xref: /petsc/src/ts/utils/dmplexlandau/tutorials/ex2.c (revision efa12513287cff49a2b9648ae83199dcbfaad71a)
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 
8 /* data for runaway electron model */
9 typedef struct REctx_struct {
10   PetscErrorCode (*test)(TS, Vec, DM, PetscInt, PetscReal, PetscBool,  LandauCtx *, struct REctx_struct *);
11   PetscErrorCode (*impuritySrcRate)(PetscReal, PetscReal *, LandauCtx*);
12   PetscErrorCode (*E)(Vec, Vec, PetscInt, PetscReal, LandauCtx*, PetscReal *);
13   PetscReal     T_cold;        /* temperature of newly ionized electrons and impurity ions */
14   PetscReal     ion_potential; /* ionization potential of impurity */
15   PetscReal     Ne_ion;        /* effective number of electrons shed in ioization of impurity */
16   PetscReal     Ez_initial;
17   PetscReal     L;             /* inductance */
18   Vec           X_0;
19   PetscInt      imp_idx;       /* index for impurity ionizing sink */
20   PetscReal     pulse_start;
21   PetscReal     pulse_width;
22   PetscReal     pulse_rate;
23   PetscReal     current_rate;
24   PetscInt      plotIdx;
25   PetscInt      plotStep;
26   PetscInt      idx; /* cache */
27   PetscReal     j; /* cache */
28   PetscReal     plotDt;
29   PetscBool     plotting;
30   PetscBool     use_spitzer_eta;
31   Vec           imp_src;
32 } REctx;
33 
34 static const PetscReal kev_joul = 6.241506479963235e+15; /* 1/1000e */
35 
36 #define RE_CUT 5.
37 /* < v, u_re * v * q > */
38 static void f0_j_re(PetscInt dim, PetscInt Nf, PetscInt NfAux,
39                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
40                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
41                     PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
42 {
43   PetscReal n_e = PetscRealPart(u[0]);
44   if (dim==2) {
45     if (x[1] > RE_CUT || x[1] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */
46       *f0 = n_e * 2.*PETSC_PI*x[0] * x[1] * constants[0]; /* n * r * v_|| * q */
47     } else {
48       *f0 = 0;
49     }
50   } else {
51     if (x[2] > RE_CUT || x[2] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */
52       *f0 = n_e                * x[2] * constants[0];
53     } else {
54       *f0 = 0;
55     }
56   }
57 }
58 
59 /* sum < v, u*v*q > */
60 static void f0_jz_sum(PetscInt dim, PetscInt Nf, PetscInt NfAux,
61                    const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
62                    const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
63                    PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
64 {
65   PetscInt ii;
66   f0[0] = 0;
67   if (dim==2) {
68     for (ii=0;ii<numConstants;ii++) f0[0] += u[ii] * 2.*PETSC_PI*x[0] * x[1] * constants[ii]; /* n * r * v_|| * q */
69   } else {
70     for (ii=0;ii<numConstants;ii++) f0[0] += u[ii]                * x[2] * constants[ii]; /* n * v_|| * q  */
71   }
72 }
73 
74 /* < v, n_e > */
75 static void f0_n(PetscInt dim, PetscInt Nf, PetscInt NfAux,
76                   const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
77                   const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
78                   PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
79 {
80   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
81   if (dim==2) f0[0] = 2.*PETSC_PI*x[0]*u[ii];
82   else {
83     f0[0] =                        u[ii];
84   }
85 }
86 
87 /* < v, n_e v_|| > */
88 static void f0_vz(PetscInt dim, PetscInt Nf, PetscInt NfAux,
89                    const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
90                    const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
91                    PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
92 {
93   PetscInt ii = (PetscInt)PetscRealPart(constants[0]);
94   if (dim==2) f0[0] = u[ii] * 2.*PETSC_PI*x[0] * x[1]; /* n r v_|| */
95   else {
96     f0[0] =           u[ii] *                x[2]; /* n v_|| */
97   }
98 }
99 
100 /* < v, n_e (v-shift) > */
101 static void f0_ve_shift(PetscInt dim, PetscInt Nf, PetscInt NfAux,
102                          const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
103                          const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
104                          PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
105 {
106   PetscReal vz = numConstants==1 ? PetscRealPart(constants[0]) : 0;
107   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 */
