbose = PetscPowInt(2, logT) / 2;
235     if (ctx->verbose == 0) ctx->verbose = 1;
236   }
237   if (ctx->verbose) {
238     TSConvergedReason reason;
239     PetscCall(TSGetConvergedReason(ts, &reason));
240     if (stepi % ctx->verbose == 0 || reason || stepi == 1 || ctx->verbose < 0) {
241       PetscInt nDMs, id;
242       DM       pack;
243       Vec     *XsubArray = NULL;
244       printing           = 1;
245       PetscCall(TSGetDM(ts, &pack));
246       PetscCall(DMCompositeGetNumberDM(pack, &nDMs));
247       PetscCall(DMGetOutputSequenceNumber(ctx->plex[0], &id, NULL));
248       PetscCall(DMSetOutputSequenceNumber(ctx->plex[0], id + 1, time));
249       PetscCall(DMSetOutputSequenceNumber(ctx->plex[1], id + 1, time));
250       PetscCall(PetscInfo(pack, "ex1 plot step %" PetscInt_FMT ", time = %g\n", id, (double)time));
251       PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray));
252       PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
253       PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], NULL, "-ex1_vec_view_e"));
254       PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 1)], NULL, "-ex1_vec_view_i"));
255       // temps
256       for (PetscInt grid = 0; grid < ctx->num_grids; grid++) {
257         PetscDS     prob;
258         DM          dm      = ctx->plex[grid];
259         PetscScalar user[2] = {0, 0}, tt[1];
260         PetscReal   vz_0 = 0, n, energy, e_perp, e_par, m_s = ctx->masses[ctx->species_offset[grid]];
261         Vec         Xloc = XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, grid)];
262         PetscCall(DMGetDS(dm, &prob));
263         /* get n */
264         PetscCall(PetscDSSetObjective(prob, 0, &f0_n));
265         PetscCall(DMPlexComputeIntegralFEM(dm, Xloc, tt, NULL));
266         n = PetscRealPart(tt[0]);
267         /* get vz */
268         PetscCall(PetscDSSetObjective(prob, 0, &f0_vz));
269         PetscCall(DMPlexComputeIntegralFEM(dm, Xloc, tt, NULL));
270         user[0] = vz_0 = PetscRealPart(tt[0]) / n;
271         /* energy temp */
272         PetscCall(PetscDSSetConstants(prob, 2, user));
273         PetscCall(PetscDSSetObjective(prob, 0, &f0_v2_shift));
274         PetscCall(DMPlexComputeIntegralFEM(dm, Xloc, tt, ctx));
275         energy = PetscRealPart(tt[0]) * ctx->v_0 * ctx->v_0 * m_s / n / 3; // scale?
276         energy *= kev_joul * 1000;                                         // T eV
277         /* energy temp - par */
278         PetscCall(PetscDSSetConstants(prob, 2, user));
279         PetscCall(PetscDSSetObjective(prob, 0, &f0_v2_par_shift));
280         PetscCall(DMPlexComputeIntegralFEM(dm, Xloc, tt, ctx));
281         e_par = PetscRealPart(tt[0]) * ctx->v_0 * ctx->v_0 * m_s / n;
282         e_par *= kev_joul * 1000; // eV
283         /* energy temp - perp */
284         PetscCall(PetscDSSetConstants(prob, 2, user));
285         PetscCall(PetscDSSetObjective(prob, 0, &f0_v2_perp));
286         PetscCall(DMPlexComputeIntegralFEM(dm, Xloc, tt, ctx));
287         e_perp = PetscRealPart(tt[0]) * ctx->v_0 * ctx->v_0 * m_s / n / 2;
288         e_perp *= kev_joul * 1000; // eV
289         if (grid == 0) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "step %4d) time= %e temperature (eV): ", (int)stepi, (double)time));
