Actual source code: ex11.c
1: static char help[] = "Second Order TVD Finite Volume Example.\n";
2: /*F
4: We use a second order TVD finite volume method to evolve a system of PDEs. Our simple upwinded residual evaluation loops
5: over all mesh faces and uses a Riemann solver to produce the flux given the face geometry and cell values,
6: \begin{equation}
7: f_i = \mathrm{riemann}(\mathrm{phys}, p_\mathrm{centroid}, \hat n, x^L, x^R)
8: \end{equation}
9: and then update the cell values given the cell volume.
10: \begin{eqnarray}
11: f^L_i &-=& \frac{f_i}{vol^L} \\
12: f^R_i &+=& \frac{f_i}{vol^R}
13: \end{eqnarray}
15: As an example, we can consider the shallow water wave equation,
16: \begin{eqnarray}
17: h_t + \nabla\cdot \left( uh \right) &=& 0 \\
18: (uh)_t + \nabla\cdot \left( u\otimes uh + \frac{g h^2}{2} I \right) &=& 0
19: \end{eqnarray}
20: where $h$ is wave height, $u$ is wave velocity, and $g$ is the acceleration due to gravity.
22: A representative Riemann solver for the shallow water equations is given in the PhysicsRiemann_SW() function,
23: \begin{eqnarray}
24: f^{L,R}_h &=& uh^{L,R} \cdot \hat n \\
25: f^{L,R}_{uh} &=& \frac{f^{L,R}_h}{h^{L,R}} uh^{L,R} + g (h^{L,R})^2 \hat n \\
26: c^{L,R} &=& \sqrt{g h^{L,R}} \\
27: s &=& \max\left( \left|\frac{uh^L \cdot \hat n}{h^L}\right| + c^L, \left|\frac{uh^R \cdot \hat n}{h^R}\right| + c^R \right) \\
28: f_i &=& \frac{A_\mathrm{face}}{2} \left( f^L_i + f^R_i + s \left( x^L_i - x^R_i \right) \right)
29: \end{eqnarray}
30: where $c$ is the local gravity wave speed and $f_i$ is a Rusanov flux.
32: The more sophisticated residual evaluation in RHSFunctionLocal_LS() uses a least-squares fit to a quadratic polynomial
33: over a neighborhood of the given element.
35: The mesh is read in from an ExodusII file, usually generated by Cubit.
36: F*/
37: #include <petscdmplex.h>
38: #include <petscdmforest.h>
39: #include <petscds.h>
40: #include <petscts.h>
42: #define DIM 2 /* Geometric dimension */
44: static PetscFunctionList PhysicsList, PhysicsRiemannList_SW;
46: /* Represents continuum physical equations. */
47: typedef struct _n_Physics *Physics;
49: /* Physical model includes boundary conditions, initial conditions, and functionals of interest. It is
50: * discretization-independent, but its members depend on the scenario being solved. */
51: typedef struct _n_Model *Model;
53: /* 'User' implements a discretization of a continuous model. */
54: typedef struct _n_User *User;
55: typedef PetscErrorCode (*SolutionFunction)(Model, PetscReal, const PetscReal *, PetscScalar *, void *);
56: typedef PetscErrorCode (*SetUpBCFunction)(DM, PetscDS, Physics);
57: typedef PetscErrorCode (*FunctionalFunction)(Model, PetscReal, const PetscReal *, const PetscScalar *, PetscReal *, void *);
58: typedef PetscErrorCode (*SetupFields)(Physics, PetscSection);
59: static PetscErrorCode ModelSolutionSetDefault(Model, SolutionFunction, void *);
60: static PetscErrorCode ModelFunctionalRegister(Model, const char *, PetscInt *, FunctionalFunction, void *);
61: static PetscErrorCode OutputVTK(DM, const char *, PetscViewer *);
63: struct FieldDescription {
64: const char *name;
65: PetscInt dof;
66: };
68: typedef struct _n_FunctionalLink *FunctionalLink;
69: struct _n_FunctionalLink {
70: char *name;
71: FunctionalFunction func;
72: void *ctx;
73: PetscInt offset;
74: FunctionalLink next;
75: };
77: struct _n_Physics {
78: PetscRiemannFunc riemann;
79: PetscInt dof; /* number of degrees of freedom per cell */
80: PetscReal maxspeed; /* kludge to pick initial time step, need to add monitoring and step control */
81: void *data;
82: PetscInt nfields;
83: const struct FieldDescription *field_desc;
84: };
86: struct _n_Model {
87: MPI_Comm comm; /* Does not do collective communication, but some error conditions can be collective */
88: Physics physics;
89: FunctionalLink functionalRegistry;
90: PetscInt maxComputed;
91: PetscInt numMonitored;
92: FunctionalLink *functionalMonitored;
93: PetscInt numCall;
94: FunctionalLink *functionalCall;
95: SolutionFunction solution;
96: SetUpBCFunction setupbc;
97: void *solutionctx;
98: PetscReal maxspeed; /* estimate of global maximum speed (for CFL calculation) */
99: PetscReal bounds[2 * DIM];
100: PetscErrorCode (*errorIndicator)(PetscInt, PetscReal, PetscInt, const PetscScalar[], const PetscScalar[], PetscReal *, void *);
101: void *errorCtx;
102: };
104: struct _n_User {
105: PetscInt vtkInterval; /* For monitor */
106: char outputBasename[PETSC_MAX_PATH_LEN]; /* Basename for output files */
107: PetscInt monitorStepOffset;
108: Model model;
109: PetscBool vtkmon;
110: };
112: static inline PetscReal DotDIMReal(const PetscReal *x, const PetscReal *y)
113: {
114: PetscInt i;
115: PetscReal prod = 0.0;
117: for (i = 0; i < DIM; i++) prod += x[i] * y[i];
118: return prod;
119: }
120: static inline PetscReal NormDIM(const PetscReal *x)
121: {
122: return PetscSqrtReal(PetscAbsReal(DotDIMReal(x, x)));
123: }
125: static inline PetscReal Dot2Real(const PetscReal *x, const PetscReal *y)
126: {
127: return x[0] * y[0] + x[1] * y[1];
128: }
129: static inline PetscReal Norm2Real(const PetscReal *x)
130: {
131: return PetscSqrtReal(PetscAbsReal(Dot2Real(x, x)));
132: }
133: static inline void Normalize2Real(PetscReal *x)
134: {
135: PetscReal a = 1. / Norm2Real(x);
136: x[0] *= a;
137: x[1] *= a;
138: }
139: static inline void Waxpy2Real(PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w)