108   else {
109     *f0 =           u[0] *                PetscSqrtReal(x[0]*x[0] + x[1]*x[1] + (x[2]-vz)*(x[2]-vz)); /* n v */
110   }
111 }
112 
113  /* CalculateE - Calculate the electric field  */
114  /*  T        -- Electron temperature  */
115  /*  n        -- Electron density  */
116  /*  lnLambda --   */
117  /*  eps0     --  */
118  /*  E        -- output E, input \hat E */
119 static PetscReal CalculateE(PetscReal Tev, PetscReal n, PetscReal lnLambda, PetscReal eps0, PetscReal *E)
120 {
121   PetscReal c,e,m;
122 
123   PetscFunctionBegin;
124   c = 299792458;
125   e = 1.602176e-19;
126   m = 9.10938e-31;
127   if (1) {
128     double Ec, Ehat = *E, betath = PetscSqrtReal(2*Tev*e/(m*c*c)), j0 = Ehat * 7/(PetscSqrtReal(2)*2) * PetscPowReal(betath,3) * n * e * c;
129     Ec = n*lnLambda*PetscPowReal(e,3) / (4*PETSC_PI*PetscPowReal(eps0,2)*m*c*c);
130     *E = Ec;
131     PetscPrintf(PETSC_COMM_WORLD, "CalculateE j0=%g Ec = %g\n",j0,Ec);
132   } else {
133     PetscReal Ed, vth;
134     vth = PetscSqrtReal(8*Tev*e/(m*PETSC_PI));
135     Ed =  n*lnLambda*PetscPowReal(e,3) / (4*PETSC_PI*PetscPowReal(eps0,2)*m*vth*vth);
136     *E = Ed;
137   }
138   PetscFunctionReturn(0);
139 }
140 
141 static PetscReal Spitzer(PetscReal m_e, PetscReal e, PetscReal Z, PetscReal epsilon0,  PetscReal lnLam, PetscReal kTe_joules)
142 {
143   PetscReal Fz = (1+1.198*Z+0.222*Z*Z)/(1+2.966*Z+0.753*Z*Z), eta;
144   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);
145   return eta;
146 }
147 
148 /*  */
149 static PetscErrorCode testNone(TS ts, Vec X, DM plex, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
150 {
151   PetscFunctionBeginUser;
152   PetscFunctionReturn(0);
153 }
154 
155 /*  */
156 static PetscErrorCode testSpitzer(TS ts, Vec X, DM plex, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
157 {
158   PetscErrorCode    ierr;
159   PetscInt          ii;
160   PetscDS           prob;
161   static PetscReal  old_ratio = 1e10;
162   TSConvergedReason reason;
163   PetscReal         J,J_re,spit_eta,Te_kev=0,E,ratio,Z,n_e,v,v2;
164   PetscScalar       user[2] = {0.,ctx->charges[0]}, constants[LANDAU_MAX_SPECIES],tt[LANDAU_MAX_SPECIES],vz;
165   PetscReal         dt;
166 
167   PetscFunctionBeginUser;
168   if (ctx->num_species<2) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "ctx->num_species %D < 2",ctx->num_species);
169   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
170   ierr = TSGetTimeStep(ts,&dt);CHKERRQ(ierr);
171   /* get current */
172   for (ii=0;ii<ctx->num_species;ii++) constants[ii] = ctx->charges[ii];
173   ierr = PetscDSSetConstants(prob, ctx->num_species, constants);CHKERRQ(ierr);
174   ierr = PetscDSSetObjective(prob, 0, &f0_jz_sum);CHKERRQ(ierr);
175   ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
176   J = -ctx->n_0*ctx->v_0*PetscRealPart(tt[0]);
177   /* get N_e */
178   ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
179   ierr = PetscDSSetObjective(prob, 0, &f0_n);CHKERRQ(ierr);
180   ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
181   n_e = PetscRealPart(tt[0])*ctx->n_0;
182   /* Z */
183   Z = -ctx->charges[1]/ctx->charges[0];
184   if (ctx->charges[rectx->imp_idx] != ctx->charges[1]) {
185     PetscReal   Znew, n_i1,n_ix;
186     user[0] = 1.0;
187     ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
188     ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
189     n_i1 = PetscRealPart(tt[0])*ctx->n_0;
190     user[0] = (PetscScalar)rectx->imp_idx;
191     ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
192     ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
193     n_ix = PetscRealPart(tt[0])*ctx->n_0;
194     Znew = -(ctx->charges[1]*n_i1 + ctx->charges[rectx->imp_idx]*n_ix)/(ctx->charges[0]*(n_i1 + n_ix));
195     Z = Znew;
196   }
197   /* remove drift */
198   if (0) {
199     user[0] = .0;
200     ierr = PetscDSSetConstants(prob, 2, user);CHKERRQ(ierr);
201     ierr = PetscDSSetObjective(prob, 0, &f0_vz);CHKERRQ(ierr);
202     ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
203     vz = ctx->n_0*PetscRealPart(tt[0])/n_e; /* non-dimensional */
204   } else vz = 0;
205   /* thermal velocity */
206   ierr = PetscDSSetConstants(prob, 1, &vz);CHKERRQ(ierr);
207   ierr = PetscDSSetObjective(prob, 0, &f0_ve_shift);CHKERRQ(ierr);
208   ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
209   v = ctx->n_0*ctx->v_0*PetscRealPart(tt[0])/n_e;   /* remove number density to get velocity */