290         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%s T= %9.4e T_par= %9.4e T_perp= %9.4e ", (grid == 0) ? "electron:" : ";ion:", (double)energy, (double)e_par, (double)e_perp));
291         if (n_cm3[grid] == 0) n_cm3[grid] = ctx->n_0 * n * 1e-6; // does not change m^3 --> cm^3
292       }
293       // cleanup
294       PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray));
295       PetscCall(PetscFree(XsubArray));
296     }
297   }
298   /* evolve NRL data, end line */
299   if (n_cm3[NUM_TEMPS / 2 - 1] < 0 && ts_nrl) {
300     PetscCall(TSDestroy(&ts_nrl));
301     ctx->data = NULL;
302     if (printing) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nSTOP printing NRL Ts\n"));
303   } else if (ts_nrl) {
304     const PetscScalar *x;
305     PetscReal          dt_real, dt;
306     Vec                U;
307     PetscCall(TSGetTimeStep(ts, &dt)); // dt for NEXT time step
308     dt_real = dt * ctx->t_0;
309     PetscCall(TSGetSolution(ts_nrl, &U));
310     if (printing) {
311       PetscCall(VecGetArrayRead(U, &x));
312       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "NRL_e_par= %9.4e NRL_e_perp= %9.4e ", (double)PetscRealPart(x[E_PAR_IDX]), (double)PetscRealPart(x[E_PERP_IDX])));
313       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "NRL_i_par= %9.4e NRL_i_perp= %9.4e\n", (double)PetscRealPart(x[I_PAR_IDX]), (double)PetscRealPart(x[I_PERP_IDX])));
314       /* if (n_cm3[0] > 0) { */
315       /* } else PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\n")); */
316       PetscCall(VecRestoreArrayRead(U, &x));
317     }
318     // we have the next time step, so need to advance now
319     PetscCall(TSSetTimeStep(ts_nrl, dt_real));
320     PetscCall(TSSetMaxSteps(ts_nrl, stepi + 1)); // next step
321     PetscCall(TSSolve(ts_nrl, NULL));
322   } else if (printing) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\n"));
323   if (printing) PetscCall(DMPlexLandauPrintNorms(X, stepi /*id + 1*/));
324   PetscFunctionReturn(PETSC_SUCCESS);
325 }
326 
327 int main(int argc, char **argv)
328 {
329   DM          pack;
330   Vec         X;
331   PetscInt    dim = 2, nDMs;
332   TS          ts, ts_nrl = NULL;
333   Mat         J;
334   Vec        *XsubArray = NULL;
335   LandauCtx  *ctx;
336   PetscMPIInt rank;
337   PetscBool   use_nrl   = PETSC_TRUE;
338   PetscBool   print_nrl = PETSC_FALSE;
339   PetscReal   dt0;
340 
341   PetscFunctionBeginUser;
342   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
343   PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
344   if (rank) { /* turn off output stuff for duplicate runs */
345     PetscCall(PetscOptionsClearValue(NULL, "-ex1_dm_view_e"));
346     PetscCall(PetscOptionsClearValue(NULL, "-ex1_dm_view_i"));
347     PetscCall(PetscOptionsClearValue(NULL, "-ex1_vec_view_e"));
348     PetscCall(PetscOptionsClearValue(NULL, "-ex1_vec_view_i"));
349     PetscCall(PetscOptionsClearValue(NULL, "-info"));
350     PetscCall(PetscOptionsClearValue(NULL, "-snes_converged_reason"));
351     PetscCall(PetscOptionsClearValue(NULL, "-pc_bjkokkos_ksp_converged_reason"));
352     PetscCall(PetscOptionsClearValue(NULL, "-ksp_converged_reason"));
353     PetscCall(PetscOptionsClearValue(NULL, "-ts_adapt_monitor"));
354     PetscCall(PetscOptionsClearValue(NULL, "-ts_monitor"));