140: {
141: w[0] = a * x[0] + y[0];
142: w[1] = a * x[1] + y[1];
143: }
144: static inline void Scale2Real(PetscReal a, const PetscReal *x, PetscReal *y)
145: {
146: y[0] = a * x[0];
147: y[1] = a * x[1];
148: }
150: /******************* Advect ********************/
151: typedef enum {
152: ADVECT_SOL_TILTED,
153: ADVECT_SOL_BUMP,
154: ADVECT_SOL_BUMP_CAVITY
155: } AdvectSolType;
156: static const char *const AdvectSolTypes[] = {"TILTED", "BUMP", "BUMP_CAVITY", "AdvectSolType", "ADVECT_SOL_", 0};
157: typedef enum {
158: ADVECT_SOL_BUMP_CONE,
159: ADVECT_SOL_BUMP_COS
160: } AdvectSolBumpType;
161: static const char *const AdvectSolBumpTypes[] = {"CONE", "COS", "AdvectSolBumpType", "ADVECT_SOL_BUMP_", 0};
163: typedef struct {
164: PetscReal wind[DIM];
165: } Physics_Advect_Tilted;
166: typedef struct {
167: PetscReal center[DIM];
168: PetscReal radius;
169: AdvectSolBumpType type;
170: } Physics_Advect_Bump;
172: typedef struct {
173: PetscReal inflowState;
174: AdvectSolType soltype;
175: union
176: {
177: Physics_Advect_Tilted tilted;
178: Physics_Advect_Bump bump;
179: } sol;
180: struct {
181: PetscInt Solution;
182: PetscInt Error;
183: } functional;
184: } Physics_Advect;
186: static const struct FieldDescription PhysicsFields_Advect[] = {
187: {"U", 1},
188: {NULL, 0}
189: };
191: static PetscErrorCode PhysicsBoundary_Advect_Inflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
192: {
193: Physics phys = (Physics)ctx;
194: Physics_Advect *advect = (Physics_Advect *)phys->data;
197: xG[0] = advect->inflowState;
198: return 0;
199: }
201: static PetscErrorCode PhysicsBoundary_Advect_Outflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
202: {
204: xG[0] = xI[0];
205: return 0;
206: }
208: static void PhysicsRiemann_Advect(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
209: {
210: Physics_Advect *advect = (Physics_Advect *)phys->data;
211: PetscReal wind[DIM], wn;
213: switch (advect->soltype) {
214: case ADVECT_SOL_TILTED: {
215: Physics_Advect_Tilted *tilted = &advect->sol.tilted;
216: wind[0] = tilted->wind[0];
217: wind[1] = tilted->wind[1];
218: } break;
219: case ADVECT_SOL_BUMP:
220: wind[0] = -qp[1];
221: wind[1] = qp[0];
222: break;
223: case ADVECT_SOL_BUMP_CAVITY: {
224: PetscInt i;
225: PetscReal comp2[3] = {0., 0., 0.}, rad2;
227: rad2 = 0.;
228: for (i = 0; i < dim; i++) {
229: comp2[i] = qp[i] * qp[i];
230: rad2 += comp2[i];
231: }
233: wind[0] = -qp[1];
234: wind[1] = qp[0];
235: if (rad2 > 1.) {
236: PetscInt maxI = 0;
237: PetscReal maxComp2 = comp2[0];
239: for (i = 1; i < dim; i++) {
240: if (comp2[i] > maxComp2) {
241: maxI = i;
242: maxComp2 = comp2[i];
243: }
244: }
245: wind[maxI] = 0.;
246: }
247: } break;
248: default: {
249: PetscInt i;
250: for (i = 0; i < DIM; ++i) wind[i] = 0.0;
251: }
252: /* default: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for solution type %s",AdvectSolBumpTypes[advect->soltype]); */
253: }
254: wn = Dot2Real(wind, n);
255: flux[0] = (wn > 0 ? xL[0] : xR[0]) * wn;
256: }
258: static PetscErrorCode PhysicsSolution_Advect(Model mod, PetscReal time, const PetscReal *x, PetscScalar *u, void *ctx)
259: {
260: Physics phys = (Physics)ctx;
261: Physics_Advect *advect = (Physics_Advect *)phys->data;
264: switch (advect->soltype) {
265: case ADVECT_SOL_TILTED: {
266: PetscReal x0[DIM];
267: Physics_Advect_Tilted *tilted = &advect->sol.tilted;
268: Waxpy2Real(-time, tilted->wind, x, x0);
269: if (x0[1] > 0) u[0] = 1. * x[0] + 3. * x[1];
270: else u[0] = advect->inflowState;
271: } break;
272: case ADVECT_SOL_BUMP_CAVITY:
273: case ADVECT_SOL_BUMP: {
274: Physics_Advect_Bump *bump = &advect->sol.bump;
275: PetscReal x0[DIM], v[DIM], r, cost, sint;
276: cost = PetscCosReal(time);
277: sint = PetscSinReal(time);
278: x0[0] = cost * x[0] + sint * x[1];
279: x0[1] = -sint * x[0] + cost * x[1];
280: Waxpy2Real(-1, bump->center, x0, v);
281: r = Norm2Real(v);
282: switch (bump->type) {
283: case ADVECT_SOL_BUMP_CONE:
284: u[0] = PetscMax(1 - r / bump->radius, 0);
285: break;
286: case ADVECT_SOL_BUMP_COS:
287: u[0] = 0.5 + 0.5 * PetscCosReal(PetscMin(r / bump->radius, 1) * PETSC_PI);
288: break;
289: }
290: } break;
291: default:
292: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unknown solution type");
293: }
294: return 0;
295: }
297: static PetscErrorCode PhysicsFunctional_Advect(Model mod, PetscReal time, const PetscReal *x, const PetscScalar *y, PetscReal *f, void *ctx)
298: {
299: Physics phys = (Physics)ctx;
300: Physics_Advect *advect = (Physics_Advect *)phys->data;
301: PetscScalar yexact[1] = {0.0};
304: PhysicsSolution_Advect(mod, time, x, yexact, phys);
305: f[advect->functional.Solution] = PetscRealPart(y[0]);
306: f[advect->functional.Error] = PetscAbsScalar(y[0] - yexact[0]);
307: return 0;
308: }
310: static PetscErrorCode SetUpBC_Advect(DM dm, PetscDS prob, Physics phys)
311: {
312: const PetscInt inflowids[] = {100, 200, 300}, outflowids[] = {101};
313: DMLabel label;
316: /* Register "canned" boundary conditions and defaults for where to apply. */
317: DMGetLabel(dm, "Face Sets", &label);
318: PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "inflow", label, PETSC_STATIC_ARRAY_LENGTH(inflowids), inflowids, 0, 0, NULL, (void (*)(void))PhysicsBoundary_Advect_Inflow, NULL, phys, NULL);
319: PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "outflow", label, PETSC_STATIC_ARRAY_LENGTH(outflowids), outflowids, 0, 0, NULL, (void (*)(void))PhysicsBoundary_Advect_Outflow, NULL, phys, NULL);