210   v2 = PetscSqr(v);                                 /* use real space: m^2 / s^2 */
211   Te_kev = (v2*ctx->masses[0]*PETSC_PI/8)*kev_joul; /* temperature in kev */
212   spit_eta = Spitzer(ctx->masses[0],-ctx->charges[0],Z,ctx->epsilon0,ctx->lnLam,Te_kev/kev_joul); /* kev --> J (kT) */
213   if (rectx->use_spitzer_eta) E = ctx->Ez = spit_eta*J;
214   else E = ctx->Ez; /* keep real E */
215 
216   if (0) {
217     ierr = PetscDSSetConstants(prob, 1, &constants[0]);CHKERRQ(ierr);
218     ierr = PetscDSSetObjective(prob, 0, &f0_j_re);CHKERRQ(ierr);
219     ierr = DMPlexComputeIntegralFEM(plex,X,tt,NULL);CHKERRQ(ierr);
220   } else tt[0] = 0;
221   J_re = -ctx->n_0*ctx->v_0*PetscRealPart(tt[0]);
222 
223   ratio = E/J/spit_eta;
224   if (stepi>10 && !rectx->use_spitzer_eta && ((old_ratio-ratio < 1.e-3 && ratio > 0.99 && ratio < 1.01) || (old_ratio-ratio < 1.e-4 && ratio > 0.98 && ratio < 1.02))) {
225     rectx->pulse_start = time + dt/2;
226     rectx->use_spitzer_eta = PETSC_TRUE;
227   }
228   ierr = TSGetConvergedReason(ts,&reason);CHKERRQ(ierr);
229   ierr = TSGetConvergedReason(ts,&reason);CHKERRQ(ierr);
230   if ((rectx->plotting) || stepi == 0 || reason || rectx->pulse_start == time + dt/2) {
231     ierr = 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\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 + dt/2 ? "normal" : "transition");CHKERRQ(ierr);
232   }
233   old_ratio = ratio;
234   PetscFunctionReturn(0);
235 }
236 
237 static const double ppp = 2;
238 static void f0_0_diff_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux,
239                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
240                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
241                           PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
242 {
243   LandauCtx       *ctx = (LandauCtx *)constants;
244   REctx           *rectx = (REctx*)ctx->data;
245   PetscInt        ii = rectx->idx, i;
246   const PetscReal kT_m = ctx->k*ctx->thermal_temps[ii]/ctx->masses[ii]; /* kT/m */
247   const PetscReal n = ctx->n[ii];
248   PetscReal       diff, f_maxwell, v2 = 0, theta = 2*kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
249   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
250   f_maxwell = n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
251   diff = 2.*PETSC_PI*x[0]*(PetscRealPart(u[ii]) - f_maxwell);
252   f0[0] = PetscPowReal(diff,ppp);
253 }
254 static void f0_0_maxwellian_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux,
255                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
256                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
257                           PetscReal t, const PetscReal x[],  PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0)
258 {
259   LandauCtx       *ctx = (LandauCtx *)constants;
260   REctx           *rectx = (REctx*)ctx->data;
261   PetscInt        ii = rectx->idx, i;
262   const PetscReal kT_m = ctx->k*ctx->thermal_temps[ii]/ctx->masses[ii]; /* kT/m */
263   const PetscReal n = ctx->n[ii];
264   PetscReal       f_maxwell, v2 = 0, theta = 2*kT_m/(ctx->v_0*ctx->v_0); /* theta = 2kT/mc^2 */
265   for (i = 0; i < dim; ++i) v2 += x[i]*x[i];
266   f_maxwell = 2.*PETSC_PI*x[0] * n*PetscPowReal(PETSC_PI*theta,-1.5)*(PetscExpReal(-v2/theta));
267   f0[0] = PetscPowReal(f_maxwell,ppp);
268 }
269 
270 /*  */
271 static PetscErrorCode testStable(TS ts, Vec X, DM plex, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx)
272 {
273   PetscErrorCode    ierr;
274   PetscDS           prob;
275   Vec               X2;
276   PetscReal         ediff,idiff=0,lpm0,lpm1=1;
277   PetscScalar       tt[LANDAU_MAX_SPECIES];
278   DM                dm;
279 
280   PetscFunctionBeginUser;
281   ierr = VecGetDM(X, &dm);CHKERRQ(ierr);
282   ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
283   ierr = VecDuplicate(X,&X2);CHKERRQ(ierr);
284   ierr = VecCopy(X,X2);CHKERRQ(ierr);
285   if (!rectx->X_0) {
286     ierr = VecDuplicate(X,&rectx->X_0);CHKERRQ(ierr);
287     ierr = VecCopy(X,rectx->X_0);CHKERRQ(ierr);
288   }
289   ierr = VecAXPY(X,-1.0,rectx->X_0);CHKERRQ(ierr);
290   ierr = PetscDSSetConstants(prob, sizeof(LandauCtx)/sizeof(PetscScalar), (PetscScalar*)ctx);CHKERRQ(ierr);
291   rectx->idx = 0;
292   ierr = PetscDSSetObjective(prob, 0, &f0_0_diff_lp);CHKERRQ(ierr);
293   ierr = DMPlexComputeIntegralFEM(plex,X2,tt,NULL);CHKERRQ(ierr);
294   ediff = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