355     PetscCall(PetscOptionsClearValue(NULL, "-snes_monitor"));
356   }
357   PetscCall(PetscOptionsGetInt(NULL, NULL, "-dim", &dim, NULL));
358   PetscCall(PetscOptionsGetBool(NULL, NULL, "-use_nrl", &use_nrl, NULL));
359   PetscCall(PetscOptionsGetBool(NULL, NULL, "-print_nrl", &print_nrl, NULL));
360   /* Create a mesh */
361   PetscCall(DMPlexLandauCreateVelocitySpace(PETSC_COMM_SELF, dim, "", &X, &J, &pack));
362   PetscCall(DMSetUp(pack));
363   PetscCall(DMGetApplicationContext(pack, &ctx));
364   PetscCheck(ctx->num_grids == 2, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "Must have two grids: use '-dm_landau_num_species_grid 1,1'");
365   PetscCheck(ctx->num_species == 2, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "Must have two species: use '-dm_landau_num_species_grid 1,1'");
366   PetscCall(DMCompositeGetNumberDM(pack, &nDMs));
367   /* output plot names */
368   PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray));
369   PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only
370   PetscCall(PetscObjectSetName((PetscObject)XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], 0 == 0 ? "ue" : "ui"));
371   PetscCall(PetscObjectSetName((PetscObject)XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 1)], 1 == 0 ? "ue" : "ui"));
372   /* add bimaxwellian anisotropic test */
373   for (PetscInt b_id = 0; b_id < ctx->batch_sz; b_id++) {
374     for (PetscInt grid = 0; grid < ctx->num_grids; grid++) {
375       PetscReal shifts[2];
376       PetscCall(SetMaxwellians(ctx->plex[grid], XsubArray[LAND_PACK_IDX(b_id, grid)], 0.0, ctx->thermal_temps, ctx->n, grid, shifts, ctx));
377     }
378   }
379   PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray));
380   PetscCall(PetscFree(XsubArray));
381   /* plot */
382   PetscCall(DMSetOutputSequenceNumber(ctx->plex[0], -1, 0.0));
383   PetscCall(DMSetOutputSequenceNumber(ctx->plex[1], -1, 0.0));
384   PetscCall(DMViewFromOptions(ctx->plex[0], NULL, "-ex1_dm_view_e"));
385   PetscCall(DMViewFromOptions(ctx->plex[1], NULL, "-ex1_dm_view_i"));
386   /* Create timestepping solver context */
387   PetscCall(TSCreate(PETSC_COMM_SELF, &ts));
388   PetscCall(TSSetDM(ts, pack));
389   PetscCall(TSSetIFunction(ts, NULL, DMPlexLandauIFunction, NULL));
390   PetscCall(TSSetIJacobian(ts, J, J, DMPlexLandauIJacobian, NULL));
391   PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_STEPOVER));
392   PetscCall(TSSetFromOptions(ts));
393   PetscCall(TSSetSolution(ts, X));
394   PetscCall(TSMonitorSet(ts, Monitor, ctx, NULL));
395   /* Create NRL timestepping */
396   if (use_nrl || print_nrl) {
397     Vec NRL_vec;
398     PetscCall(createVec_NRL(ctx, &NRL_vec));
399     PetscCall(createTS_NRL(ctx, NRL_vec));
400     PetscCall(VecDestroy(&NRL_vec));
401   } else ctx->data = NULL;
402   /* solve */
403   PetscCall(TSGetTimeStep(ts, &dt0));
404   PetscCall(TSSetTime(ts, dt0 / 2));
405   PetscCall(TSSolve(ts, X));
406   /* test add field method & output */
407   PetscCall(DMPlexLandauAccess(pack, X, landau_field_print_access_callback, NULL));
408   // run NRL in separate TS
409   ts_nrl = (TS)ctx->data;
410   if (print_nrl) {
411     PetscReal    finalTime, dt_real, tstart = dt0 * ctx->t_0 / 2; // hack
412     Vec          U;
413     PetscScalar *x;