320: return 0;
321: }
323: static PetscErrorCode PhysicsCreate_Advect(Model mod, Physics phys, PetscOptionItems *PetscOptionsObject)
324: {
325: Physics_Advect *advect;
328: phys->field_desc = PhysicsFields_Advect;
329: phys->riemann = (PetscRiemannFunc)PhysicsRiemann_Advect;
330: PetscNew(&advect);
331: phys->data = advect;
332: mod->setupbc = SetUpBC_Advect;
334: PetscOptionsHeadBegin(PetscOptionsObject, "Advect options");
335: {
336: PetscInt two = 2, dof = 1;
337: advect->soltype = ADVECT_SOL_TILTED;
338: PetscOptionsEnum("-advect_sol_type", "solution type", "", AdvectSolTypes, (PetscEnum)advect->soltype, (PetscEnum *)&advect->soltype, NULL);
339: switch (advect->soltype) {
340: case ADVECT_SOL_TILTED: {
341: Physics_Advect_Tilted *tilted = &advect->sol.tilted;
342: two = 2;
343: tilted->wind[0] = 0.0;
344: tilted->wind[1] = 1.0;
345: PetscOptionsRealArray("-advect_tilted_wind", "background wind vx,vy", "", tilted->wind, &two, NULL);
346: advect->inflowState = -2.0;
347: PetscOptionsRealArray("-advect_tilted_inflow", "Inflow state", "", &advect->inflowState, &dof, NULL);
348: phys->maxspeed = Norm2Real(tilted->wind);
349: } break;
350: case ADVECT_SOL_BUMP_CAVITY:
351: case ADVECT_SOL_BUMP: {
352: Physics_Advect_Bump *bump = &advect->sol.bump;
353: two = 2;
354: bump->center[0] = 2.;
355: bump->center[1] = 0.;
356: PetscOptionsRealArray("-advect_bump_center", "location of center of bump x,y", "", bump->center, &two, NULL);
357: bump->radius = 0.9;
358: PetscOptionsReal("-advect_bump_radius", "radius of bump", "", bump->radius, &bump->radius, NULL);
359: bump->type = ADVECT_SOL_BUMP_CONE;
360: PetscOptionsEnum("-advect_bump_type", "type of bump", "", AdvectSolBumpTypes, (PetscEnum)bump->type, (PetscEnum *)&bump->type, NULL);
361: phys->maxspeed = 3.; /* radius of mesh, kludge */
362: } break;
363: }
364: }
365: PetscOptionsHeadEnd();
366: /* Initial/transient solution with default boundary conditions */
367: ModelSolutionSetDefault(mod, PhysicsSolution_Advect, phys);
368: /* Register "canned" functionals */
369: ModelFunctionalRegister(mod, "Solution", &advect->functional.Solution, PhysicsFunctional_Advect, phys);
370: ModelFunctionalRegister(mod, "Error", &advect->functional.Error, PhysicsFunctional_Advect, phys);
371: return 0;
372: }
374: /******************* Shallow Water ********************/
375: typedef struct {
376: PetscReal gravity;
377: PetscReal boundaryHeight;
378: struct {
379: PetscInt Height;
380: PetscInt Speed;
381: PetscInt Energy;
382: } functional;
383: } Physics_SW;
384: typedef struct {
385: PetscReal h;
386: PetscReal uh[DIM];
387: } SWNode;
388: typedef union
389: {
390: SWNode swnode;
391: PetscReal vals[DIM + 1];
392: } SWNodeUnion;
394: static const struct FieldDescription PhysicsFields_SW[] = {
395: {"Height", 1 },
396: {"Momentum", DIM},
397: {NULL, 0 }
398: };
400: /*
401: * h_t + div(uh) = 0
402: * (uh)_t + div (u\otimes uh + g h^2 / 2 I) = 0
403: *
404: * */
405: static PetscErrorCode SWFlux(Physics phys, const PetscReal *n, const SWNode *x, SWNode *f)
406: {
407: Physics_SW *sw = (Physics_SW *)phys->data;
408: PetscReal uhn, u[DIM];
409: PetscInt i;
412: Scale2Real(1. / x->h, x->uh, u);
413: uhn = x->uh[0] * n[0] + x->uh[1] * n[1];
414: f->h = uhn;
415: for (i = 0; i < DIM; i++) f->uh[i] = u[i] * uhn + sw->gravity * PetscSqr(x->h) * n[i];
416: return 0;
417: }
419: static PetscErrorCode PhysicsBoundary_SW_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
420: {
422: xG[0] = xI[0];
423: xG[1] = -xI[1];
424: xG[2] = -xI[2];
425: return 0;
426: }
428: static void PhysicsRiemann_SW_HLL(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
429: {
430: Physics_SW *sw = (Physics_SW *)phys->data;
431: PetscReal aL, aR;
432: PetscReal nn[DIM];
433: #if !defined(PETSC_USE_COMPLEX)
434: const SWNode *uL = (const SWNode *)xL, *uR = (const SWNode *)xR;
435: #else
436: SWNodeUnion uLreal, uRreal;
437: const SWNode *uL = &uLreal.swnode;
438: const SWNode *uR = &uRreal.swnode;
439: #endif
440: SWNodeUnion fL, fR;
441: PetscInt i;
442: PetscReal zero = 0.;
444: #if defined(PETSC_USE_COMPLEX)
445: uLreal.swnode.h = 0;
446: uRreal.swnode.h = 0;
447: for (i = 0; i < 1 + dim; i++) uLreal.vals[i] = PetscRealPart(xL[i]);
448: for (i = 0; i < 1 + dim; i++) uRreal.vals[i] = PetscRealPart(xR[i]);
449: #endif
450: if (uL->h <= 0 || uR->h <= 0) {
451: for (i = 0; i < 1 + dim; i++) flux[i] = zero;
452: return;
453: } /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Reconstructed thickness is negative"); */
454: nn[0] = n[0];
455: nn[1] = n[1];
456: Normalize2Real(nn);
457: SWFlux(phys, nn, uL, &(fL.swnode));
458: SWFlux(phys, nn, uR, &(fR.swnode));
459: /* gravity wave speed */
460: aL = PetscSqrtReal(sw->gravity * uL->h);
461: aR = PetscSqrtReal(sw->gravity * uR->h);
462: // Defining u_tilda and v_tilda as u and v
463: PetscReal u_L, u_R;
464: u_L = Dot2Real(uL->uh, nn) / uL->h;
465: u_R = Dot2Real(uR->uh, nn) / uR->h;
466: PetscReal sL, sR;
467: sL = PetscMin(u_L - aL, u_R - aR);
468: sR = PetscMax(u_L + aL, u_R + aR);
469: if (sL > zero) {
470: for (i = 0; i < dim + 1; i++) flux[i] = fL.vals[i] * Norm2Real(n);
471: } else if (sR < zero) {
472: for (i = 0; i < dim + 1; i++) flux[i] = fR.vals[i] * Norm2Real(n);
473: } else {
474: for (i = 0; i < dim + 1; i++) flux[i] = ((sR * fL.vals[i] - sL * fR.vals[i] + sR * sL * (xR[i] - xL[i])) / (sR - sL)) * Norm2Real(n);