295   ierr = PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp);CHKERRQ(ierr);
296   ierr = DMPlexComputeIntegralFEM(plex,X2,tt,NULL);CHKERRQ(ierr);
297   lpm0 = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
298   if (ctx->num_species>1) {
299     rectx->idx = 1;
300     ierr = PetscDSSetObjective(prob, 0, &f0_0_diff_lp);CHKERRQ(ierr);
301     ierr = DMPlexComputeIntegralFEM(plex,X2,tt,NULL);CHKERRQ(ierr);
302     idiff = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
303     ierr = PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp);CHKERRQ(ierr);
304     ierr = DMPlexComputeIntegralFEM(plex,X2,tt,NULL);CHKERRQ(ierr);
305     lpm1 = PetscPowReal(PetscRealPart(tt[0]),1./ppp);
306   }
307   ierr = 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);CHKERRQ(ierr);
308   /* view */
309   ierr = VecViewFromOptions(X,NULL,"-vec_view_diff");CHKERRQ(ierr);
310   ierr = VecCopy(X2,X);CHKERRQ(ierr);
311   ierr = VecDestroy(&X2);CHKERRQ(ierr);
312   if (islast) {
313     ierr = VecDestroy(&rectx->X_0);CHKERRQ(ierr);
314     rectx->X_0 = NULL;
315   }
316   PetscFunctionReturn(0);
317 }
318 
319 static PetscErrorCode EInduction(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
320 {
321   REctx             *rectx = (REctx*)ctx->data;
322   PetscErrorCode    ierr;
323   PetscInt          ii;
324   DM                dm,plex;
325   PetscScalar       tt[LANDAU_MAX_SPECIES], constants[LANDAU_MAX_SPECIES];
326   PetscReal         dJ_dt;
327   PetscDS           prob;
328 
329   PetscFunctionBeginUser;
330   for (ii=0;ii<ctx->num_species;ii++) constants[ii] = ctx->charges[ii];
331   ierr = VecGetDM(X, &dm);CHKERRQ(ierr);
332   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
333   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
334   /* get d current / dt */
335   ierr = PetscDSSetConstants(prob, ctx->num_species, constants);CHKERRQ(ierr);
336   ierr = PetscDSSetObjective(prob, 0, &f0_jz_sum);CHKERRQ(ierr);
337   if (!X_t) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "X_t");
338   ierr = DMPlexComputeIntegralFEM(plex,X_t,tt,NULL);CHKERRQ(ierr);
339   dJ_dt = -ctx->n_0*ctx->v_0*PetscRealPart(tt[0])/ctx->t_0;
340   /* E induction */
341   *a_E = -rectx->L*dJ_dt + rectx->Ez_initial;
342   ierr = DMDestroy(&plex);CHKERRQ(ierr);
343   PetscFunctionReturn(0);
344 }
345 
346 static PetscErrorCode EConstant(Vec X,  Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
347 {
348   PetscFunctionBeginUser;
349   *a_E = ctx->Ez;
350   PetscFunctionReturn(0);
351 }
352 
353 static PetscErrorCode ENone(Vec X,  Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E)
354 {
355   PetscFunctionBeginUser;
356   *a_E = 0;
357   PetscFunctionReturn(0);
358 }
359 
360 /* ------------------------------------------------------------------- */
361 /*
362    FormSource - Evaluates source terms F(t).
363 
364    Input Parameters:
365 .  ts - the TS context
366 .  time -
367 .  X_dummmy - input vector
368 .  dummy - optional user-defined context, as set by SNESSetFunction()
369 
370    Output Parameter:
371 .  F - function vector
372  */
373 static PetscErrorCode FormSource(TS ts,PetscReal ftime,Vec X_dummmy, Vec F,void *dummy)
374 {
375   PetscReal      new_imp_rate;
376   LandauCtx      *ctx;
377   DM             dm,plex;
378   PetscErrorCode ierr;
379   REctx          *rectx;
380 
381   PetscFunctionBeginUser;
382   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
383   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
384   rectx = (REctx*)ctx->data;
385   /* check for impurities */
386   ierr = rectx->impuritySrcRate(ftime,&new_imp_rate,ctx);CHKERRQ(ierr);
387   if (new_imp_rate != 0) {
388     if (new_imp_rate != rectx->current_rate) {
389       PetscInt       ii;
390       PetscReal      dne_dt,dni_dt,tilda_ns[LANDAU_MAX_SPECIES],temps[LANDAU_MAX_SPECIES];
391       PetscDS        prob; /* diagnostics only */
392       rectx->current_rate = new_imp_rate;
393       ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
394       ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
395       dni_dt = new_imp_rate              /* *ctx->t_0 */; /* fully ionized immediately, no normalize, stay in non-dim */
396       dne_dt = new_imp_rate*rectx->Ne_ion/* *ctx->t_0 */;
397       ierr = PetscInfo4(dm, "\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);CHKERRQ(ierr);
398       for (ii=1;ii<LANDAU_MAX_SPECIES;ii++) tilda_ns[ii] = 0;
399       for (ii=1;ii<LANDAU_MAX_SPECIES;ii++)    temps[ii] = 1;