414     PetscInt     nsteps;
415     dt_real = dt0 * ctx->t_0;
416     PetscCall(TSSetTimeStep(ts_nrl, dt_real));
417     PetscCall(TSGetTime(ts, &finalTime));
418     finalTime *= ctx->t_0;
419     PetscCall(TSSetMaxTime(ts_nrl, finalTime));
420     nsteps = (PetscInt)(finalTime / dt_real) + 1;
421     PetscCall(TSSetMaxSteps(ts_nrl, nsteps));
422     PetscCall(TSSetStepNumber(ts_nrl, 0));
423     PetscCall(TSSetTime(ts_nrl, tstart));
424     PetscCall(TSGetSolution(ts_nrl, &U));
425     PetscCall(VecGetArray(U, &x));
426     for (PetscInt i = 0; i < NUM_TEMPS; i++) x[i] = T0[i];
427     PetscCall(VecRestoreArray(U, &x));
428     PetscCall(TSMonitorSet(ts_nrl, Monitor_nrl, ctx, NULL));
429     PetscCall(TSSolve(ts_nrl, NULL));
430   }
431   /* clean up */
432   PetscCall(TSDestroy(&ts));
433   PetscCall(TSDestroy(&ts_nrl));
434   PetscCall(VecDestroy(&X));
435   PetscCall(DMPlexLandauDestroyVelocitySpace(&pack));
436   PetscCall(PetscFinalize());
437   return 0;
438 }
439 
440 /*TEST
441   testset:
442     requires: p4est !complex double defined(PETSC_USE_DMLANDAU_2D)
443     output_file: output/ex1_0.out
444     filter: grep -v "DM"
445     args: -dm_landau_amr_levels_max 0,2 -dm_landau_amr_post_refine 0 -dm_landau_amr_re_levels 2 -dm_landau_domain_radius 6,6 -dm_landau_electron_shift 1.5 -dm_landau_ion_charges 1 -dm_landau_ion_masses 2 -dm_landau_n 1,1 -dm_landau_n_0 1e20 -dm_landau_num_cells 2,4 -dm_landau_num_species_grid 1,1 -dm_landau_re_radius 2 -use_nrl true -print_nrl false -dm_landau_thermal_temps .3,.2 -dm_landau_type p4est -dm_landau_verbose -1 -dm_preallocate_only false -ex1_dm_view_e -ksp_type preonly -pc_type lu -petscspace_degree 3 -snes_converged_reason -snes_rtol 1.e-14 -snes_stol 1.e-14 -ts_adapt_clip .5,1.5 -ts_adapt_dt_max 5 -ts_adapt_monitor -ts_adapt_scale_solve_failed 0.5 -ts_arkimex_type 1bee -ts_time_step .01 -ts_max_snes_failures unlimited -ts_max_steps 1 -ts_max_time 8 -ts_monitor -ts_rtol 1e-2 -ts_type arkimex
446     test:
447       suffix: cpu
448       args: -dm_landau_device_type cpu -dm_landau_use_relativistic_corrections
449     test:
450       suffix: kokkos
451       requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG)
452       args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos
453 
454   testset:
455     requires: !complex defined(PETSC_USE_DMLANDAU_2D) p4est
456     args: -dm_landau_type p4est -dm_landau_num_species_grid 1,1 -dm_landau_n 1,1 -dm_landau_thermal_temps 2,1 -dm_landau_ion_charges 1 -dm_landau_ion_masses 2 -petscspace_degree 2 -ts_type beuler -ts_time_step .1 -ts_max_steps 1 -dm_landau_verbose 2 -ksp_type preonly -pc_type lu -dm_landau_device_type cpu -use_nrl false -print_nrl -snes_rtol 1.e-14 -snes_stol 1.e-14 -snes_converged_reason -dm_landau_device_type cpu
457     nsize: 1
458     test:
459       suffix: sphere
460       args: -dm_landau_sphere -dm_landau_amr_levels_max 1,1 -dm_landau_sphere_inner_radius_90degree_scale .55 -dm_landau_sphere_inner_radius_45degree_scale .5
461     test:
462       suffix: re
463       args: -dm_landau_num_cells 4,4 -dm_landau_amr_levels_max 0,2 -dm_landau_z_radius_pre 2.5 -dm_landau_z_radius_post 3.75 -dm_landau_amr_z_refine_pre 1 -dm_landau_amr_z_refine_post 1 -dm_landau_electron_shift 1.25 -info :vec
464 
465 TEST*/
466