475: }
476: }
478: static void PhysicsRiemann_SW_Rusanov(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
479: {
480: Physics_SW *sw = (Physics_SW *)phys->data;
481: PetscReal cL, cR, speed;
482: PetscReal nn[DIM];
483: #if !defined(PETSC_USE_COMPLEX)
484: const SWNode *uL = (const SWNode *)xL, *uR = (const SWNode *)xR;
485: #else
486: SWNodeUnion uLreal, uRreal;
487: const SWNode *uL = &uLreal.swnode;
488: const SWNode *uR = &uRreal.swnode;
489: #endif
490: SWNodeUnion fL, fR;
491: PetscInt i;
492: PetscReal zero = 0.;
494: #if defined(PETSC_USE_COMPLEX)
495: uLreal.swnode.h = 0;
496: uRreal.swnode.h = 0;
497: for (i = 0; i < 1 + dim; i++) uLreal.vals[i] = PetscRealPart(xL[i]);
498: for (i = 0; i < 1 + dim; i++) uRreal.vals[i] = PetscRealPart(xR[i]);
499: #endif
500: if (uL->h < 0 || uR->h < 0) {
501: for (i = 0; i < 1 + dim; i++) flux[i] = zero / zero;
502: return;
503: } /* reconstructed thickness is negative */
504: nn[0] = n[0];
505: nn[1] = n[1];
506: Normalize2Real(nn);
507: SWFlux(phys, nn, uL, &(fL.swnode));
508: SWFlux(phys, nn, uR, &(fR.swnode));
509: cL = PetscSqrtReal(sw->gravity * uL->h);
510: cR = PetscSqrtReal(sw->gravity * uR->h); /* gravity wave speed */
511: speed = PetscMax(PetscAbsReal(Dot2Real(uL->uh, nn) / uL->h) + cL, PetscAbsReal(Dot2Real(uR->uh, nn) / uR->h) + cR);
512: for (i = 0; i < 1 + dim; i++) flux[i] = (0.5 * (fL.vals[i] + fR.vals[i]) + 0.5 * speed * (xL[i] - xR[i])) * Norm2Real(n);
513: }
515: static PetscErrorCode PhysicsSolution_SW(Model mod, PetscReal time, const PetscReal *x, PetscScalar *u, void *ctx)
516: {
517: PetscReal dx[2], r, sigma;
521: dx[0] = x[0] - 1.5;
522: dx[1] = x[1] - 1.0;
523: r = Norm2Real(dx);
524: sigma = 0.5;
525: u[0] = 1 + 2 * PetscExpReal(-PetscSqr(r) / (2 * PetscSqr(sigma)));
526: u[1] = 0.0;
527: u[2] = 0.0;
528: return 0;
529: }
531: static PetscErrorCode PhysicsFunctional_SW(Model mod, PetscReal time, const PetscReal *coord, const PetscScalar *xx, PetscReal *f, void *ctx)
532: {
533: Physics phys = (Physics)ctx;
534: Physics_SW *sw = (Physics_SW *)phys->data;
535: const SWNode *x = (const SWNode *)xx;
536: PetscReal u[2];
537: PetscReal h;
540: h = x->h;
541: Scale2Real(1. / x->h, x->uh, u);
542: f[sw->functional.Height] = h;
543: f[sw->functional.Speed] = Norm2Real(u) + PetscSqrtReal(sw->gravity * h);
544: f[sw->functional.Energy] = 0.5 * (Dot2Real(x->uh, u) + sw->gravity * PetscSqr(h));
545: return 0;
546: }
548: static PetscErrorCode SetUpBC_SW(DM dm, PetscDS prob, Physics phys)
549: {
550: const PetscInt wallids[] = {100, 101, 200, 300};
551: DMLabel label;
554: DMGetLabel(dm, "Face Sets", &label);
555: PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, PETSC_STATIC_ARRAY_LENGTH(wallids), wallids, 0, 0, NULL, (void (*)(void))PhysicsBoundary_SW_Wall, NULL, phys, NULL);
556: return 0;
557: }
559: static PetscErrorCode PhysicsCreate_SW(Model mod, Physics phys, PetscOptionItems *PetscOptionsObject)
560: {
561: Physics_SW *sw;
562: char sw_riemann[64] = "rusanov";
565: phys->field_desc = PhysicsFields_SW;
566: PetscNew(&sw);
567: phys->data = sw;
568: mod->setupbc = SetUpBC_SW;
570: PetscFunctionListAdd(&PhysicsRiemannList_SW, "rusanov", PhysicsRiemann_SW_Rusanov);
571: PetscFunctionListAdd(&PhysicsRiemannList_SW, "hll", PhysicsRiemann_SW_HLL);
573: PetscOptionsHeadBegin(PetscOptionsObject, "SW options");
574: {
575: void (*PhysicsRiemann_SW)(PetscInt, PetscInt, const PetscReal *, const PetscReal *, const PetscScalar *, const PetscScalar *, PetscInt, const PetscScalar, PetscScalar *, Physics);
576: sw->gravity = 1.0;
577: PetscOptionsReal("-sw_gravity", "Gravitational constant", "", sw->gravity, &sw->gravity, NULL);
578: PetscOptionsFList("-sw_riemann", "Riemann solver", "", PhysicsRiemannList_SW, sw_riemann, sw_riemann, sizeof sw_riemann, NULL);
579: PetscFunctionListFind(PhysicsRiemannList_SW, sw_riemann, &PhysicsRiemann_SW);
580: phys->riemann = (PetscRiemannFunc)PhysicsRiemann_SW;
581: }
582: PetscOptionsHeadEnd();
583: phys->maxspeed = PetscSqrtReal(2.0 * sw->gravity); /* Mach 1 for depth of 2 */
585: ModelSolutionSetDefault(mod, PhysicsSolution_SW, phys);
586: ModelFunctionalRegister(mod, "Height", &sw->functional.Height, PhysicsFunctional_SW, phys);
587: ModelFunctionalRegister(mod, "Speed", &sw->functional.Speed, PhysicsFunctional_SW, phys);
588: ModelFunctionalRegister(mod, "Energy", &sw->functional.Energy, PhysicsFunctional_SW, phys);
590: return 0;
591: }
593: /******************* Euler Density Shock (EULER_IV_SHOCK,EULER_SS_SHOCK) ********************/
594: /* An initial-value and self-similar solutions of the compressible Euler equations */
595: /* Ravi Samtaney and D. I. Pullin */
596: /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
597: typedef enum {
598: EULER_PAR_GAMMA,
599: EULER_PAR_RHOR,
600: EULER_PAR_AMACH,
601: EULER_PAR_ITANA,
602: EULER_PAR_SIZE
603: } EulerParamIdx;
604: typedef enum {
605: EULER_IV_SHOCK,
606: EULER_SS_SHOCK,
607: EULER_SHOCK_TUBE,
608: EULER_LINEAR_WAVE
609: } EulerType;
610: typedef struct {
611: PetscReal r;
612: PetscReal ru[DIM];
613: PetscReal E;
614: } EulerNode;
615: typedef union
616: {
617: EulerNode eulernode;
618: PetscReal vals[DIM + 2];
619: } EulerNodeUnion;
620: typedef PetscErrorCode (*EquationOfState)(const PetscReal *, const EulerNode *, PetscReal *);
621: typedef struct {
622: EulerType type;
623: PetscReal pars[EULER_PAR_SIZE];