400       tilda_ns[0] = dne_dt;        tilda_ns[rectx->imp_idx] = dni_dt;
401       temps[0]    = rectx->T_cold;    temps[rectx->imp_idx] = rectx->T_cold;
402       /* add it */
403       if (!rectx->imp_src) {
404         ierr = DMCreateGlobalVector(dm, &rectx->imp_src);CHKERRQ(ierr);
405         ierr = PetscObjectSetName((PetscObject)rectx->imp_src, "source");CHKERRQ(ierr);
406       }
407       ierr = VecZeroEntries(rectx->imp_src);CHKERRQ(ierr);
408       ierr = LandauAddMaxwellians(plex,rectx->imp_src,ftime,temps,tilda_ns,ctx);CHKERRQ(ierr);
409       /* clean up */
410       ierr = DMDestroy(&plex);CHKERRQ(ierr);
411       ierr = VecViewFromOptions(rectx->imp_src,NULL,"-vec_view_sources");CHKERRQ(ierr);
412     }
413     ierr = VecCopy(rectx->imp_src,F);CHKERRQ(ierr);
414   } else {
415     if (rectx->current_rate != 0 && rectx->imp_src) {
416       ierr = VecZeroEntries(rectx->imp_src);CHKERRQ(ierr);
417     }
418     ierr = VecZeroEntries(F);CHKERRQ(ierr);
419     rectx->current_rate = 0;
420   }
421   PetscFunctionReturn(0);
422 }
423 PetscErrorCode Monitor(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx)
424 {
425   LandauCtx         *ctx = (LandauCtx*) actx;   /* user-defined application context */
426   REctx             *rectx = (REctx*)ctx->data;
427   DM                dm,plex;
428   TSConvergedReason reason;
429   PetscErrorCode    ierr;
430   PetscFunctionBeginUser;
431   ierr = VecGetDM(X, &dm);CHKERRQ(ierr);
432   if (stepi > rectx->plotStep && rectx->plotting) {
433     rectx->plotting = PETSC_FALSE; /* was doing diagnostics, now done */
434     rectx->plotIdx++;
435   }
436   /* view */
437   ierr = TSGetConvergedReason(ts,&reason);CHKERRQ(ierr);
438   if (time/rectx->plotDt >= (PetscReal)rectx->plotIdx || reason) {
439     if ((reason || stepi==0 || rectx->plotIdx%10==0) && ctx->verbose > 0){
440       /* print norms */
441       ierr = LandauPrintNorms(X, stepi);CHKERRQ(ierr);
442     }
443     if (!rectx->plotting) { /* first step of possible backtracks */
444       rectx->plotting = PETSC_TRUE;
445       ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
446       /* diagnostics + change E field with Sptizer (not just a monitor) */
447       ierr = rectx->test(ts,X,plex,stepi,time,reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx);CHKERRQ(ierr);
448       ierr = DMDestroy(&plex);CHKERRQ(ierr);
449     } else {
450       PetscPrintf(PETSC_COMM_WORLD, "\t\t ERROR SKIP test spit ------\n");
451       rectx->plotting = PETSC_TRUE;
452     }
453     /* view, overwrite step when back tracked */
454     ierr = DMSetOutputSequenceNumber(dm, rectx->plotIdx, time*ctx->t_0);CHKERRQ(ierr);
455     ierr = VecViewFromOptions(X,NULL,"-vec_view");CHKERRQ(ierr);
456     rectx->plotStep = stepi;
457   } else {
458     if (rectx->plotting) PetscPrintf(PETSC_COMM_WORLD," ERROR rectx->plotting=%D step %D\n",rectx->plotting,stepi);
459     ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
460     /* diagnostics + change E field with Sptizer (not just a monitor) - can we lag this? */
461     ierr = rectx->test(ts,X,plex,stepi,time,reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx);CHKERRQ(ierr);
462     ierr = DMDestroy(&plex);CHKERRQ(ierr);
463   }
464   /* parallel check */
465   if (reason && ctx->verbose > 0) {
466     PetscReal    val,rval;
467     PetscMPIInt  rank;
468     ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRMPI(ierr);
469     ierr = TSGetSolution(ts, &X);CHKERRQ(ierr);
470     ierr = VecNorm(X,NORM_2,&val);CHKERRQ(ierr);
471     ierr = MPIU_Allreduce(&val,&rval,1,MPIU_REAL,MPIU_MAX,PETSC_COMM_WORLD);CHKERRQ(ierr);
472     if (rval != val) {
473       ierr = PetscPrintf(PETSC_COMM_SELF, " ***** [%D] ERROR max |x| = %22.15e, my |x| = %22.15e diff=%e\n",rank,rval,val,rval-val);CHKERRQ(ierr);
474     } else {
475       ierr = PetscPrintf(PETSC_COMM_WORLD, "[%D] parallel consistency check OK\n",rank);CHKERRQ(ierr);
476     }
477   }
478   rectx->idx = 0;
479   PetscFunctionReturn(0);
480 }
481 
482 PetscErrorCode PreStep(TS ts)
483 {
484   PetscErrorCode ierr;
485   LandauCtx      *ctx;
486   REctx          *rectx;
487   DM             dm;
488   PetscInt       stepi;
489   PetscReal      time;
490   Vec            X;
491 
492   PetscFunctionBeginUser;
493   /* not used */
494   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
495   ierr = TSGetTime(ts,&time);CHKERRQ(ierr);
496   ierr = TSGetSolution(ts,&X);CHKERRQ(ierr);