624: EquationOfState sound;
625: struct {
626: PetscInt Density;
627: PetscInt Momentum;
628: PetscInt Energy;
629: PetscInt Pressure;
630: PetscInt Speed;
631: } monitor;
632: } Physics_Euler;
634: static const struct FieldDescription PhysicsFields_Euler[] = {
635: {"Density", 1 },
636: {"Momentum", DIM},
637: {"Energy", 1 },
638: {NULL, 0 }
639: };
641: /* initial condition */
642: int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx);
643: static PetscErrorCode PhysicsSolution_Euler(Model mod, PetscReal time, const PetscReal *x, PetscScalar *u, void *ctx)
644: {
645: PetscInt i;
646: Physics phys = (Physics)ctx;
647: Physics_Euler *eu = (Physics_Euler *)phys->data;
648: EulerNode *uu = (EulerNode *)u;
649: PetscReal p0, gamma, c;
653: for (i = 0; i < DIM; i++) uu->ru[i] = 0.0; /* zero out initial velocity */
654: /* set E and rho */
655: gamma = eu->pars[EULER_PAR_GAMMA];
657: if (eu->type == EULER_IV_SHOCK || eu->type == EULER_SS_SHOCK) {
658: /******************* Euler Density Shock ********************/
659: /* On initial-value and self-similar solutions of the compressible Euler equations */
660: /* Ravi Samtaney and D. I. Pullin */
661: /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
662: /* initial conditions 1: left of shock, 0: left of discontinuity 2: right of discontinuity, */
663: p0 = 1.;
664: if (x[0] < 0.0 + x[1] * eu->pars[EULER_PAR_ITANA]) {
665: if (x[0] < mod->bounds[0] * 0.5) { /* left of shock (1) */
666: PetscReal amach, rho, press, gas1, p1;
667: amach = eu->pars[EULER_PAR_AMACH];
668: rho = 1.;
669: press = p0;
670: p1 = press * (1.0 + 2.0 * gamma / (gamma + 1.0) * (amach * amach - 1.0));
671: gas1 = (gamma - 1.0) / (gamma + 1.0);
672: uu->r = rho * (p1 / press + gas1) / (gas1 * p1 / press + 1.0);
673: uu->ru[0] = ((uu->r - rho) * PetscSqrtReal(gamma * press / rho) * amach);
674: uu->E = p1 / (gamma - 1.0) + .5 / uu->r * uu->ru[0] * uu->ru[0];
675: } else { /* left of discontinuity (0) */
676: uu->r = 1.; /* rho = 1 */
677: uu->E = p0 / (gamma - 1.0);
678: }
679: } else { /* right of discontinuity (2) */
680: uu->r = eu->pars[EULER_PAR_RHOR];
681: uu->E = p0 / (gamma - 1.0);
682: }
683: } else if (eu->type == EULER_SHOCK_TUBE) {
684: /* For (x<x0) set (rho,u,p)=(8,0,10) and for (x>x0) set (rho,u,p)=(1,0,1). Choose x0 to the midpoint of the domain in the x-direction. */
685: if (x[0] < 0.0) {
686: uu->r = 8.;
687: uu->E = 10. / (gamma - 1.);
688: } else {
689: uu->r = 1.;
690: uu->E = 1. / (gamma - 1.);
691: }
692: } else if (eu->type == EULER_LINEAR_WAVE) {
693: initLinearWave(uu, gamma, x, mod->bounds[1] - mod->bounds[0]);
694: } else SETERRQ(mod->comm, PETSC_ERR_SUP, "Unknown type %d", eu->type);
696: /* set phys->maxspeed: (mod->maxspeed = phys->maxspeed) in main; */
697: eu->sound(&gamma, uu, &c);
698: c = (uu->ru[0] / uu->r) + c;
699: if (c > phys->maxspeed) phys->maxspeed = c;
701: return 0;
702: }
704: static PetscErrorCode Pressure_PG(const PetscReal gamma, const EulerNode *x, PetscReal *p)
705: {
706: PetscReal ru2;
709: ru2 = DotDIMReal(x->ru, x->ru);
710: (*p) = (x->E - 0.5 * ru2 / x->r) * (gamma - 1.0); /* (E - rho V^2/2)(gamma-1) = e rho (gamma-1) */
711: return 0;
712: }
714: static PetscErrorCode SpeedOfSound_PG(const PetscReal *gamma, const EulerNode *x, PetscReal *c)
715: {
716: PetscReal p;
719: Pressure_PG(*gamma, x, &p);
721: /* pars[EULER_PAR_GAMMA] = heat capacity ratio */
722: (*c) = PetscSqrtReal(*gamma * p / x->r);
723: return 0;
724: }
726: /*
727: * x = (rho,rho*(u_1),...,rho*e)^T
728: * x_t+div(f_1(x))+...+div(f_DIM(x)) = 0
729: *
730: * f_i(x) = u_i*x+(0,0,...,p,...,p*u_i)^T
731: *
732: */
733: static PetscErrorCode EulerFlux(Physics phys, const PetscReal *n, const EulerNode *x, EulerNode *f)
734: {
735: Physics_Euler *eu = (Physics_Euler *)phys->data;
736: PetscReal nu, p;
737: PetscInt i;
740: Pressure_PG(eu->pars[EULER_PAR_GAMMA], x, &p);
741: nu = DotDIMReal(x->ru, n);
742: f->r = nu; /* A rho u */
743: nu /= x->r; /* A u */
744: for (i = 0; i < DIM; i++) f->ru[i] = nu * x->ru[i] + n[i] * p; /* r u^2 + p */
745: f->E = nu * (x->E + p); /* u(e+p) */
746: return 0;
747: }
749: /* PetscReal* => EulerNode* conversion */
750: static PetscErrorCode PhysicsBoundary_Euler_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *a_xI, PetscScalar *a_xG, void *ctx)
751: {
752: PetscInt i;
753: const EulerNode *xI = (const EulerNode *)a_xI;
754: EulerNode *xG = (EulerNode *)a_xG;
755: Physics phys = (Physics)ctx;
756: Physics_Euler *eu = (Physics_Euler *)phys->data;
758: xG->r = xI->r; /* ghost cell density - same */
759: xG->E = xI->E; /* ghost cell energy - same */
760: if (n[1] != 0.) { /* top and bottom */
761: xG->ru[0] = xI->ru[0]; /* copy tang to wall */
762: xG->ru[1] = -xI->ru[1]; /* reflect perp to t/b wall */
763: } else { /* sides */
764: for (i = 0; i < DIM; i++) xG->ru[i] = xI->ru[i]; /* copy */
765: }
766: if (eu->type == EULER_LINEAR_WAVE) { /* debug */
767: #if 0
768: PetscPrintf(PETSC_COMM_WORLD,"%s coord=%g,%g\n",PETSC_FUNCTION_NAME,(double)c[0],(double)c[1]);
769: #endif
770: }
771: return 0;
772: }
773: int godunovflux(const PetscScalar *ul, const PetscScalar *ur, PetscScalar *flux, const PetscReal *nn, const int *ndim, const PetscReal *gamma);
774: /* PetscReal* => EulerNode* conversion */
775: static void PhysicsRiemann_Euler_Godunov(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
776: {
777: Physics_Euler *eu = (Physics_Euler *)phys->data;
778: PetscReal cL, cR, speed, velL, velR, nn[DIM], s2;
779: PetscInt i;
783: for (i = 0, s2 = 0.; i < DIM; i++) {
784: nn[i] = n[i];
785: s2 += nn[i] * nn[i];
786: }
787: s2 = PetscSqrtReal(s2); /* |n|_2 = sum(n^2)^1/2 */
788: for (i = 0.; i < DIM; i++) nn[i] /= s2;
789: if (0) { /* Rusanov */
790: const EulerNode *uL = (const EulerNode *)xL, *uR = (const EulerNode *)xR;
791: EulerNodeUnion fL, fR;
792: EulerFlux(phys, nn, uL, &(fL.eulernode));
793: EulerFlux(phys, nn, uR, &(fR.eulernode));
794: eu->sound(&eu->pars[EULER_PAR_GAMMA], uL, &cL);
795: if (ierr) exit(13);
796: eu->sound(&eu->pars[EULER_PAR_GAMMA], uR, &cR);
797: if (ierr) exit(14);
798: velL = DotDIMReal(uL->ru, nn) / uL->r;
799: velR = DotDIMReal(uR->ru, nn) / uR->r;
800: speed = PetscMax(velR + cR, velL + cL);
801: for (i = 0; i < 2 + dim; i++) flux[i] = 0.5 * ((fL.vals[i] + fR.vals[i]) + speed * (xL[i] - xR[i])) * s2;
802: } else {
803: int dim = DIM;
804: /* int iwave = */
805: godunovflux(xL, xR, flux, nn, &dim, &eu->pars[EULER_PAR_GAMMA]);
806: for (i = 0; i < 2 + dim; i++) flux[i] *= s2;
807: }
808: return;
809: }
811: static PetscErrorCode PhysicsFunctional_Euler(Model mod, PetscReal time, const PetscReal *coord, const PetscScalar *xx, PetscReal *f, void *ctx)
812: {
813: Physics phys = (Physics)ctx;
814: Physics_Euler *eu = (Physics_Euler *)phys->data;
815: const EulerNode *x = (const EulerNode *)xx;
816: PetscReal p;
819: f[eu->monitor.Density] = x->r;
820: f[eu->monitor.Momentum] = NormDIM(x->ru);
821: f[eu->monitor.Energy] = x->E;
822: f[eu->monitor.Speed] = NormDIM(x->ru) / x->r;
823: Pressure_PG(eu->pars[EULER_PAR_GAMMA], x, &p);
824: f[eu->monitor.Pressure] = p;
825: return 0;
826: }
828: static PetscErrorCode SetUpBC_Euler(DM dm, PetscDS prob, Physics phys)
829: {
830: Physics_Euler *eu = (Physics_Euler *)phys->data;
831: DMLabel label;
834: DMGetLabel(dm, "Face Sets", &label);
835: if (eu->type == EULER_LINEAR_WAVE) {
836: const PetscInt wallids[] = {100, 101};
837: PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, PETSC_STATIC_ARRAY_LENGTH(wallids), wallids, 0, 0, NULL, (void (*)(void))PhysicsBoundary_Euler_Wall, NULL, phys, NULL);
838: } else {
839: const PetscInt wallids[] = {100, 101, 200, 300};
840: PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, PETSC_STATIC_ARRAY_LENGTH(wallids), wallids, 0, 0, NULL, (void (*)(void))PhysicsBoundary_Euler_Wall, NULL, phys, NULL);
841: }
842: return 0;
843: }
845: static PetscErrorCode PhysicsCreate_Euler(Model mod, Physics phys, PetscOptionItems *PetscOptionsObject)
846: {
847: Physics_Euler *eu;
850: phys->field_desc = PhysicsFields_Euler;
851: phys->riemann = (PetscRiemannFunc)PhysicsRiemann_Euler_Godunov;
852: PetscNew(&eu);
853: phys->data = eu;
854: mod->setupbc = SetUpBC_Euler;
855: PetscOptionsHeadBegin(PetscOptionsObject, "Euler options");
856: {
857: PetscReal alpha;
858: char type[64] = "linear_wave";
859: PetscBool is;
860: eu->pars[EULER_PAR_GAMMA] = 1.4;
861: eu->pars[EULER_PAR_AMACH] = 2.02;
862: eu->pars[EULER_PAR_RHOR] = 3.0;
863: eu->pars[EULER_PAR_ITANA] = 0.57735026918963; /* angle of Euler self similar (SS) shock */
864: PetscOptionsReal("-eu_gamma", "Heat capacity ratio", "", eu->pars[EULER_PAR_GAMMA], &eu->pars[EULER_PAR_GAMMA], NULL);
865: PetscOptionsReal("-eu_amach", "Shock speed (Mach)", "", eu->pars[EULER_PAR_AMACH], &eu->pars[EULER_PAR_AMACH], NULL);
866: PetscOptionsReal("-eu_rho2", "Density right of discontinuity", "", eu->pars[EULER_PAR_RHOR], &eu->pars[EULER_PAR_RHOR], NULL);
867: alpha = 60.;
868: PetscOptionsReal("-eu_alpha", "Angle of discontinuity", "", alpha, &alpha, NULL);
870: eu->pars[EULER_PAR_ITANA] = 1. / PetscTanReal(alpha * PETSC_PI / 180.0);
871: PetscOptionsString("-eu_type", "Type of Euler test", "", type, type, sizeof(type), NULL);
872: PetscStrcmp(type, "linear_wave", &is);
873: if (is) {
874: /* Remember this should be periodic */
875: eu->type = EULER_LINEAR_WAVE;
876: PetscPrintf(PETSC_COMM_WORLD, "%s set Euler type: %s\n", PETSC_FUNCTION_NAME, "linear_wave");
877: } else {
879: PetscStrcmp(type, "iv_shock", &is);
880: if (is) {
881: eu->type = EULER_IV_SHOCK;
882: PetscPrintf(PETSC_COMM_WORLD, "%s set Euler type: %s\n", PETSC_FUNCTION_NAME, "iv_shock");
883: } else {
884: PetscStrcmp(type, "ss_shock", &is);
885: if (is) {
886: eu->type = EULER_SS_SHOCK;
887: PetscPrintf(PETSC_COMM_WORLD, "%s set Euler type: %s\n", PETSC_FUNCTION_NAME, "ss_shock");
888: } else {
889: PetscStrcmp(type, "shock_tube", &is);
890: if (is) eu->type = EULER_SHOCK_TUBE;
891: else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_SUP, "Unknown Euler type %s", type);
892: PetscPrintf(PETSC_COMM_WORLD, "%s set Euler type: %s\n", PETSC_FUNCTION_NAME, "shock_tube");
893: }
894: }
895: }
896: }
897: PetscOptionsHeadEnd();
898: eu->sound = SpeedOfSound_PG;
899: phys->maxspeed = 0.; /* will get set in solution */
900: ModelSolutionSetDefault(mod, PhysicsSolution_Euler, phys);
901: ModelFunctionalRegister(mod, "Speed", &eu->monitor.Speed, PhysicsFunctional_Euler, phys);
902: ModelFunctionalRegister(mod, "Energy", &eu->monitor.Energy, PhysicsFunctional_Euler, phys);
903: ModelFunctionalRegister(mod, "Density", &eu->monitor.Density, PhysicsFunctional_Euler, phys);
904: ModelFunctionalRegister(mod, "Momentum", &eu->monitor.Momentum, PhysicsFunctional_Euler, phys);
905: ModelFunctionalRegister(mod, "Pressure", &eu->monitor.Pressure, PhysicsFunctional_Euler, phys);
907: return 0;