497   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
498   rectx = (REctx*)ctx->data;
499   ierr = TSGetStepNumber(ts, &stepi);CHKERRQ(ierr);
500   /* update E */
501   ierr = rectx->E(X, NULL, stepi, time, ctx, &ctx->Ez);CHKERRQ(ierr);
502   PetscFunctionReturn(0);
503 }
504 
505 /* 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) */
506 static PetscErrorCode stepSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
507 {
508   REctx         *rectx = (REctx*)ctx->data;
509 
510   PetscFunctionBeginUser;
511   if (time >= rectx->pulse_start) *rho = rectx->pulse_rate;
512   else *rho = 0.;
513   PetscFunctionReturn(0);
514 }
515 static PetscErrorCode zeroSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
516 {
517   PetscFunctionBeginUser;
518   *rho = 0.;
519   PetscFunctionReturn(0);
520 }
521 static PetscErrorCode pulseSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx)
522 {
523   REctx *rectx = (REctx*)ctx->data;
524 
525   PetscFunctionBeginUser;
526   if (rectx->pulse_start == PETSC_MAX_REAL) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"'-ex2_pulse_start_time X' must be used with '-ex2_impurity_source_type pulse'");
527   if (time < rectx->pulse_start || time > rectx->pulse_start + 3*rectx->pulse_width) *rho = 0;
528   /* else if (0) { */
529   /*   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); */
530   /*   *rho = rectx->pulse_rate * (cycle / (stop - start)) / (1 + PetscExpReal(steep*(PetscSinReal(2*PETSC_PI*((t - start)/cycle + xi)) - PetscSinReal(2*PETSC_PI*xi)))); */
531   /* } else if (0) { */
532   /*   double x = 2*(time - rectx->pulse_start)/(3*rectx->pulse_width) - 1; */
533   /*   if (x==1 || x==-1) *rho = 0; */
534   /*   else *rho = rectx->pulse_rate * PetscExpReal(-1/(1-x*x)); */
535   /* } */
536   else {
537     double x = PetscSinReal((time-rectx->pulse_start)/(3*rectx->pulse_width)*2*PETSC_PI - PETSC_PI/2) + 1; /* 0:2, integrates to 1.0 */
538     *rho = rectx->pulse_rate * x / (3*rectx->pulse_width);
539     if (!rectx->use_spitzer_eta) rectx->use_spitzer_eta = PETSC_TRUE; /* use it next time */
540   }
541   PetscFunctionReturn(0);
542 }
543 
544 #undef __FUNCT__
545 #define __FUNCT__ "ProcessREOptions"
546 static PetscErrorCode ProcessREOptions(REctx *rectx, const LandauCtx *ctx, DM dm, const char prefix[])
547 {
548   PetscErrorCode    ierr;
549   PetscFunctionList plist = NULL, testlist = NULL, elist = NULL;
550   char              pname[256],testname[256],ename[256];
551   DM                dm_dummy;
552   PetscBool         Connor_E = PETSC_FALSE;
553 
554   PetscFunctionBeginUser;
555   ierr = DMCreate(PETSC_COMM_WORLD,&dm_dummy);CHKERRQ(ierr);
556   rectx->Ne_ion = 1;                 /* number of electrons given up by impurity ion */
557   rectx->T_cold = .005;              /* kev */
558   rectx->ion_potential = 15;         /* ev */
559   rectx->L = 2;
560   rectx->X_0 = NULL;
561   rectx->imp_idx = ctx->num_species - 1; /* default ionized impurity as last one */
562   rectx->pulse_start = PETSC_MAX_REAL;
563   rectx->pulse_width = 1;
564   rectx->plotStep = PETSC_MAX_INT;
565   rectx->pulse_rate = 1.e-1;
566   rectx->current_rate = 0;
567   rectx->plotIdx = 0;
568   rectx->imp_src = 0;
569   rectx->j = 0;
570   rectx->plotDt = 1.0;
571   rectx->plotting = PETSC_FALSE;
572   rectx->use_spitzer_eta = PETSC_FALSE;
573   rectx->idx = 0;
574   /* Register the available impurity sources */
575   ierr = PetscFunctionListAdd(&plist,"step",&stepSrc);CHKERRQ(ierr);
576   ierr = PetscFunctionListAdd(&plist,"none",&zeroSrc);CHKERRQ(ierr);
577   ierr = PetscFunctionListAdd(&plist,"pulse",&pulseSrc);CHKERRQ(ierr);
578   ierr = PetscStrcpy(pname,"none");CHKERRQ(ierr);
579   ierr = PetscFunctionListAdd(&testlist,"none",&testNone);CHKERRQ(ierr);
580   ierr = PetscFunctionListAdd(&testlist,"spitzer",&testSpitzer);CHKERRQ(ierr);
581   ierr = PetscFunctionListAdd(&testlist,"stable",&testStable);CHKERRQ(ierr);
582   ierr = PetscStrcpy(testname,"none");CHKERRQ(ierr);
583   ierr = PetscFunctionListAdd(&elist,"none",&ENone);CHKERRQ(ierr);
584   ierr = PetscFunctionListAdd(&elist,"induction",&EInduction);CHKERRQ(ierr);
585   ierr = PetscFunctionListAdd(&elist,"constant",&EConstant);CHKERRQ(ierr);
586   ierr = PetscStrcpy(ename,"constant");CHKERRQ(ierr);
587 
588   ierr = PetscOptionsBegin(PETSC_COMM_SELF, prefix, "Options for Runaway/seed electron model", "none");CHKERRQ(ierr);
589   ierr = PetscOptionsReal("-ex2_plot_dt", "Plotting interval", "xgc_dmplex.c", rectx->plotDt, &rectx->plotDt, NULL);CHKERRQ(ierr);