908: }
910: static PetscErrorCode ErrorIndicator_Simple(PetscInt dim, PetscReal volume, PetscInt numComps, const PetscScalar u[], const PetscScalar grad[], PetscReal *error, void *ctx)
911: {
912: PetscReal err = 0.;
913: PetscInt i, j;
916: for (i = 0; i < numComps; i++) {
917: for (j = 0; j < dim; j++) err += PetscSqr(PetscRealPart(grad[i * dim + j]));
918: }
919: *error = volume * err;
920: return 0;
921: }
923: PetscErrorCode CreatePartitionVec(DM dm, DM *dmCell, Vec *partition)
924: {
925: PetscSF sfPoint;
926: PetscSection coordSection;
927: Vec coordinates;
928: PetscSection sectionCell;
929: PetscScalar *part;
930: PetscInt cStart, cEnd, c;
931: PetscMPIInt rank;
934: DMGetCoordinateSection(dm, &coordSection);
935: DMGetCoordinatesLocal(dm, &coordinates);
936: DMClone(dm, dmCell);
937: DMGetPointSF(dm, &sfPoint);
938: DMSetPointSF(*dmCell, sfPoint);
939: DMSetCoordinateSection(*dmCell, PETSC_DETERMINE, coordSection);
940: DMSetCoordinatesLocal(*dmCell, coordinates);
941: MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);
942: PetscSectionCreate(PetscObjectComm((PetscObject)dm), §ionCell);
943: DMPlexGetHeightStratum(*dmCell, 0, &cStart, &cEnd);
944: PetscSectionSetChart(sectionCell, cStart, cEnd);
945: for (c = cStart; c < cEnd; ++c) PetscSectionSetDof(sectionCell, c, 1);
946: PetscSectionSetUp(sectionCell);
947: DMSetLocalSection(*dmCell, sectionCell);
948: PetscSectionDestroy(§ionCell);
949: DMCreateLocalVector(*dmCell, partition);
950: PetscObjectSetName((PetscObject)*partition, "partition");
951: VecGetArray(*partition, &part);
952: for (c = cStart; c < cEnd; ++c) {
953: PetscScalar *p;
955: DMPlexPointLocalRef(*dmCell, c, part, &p);
956: p[0] = rank;
957: }
958: VecRestoreArray(*partition, &part);
959: return 0;
960: }
962: PetscErrorCode CreateMassMatrix(DM dm, Vec *massMatrix, User user)
963: {
964: DM plex, dmMass, dmFace, dmCell, dmCoord;
965: PetscSection coordSection;
966: Vec coordinates, facegeom, cellgeom;
967: PetscSection sectionMass;
968: PetscScalar *m;
969: const PetscScalar *fgeom, *cgeom, *coords;
970: PetscInt vStart, vEnd, v;
973: DMConvert(dm, DMPLEX, &plex);
974: DMGetCoordinateSection(dm, &coordSection);
975: DMGetCoordinatesLocal(dm, &coordinates);
976: DMClone(dm, &dmMass);
977: DMSetCoordinateSection(dmMass, PETSC_DETERMINE, coordSection);
978: DMSetCoordinatesLocal(dmMass, coordinates);
979: PetscSectionCreate(PetscObjectComm((PetscObject)dm), §ionMass);
980: DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);
981: PetscSectionSetChart(sectionMass, vStart, vEnd);
982: for (v = vStart; v < vEnd; ++v) {
983: PetscInt numFaces;
985: DMPlexGetSupportSize(dmMass, v, &numFaces);
986: PetscSectionSetDof(sectionMass, v, numFaces * numFaces);
987: }
988: PetscSectionSetUp(sectionMass);
989: DMSetLocalSection(dmMass, sectionMass);
990: PetscSectionDestroy(§ionMass);
991: DMGetLocalVector(dmMass, massMatrix);
992: VecGetArray(*massMatrix, &m);
993: DMPlexGetGeometryFVM(plex, &facegeom, &cellgeom, NULL);
994: VecGetDM(facegeom, &dmFace);
995: VecGetArrayRead(facegeom, &fgeom);
996: VecGetDM(cellgeom, &dmCell);
997: VecGetArrayRead(cellgeom, &cgeom);
998: DMGetCoordinateDM(dm, &dmCoord);
999: VecGetArrayRead(coordinates, &coords);
1000: for (v = vStart; v < vEnd; ++v) {
1001: const PetscInt *faces;
1002: PetscFVFaceGeom *fgA, *fgB, *cg;
1003: PetscScalar *vertex;
1004: PetscInt numFaces, sides[2], f, g;
1006: DMPlexPointLocalRead(dmCoord, v, coords, &vertex);
1007: DMPlexGetSupportSize(dmMass, v, &numFaces);
1008: DMPlexGetSupport(dmMass, v, &faces);
1009: for (f = 0; f < numFaces; ++f) {
1010: sides[0] = faces[f];
1011: DMPlexPointLocalRead(dmFace, faces[f], fgeom, &fgA);
1012: for (g = 0; g < numFaces; ++g) {
1013: const PetscInt *cells = NULL;
1014: PetscReal area = 0.0;
1015: PetscInt numCells;
1017: sides[1] = faces[g];
1018: DMPlexPointLocalRead(dmFace, faces[g], fgeom, &fgB);
1019: DMPlexGetJoin(dmMass, 2, sides, &numCells, &cells);
1021: DMPlexPointLocalRead(dmCell, cells[0], cgeom, &cg);
1022: area += PetscAbsScalar((vertex[0] - cg->centroid[0]) * (fgA->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1]) * (fgA->centroid[0] - cg->centroid[0]));
1023: area += PetscAbsScalar((vertex[0] - cg->centroid[0]) * (fgB->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1]) * (fgB->centroid[0] - cg->centroid[0]));
1024: m[f * numFaces + g] = Dot2Real(fgA->normal, fgB->normal) * area * 0.5;
1025: DMPlexRestoreJoin(dmMass, 2, sides, &numCells, &cells);
1026: }
1027: }
1028: }
1029: VecRestoreArrayRead(facegeom, &fgeom);
1030: VecRestoreArrayRead(cellgeom, &cgeom);
1031: VecRestoreArrayRead(coordinates, &coords);
1032: VecRestoreArray(*massMatrix, &m);
1033: DMDestroy(&dmMass);
1034: DMDestroy(&plex);
1035: return 0;
1036: }
1038: /* Behavior will be different for multi-physics or when using non-default boundary conditions */
1039: static PetscErrorCode ModelSolutionSetDefault(Model mod, SolutionFunction func, void *ctx)
1040: {
1042: mod->solution = func;
1043: mod->solutionctx = ctx;
1044: return 0;
1045: }
1047: static PetscErrorCode ModelFunctionalRegister(Model mod, const char *name, PetscInt *offset, FunctionalFunction func, void *ctx)
1048: {
1049: FunctionalLink link, *ptr;
1050: PetscInt lastoffset = -1;
1053: for (ptr = &mod->functionalRegistry; *ptr; ptr = &(*ptr)->next) lastoffset = (*ptr)->offset;
1054: PetscNew(&link);
1055: PetscStrallocpy(name, &link->name);