590   if (rectx->plotDt < 0) rectx->plotDt = 1e30;
591   if (rectx->plotDt == 0) rectx->plotDt = 1e-30;
592   ierr = PetscOptionsFList("-ex2_impurity_source_type","Name of impurity source to run","",plist,pname,pname,sizeof(pname),NULL);CHKERRQ(ierr);
593   ierr = PetscOptionsFList("-ex2_test_type","Name of test to run","",testlist,testname,testname,sizeof(testname),NULL);CHKERRQ(ierr);
594   ierr = PetscOptionsInt("-ex2_impurity_index", "index of sink for impurities", "none", rectx->imp_idx, &rectx->imp_idx, NULL);CHKERRQ(ierr);
595   if ((rectx->imp_idx >= ctx->num_species || rectx->imp_idx < 1) && ctx->num_species > 1) SETERRQ1(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);
596   ierr = PetscOptionsFList("-ex2_e_field_type","Electric field type","",elist,ename,ename,sizeof(ename),NULL);CHKERRQ(ierr);
597   rectx->Ne_ion = -ctx->charges[rectx->imp_idx]/ctx->charges[0];
598   ierr = PetscOptionsReal("-ex2_t_cold","Temperature of cold electron and ions after ionization in keV","none",rectx->T_cold,&rectx->T_cold, NULL);CHKERRQ(ierr);
599   ierr = PetscOptionsReal("-ex2_pulse_start_time","Time at which pulse happens for 'pulse' source","none",rectx->pulse_start,&rectx->pulse_start, NULL);CHKERRQ(ierr);
600   ierr = PetscOptionsReal("-ex2_pulse_width_time","Width of pulse 'pulse' source","none",rectx->pulse_width,&rectx->pulse_width, NULL);CHKERRQ(ierr);
601   ierr = PetscOptionsReal("-ex2_pulse_rate","Number density of pulse for 'pulse' source","none",rectx->pulse_rate,&rectx->pulse_rate, NULL);CHKERRQ(ierr);
602   rectx->T_cold *= 1.16e7; /* convert to Kelvin */
603   ierr = PetscOptionsReal("-ex2_ion_potential","Potential to ionize impurity (should be array) in ev","none",rectx->ion_potential,&rectx->ion_potential, NULL);CHKERRQ(ierr);
604   ierr = PetscOptionsReal("-ex2_inductance","Inductance E feild","none",rectx->L,&rectx->L, NULL);CHKERRQ(ierr);
605   ierr = PetscOptionsBool("-ex2_connor_e_field_units","Scale Ex but Connor-Hastie E_c","none",Connor_E,&Connor_E, NULL);CHKERRQ(ierr);
606   ierr = PetscInfo5(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);CHKERRQ(ierr);
607   ierr = PetscOptionsEnd();CHKERRQ(ierr);
608   /* get impurity source rate function */
609   ierr = PetscFunctionListFind(plist,pname,&rectx->impuritySrcRate);CHKERRQ(ierr);
610   if (!rectx->impuritySrcRate) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No impurity source function found '%s'",pname);
611   ierr = PetscFunctionListFind(testlist,testname,&rectx->test);CHKERRQ(ierr);
612   if (!rectx->test) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No test found '%s'",testname);
613   ierr = PetscFunctionListFind(elist,ename,&rectx->E);CHKERRQ(ierr);
614   if (!rectx->E) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_ARG_WRONG,"No E field function found '%s'",ename);
615   ierr = PetscFunctionListDestroy(&plist);CHKERRQ(ierr);
616   ierr = PetscFunctionListDestroy(&testlist);CHKERRQ(ierr);
617   ierr = PetscFunctionListDestroy(&elist);CHKERRQ(ierr);
618 
619   /* convert E from Connor-Hastie E_c units to real if doing Spitzer E */
620   if (Connor_E) {
621     PetscReal E = ctx->Ez, Tev = ctx->thermal_temps[0]*8.621738e-5, n = ctx->n_0*ctx->n[0];
622     CalculateE(Tev, n, ctx->lnLam, ctx->epsilon0, &E);
623     ((LandauCtx*)ctx)->Ez *= E;
624   }
625   ierr = DMDestroy(&dm_dummy);CHKERRQ(ierr);
626   PetscFunctionReturn(0);
627 }
628 
629 int main(int argc, char **argv)
630 {
631   DM             dm;
632   Vec            X;
633   PetscErrorCode ierr;
634   PetscInt       dim = 2;
635   TS             ts;
636   Mat            J;
637   PetscDS        prob;
638   LandauCtx      *ctx;
639   REctx          *rectx;
640 #if defined PETSC_USE_LOG
641   PetscLogStage stage;
642 #endif
643   PetscMPIInt    rank;
644   ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
645   ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
646   if (rank) { /* turn off output stuff for duplicate runs */
647     ierr = PetscOptionsClearValue(NULL,"-dm_view");CHKERRQ(ierr);
648     ierr = PetscOptionsClearValue(NULL,"-vec_view");CHKERRQ(ierr);
649     ierr = PetscOptionsClearValue(NULL,"-dm_view_diff");CHKERRQ(ierr);
650     ierr = PetscOptionsClearValue(NULL,"-vec_view_diff");CHKERRQ(ierr);
651     ierr = PetscOptionsClearValue(NULL,"-dm_view_sources");CHKERRQ(ierr);
652     ierr = PetscOptionsClearValue(NULL,"-vec_view_sources");CHKERRQ(ierr);
653     ierr = PetscOptionsClearValue(NULL,"-info");CHKERRQ(ierr); /* this does not work */
654   }
655   ierr = PetscOptionsGetInt(NULL,NULL, "-dim", &dim, NULL);CHKERRQ(ierr);
656   /* Create a mesh */
657   ierr = LandauCreateVelocitySpace(PETSC_COMM_WORLD, dim, "", &X, &J, &dm);CHKERRQ(ierr);
658   ierr = PetscObjectSetName((PetscObject)J, "Jacobian");CHKERRQ(ierr);
659   ierr = LandauCreateMassMatrix(dm, NULL);CHKERRQ(ierr);
660   ierr = DMGetApplicationContext(dm, &ctx);CHKERRQ(ierr);
661   ierr = DMSetUp(dm);CHKERRQ(ierr);
662   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
663   /* context */
664   ierr = PetscNew(&rectx);CHKERRQ(ierr);
665   ctx->data = rectx;
666   ierr = ProcessREOptions(rectx,ctx,dm,"");CHKERRQ(ierr);
667   ierr = DMSetOutputSequenceNumber(dm, 0, 0.0);CHKERRQ(ierr);
668   ierr = DMViewFromOptions(dm,NULL,"-dm_view");CHKERRQ(ierr);
669   ierr = DMViewFromOptions(dm,NULL,"-dm_view_sources");CHKERRQ(ierr);
670   ierr = DMViewFromOptions(dm,NULL,"-dm_view_diff");CHKERRQ(ierr);
671   /* Create timestepping solver context */
672   ierr = TSCreate(PETSC_COMM_SELF,&ts);CHKERRQ(ierr);
673   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
674   ierr = TSSetIFunction(ts,NULL,LandauIFunction,NULL);CHKERRQ(ierr);
675   ierr = TSSetIJacobian(ts,J,J,LandauIJacobian,NULL);CHKERRQ(ierr);
676   ierr = TSSetRHSFunction(ts,NULL,FormSource,NULL);CHKERRQ(ierr);
677   ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
678   ierr = TSSetSolution(ts,X);CHKERRQ(ierr);
679   ierr = TSSetApplicationContext(ts, ctx);CHKERRQ(ierr);
680   ierr = TSMonitorSet(ts,Monitor,ctx,NULL);CHKERRQ(ierr);
681   ierr = TSSetPreStep(ts,PreStep);CHKERRQ(ierr);
682   rectx->Ez_initial = ctx->Ez;       /* cache for induction caclulation - applied E field */
683   if (1) { /* warm up an test just LandauIJacobian */
684     Vec           vec;
685     PetscInt      nsteps;
686     PetscReal     dt;
687     ierr = PetscLogStageRegister("Warmup", &stage);CHKERRQ(ierr);
688     ierr = PetscLogStagePush(stage);CHKERRQ(ierr);
689     ierr = VecDuplicate(X,&vec);CHKERRQ(ierr);
690     ierr = VecCopy(X,vec);CHKERRQ(ierr);
691     ierr = TSGetMaxSteps(ts,&nsteps);
692     ierr = TSGetTimeStep(ts,&dt);CHKERRQ(ierr);
693     ierr = TSSetMaxSteps(ts,1);
694     ierr = TSSetSolution(ts,vec);CHKERRQ(ierr);
695     ierr = TSSolve(ts,vec);CHKERRQ(ierr);
696     ierr = TSSetMaxSteps(ts,nsteps);
697     ierr = TSSetStepNumber(ts,0);CHKERRQ(ierr);
698     ierr = TSSetTime(ts,0);CHKERRQ(ierr);
699     ierr = TSSetTimeStep(ts,dt);CHKERRQ(ierr);
700     ierr = TSSetSolution(ts,X);CHKERRQ(ierr);
701     rectx->plotIdx = 0;
702     rectx->plotting = PETSC_FALSE;
703     ierr = PetscLogStagePop();CHKERRQ(ierr);
704     ierr = VecDestroy(&vec);CHKERRQ(ierr);
705   }
706   ierr = VecViewFromOptions(X,NULL,"-vec_view");CHKERRQ(ierr); // inital condition (monitor plots after step)
707   /* go */
708   ierr = PetscLogStageRegister("Solve", &stage);CHKERRQ(ierr);
709   ierr = PetscLogStagePush(stage);CHKERRQ(ierr);
710   ierr = TSSolve(ts,X);CHKERRQ(ierr);
711   ierr = PetscLogStagePop();CHKERRQ(ierr);
712   /* clean up */
713   ierr = LandauDestroyVelocitySpace(&dm);CHKERRQ(ierr);
714   ierr = TSDestroy(&ts);CHKERRQ(ierr);
715   ierr = VecDestroy(&X);CHKERRQ(ierr);
716   if (rectx->imp_src) {
717     ierr = VecDestroy(&rectx->imp_src);CHKERRQ(ierr);
718   }
719   ierr = PetscFree(rectx);CHKERRQ(ierr);
720   ierr = PetscFinalize();
721   return ierr;
722 }
723 
724 /*TEST
725   test:
726     suffix: 0
727     requires: p4est !complex double
728     args: -dm_landau_Ez 0 -petscspace_degree 2 -petscspace_poly_tensor 1 -dm_landau_type p4est -info :dm,tsadapt -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 -pc_type lu -ksp_type preonly -dm_landau_amr_levels_max 9 -dm_landau_domain_radius -.75 -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 1 -dm_preallocate_only -dm_landau_gpu_assembly false
729 
730   test:
731     suffix: kokkos
732     requires: p4est !complex double kokkos_kernels !define(PETSC_USE_CTABLE)
733     args: -dm_landau_Ez 0 -petscspace_degree 2 -petscspace_poly_tensor 1 -dm_landau_type p4est -info :dm,tsadapt -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 -pc_type lu -ksp_type preonly -dm_landau_amr_levels_max 9 -dm_landau_domain_radius -.75 -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 1 -dm_preallocate_only -dm_landau_device_type kokkos -dm_landau_gpu_assembly true -dm_mat_type aijkokkos -dm_vec_type kokkos
734 
735 TEST*/
736