1056: link->offset = lastoffset + 1;
1057: link->func = func;
1058: link->ctx = ctx;
1059: link->next = NULL;
1060: *ptr = link;
1061: *offset = link->offset;
1062: return 0;
1063: }
1065: static PetscErrorCode ModelFunctionalSetFromOptions(Model mod, PetscOptionItems *PetscOptionsObject)
1066: {
1067: PetscInt i, j;
1068: FunctionalLink link;
1069: char *names[256];
1072: mod->numMonitored = PETSC_STATIC_ARRAY_LENGTH(names);
1073: PetscOptionsStringArray("-monitor", "list of functionals to monitor", "", names, &mod->numMonitored, NULL);
1074: /* Create list of functionals that will be computed somehow */
1075: PetscMalloc1(mod->numMonitored, &mod->functionalMonitored);
1076: /* Create index of calls that we will have to make to compute these functionals (over-allocation in general). */
1077: PetscMalloc1(mod->numMonitored, &mod->functionalCall);
1078: mod->numCall = 0;
1079: for (i = 0; i < mod->numMonitored; i++) {
1080: for (link = mod->functionalRegistry; link; link = link->next) {
1081: PetscBool match;
1082: PetscStrcasecmp(names[i], link->name, &match);
1083: if (match) break;
1084: }
1086: mod->functionalMonitored[i] = link;
1087: for (j = 0; j < i; j++) {
1088: if (mod->functionalCall[j]->func == link->func && mod->functionalCall[j]->ctx == link->ctx) goto next_name;
1089: }
1090: mod->functionalCall[mod->numCall++] = link; /* Just points to the first link using the result. There may be more results. */
1091: next_name:
1092: PetscFree(names[i]);
1093: }
1095: /* Find out the maximum index of any functional computed by a function we will be calling (even if we are not using it) */
1096: mod->maxComputed = -1;
1097: for (link = mod->functionalRegistry; link; link = link->next) {
1098: for (i = 0; i < mod->numCall; i++) {
1099: FunctionalLink call = mod->functionalCall[i];
1100: if (link->func == call->func && link->ctx == call->ctx) mod->maxComputed = PetscMax(mod->maxComputed, link->offset);
1101: }
1102: }
1103: return 0;
1104: }
1106: static PetscErrorCode FunctionalLinkDestroy(FunctionalLink *link)
1107: {
1108: FunctionalLink l, next;
1111: if (!link) return 0;
1112: l = *link;
1113: *link = NULL;
1114: for (; l; l = next) {
1115: next = l->next;
1116: PetscFree(l->name);
1117: PetscFree(l);
1118: }
1119: return 0;
1120: }
1122: /* put the solution callback into a functional callback */
1123: static PetscErrorCode SolutionFunctional(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *modctx)
1124: {
1125: Model mod;
1127: mod = (Model)modctx;
1128: (*mod->solution)(mod, time, x, u, mod->solutionctx);
1129: return 0;
1130: }
1132: PetscErrorCode SetInitialCondition(DM dm, Vec X, User user)
1133: {
1134: PetscErrorCode (*func[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
1135: void *ctx[1];
1136: Model mod = user->model;
1139: func[0] = SolutionFunctional;
1140: ctx[0] = (void *)mod;
1141: DMProjectFunction(dm, 0.0, func, ctx, INSERT_ALL_VALUES, X);
1142: return 0;
1143: }
1145: static PetscErrorCode OutputVTK(DM dm, const char *filename, PetscViewer *viewer)
1146: {
1148: PetscViewerCreate(PetscObjectComm((PetscObject)dm), viewer);
1149: PetscViewerSetType(*viewer, PETSCVIEWERVTK);
1150: PetscViewerFileSetName(*viewer, filename);
1151: return 0;
1152: }
1154: static PetscErrorCode MonitorVTK(TS ts, PetscInt stepnum, PetscReal time, Vec X, void *ctx)
1155: {
1156: User user = (User)ctx;
1157: DM dm, plex;
1158: PetscViewer viewer;
1159: char filename[PETSC_MAX_PATH_LEN], *ftable = NULL;
1160: PetscReal xnorm;
1163: PetscObjectSetName((PetscObject)X, "u");
1164: VecGetDM(X, &dm);
1165: VecNorm(X, NORM_INFINITY, &xnorm);
1167: if (stepnum >= 0) stepnum += user->monitorStepOffset;
1168: if (stepnum >= 0) { /* No summary for final time */
1169: Model mod = user->model;
1170: Vec cellgeom;
1171: PetscInt c, cStart, cEnd, fcount, i;
1172: size_t ftableused, ftablealloc;
1173: const PetscScalar *cgeom, *x;
1174: DM dmCell;
1175: DMLabel vtkLabel;
1176: PetscReal *fmin, *fmax, *fintegral, *ftmp;
1178: DMConvert(dm, DMPLEX, &plex);
1179: DMPlexGetGeometryFVM(plex, NULL, &cellgeom, NULL);
1180: fcount = mod->maxComputed + 1;
1181: PetscMalloc4(fcount, &fmin, fcount, &fmax, fcount, &fintegral, fcount, &ftmp);
1182: for (i = 0; i < fcount; i++) {
1183: fmin[i] = PETSC_MAX_REAL;
1184: fmax[i] = PETSC_MIN_REAL;
1185: fintegral[i] = 0;
1186: }
1187: VecGetDM(cellgeom, &dmCell);
1188: DMPlexGetSimplexOrBoxCells(dmCell, 0, &cStart, &cEnd);
1189: VecGetArrayRead(cellgeom, &cgeom);
1190: VecGetArrayRead(X, &x);
1191: DMGetLabel(dm, "vtk", &vtkLabel);
1192: for (c = cStart; c < cEnd; ++c) {
1193: PetscFVCellGeom *cg;
1194: const PetscScalar *cx = NULL;
1195: PetscInt vtkVal = 0;
1197: /* not that these two routines as currently implemented work for any dm with a
1198: * localSection/globalSection */
1199: DMPlexPointLocalRead(dmCell, c, cgeom, &cg);
1200: DMPlexPointGlobalRead(dm, c, x, &cx);
1201: if (vtkLabel) DMLabelGetValue(vtkLabel, c, &vtkVal);
1202: if (!vtkVal || !cx) continue; /* ghost, or not a global cell */
1203: for (i = 0; i < mod->numCall; i++) {
1204: FunctionalLink flink = mod->functionalCall[i];
1205: (*flink->func)(mod, time, cg->centroid, cx, ftmp, flink->ctx);
1206: }
1207: for (i = 0; i < fcount; i++) {
1208: fmin[i] = PetscMin(fmin[i], ftmp[i]);
1209: fmax[i] = PetscMax(fmax[i], ftmp[i]);
1210: fintegral[i] += cg->volume * ftmp[i];
1211: }
1212: }
1213: VecRestoreArrayRead(cellgeom, &cgeom);
1214: VecRestoreArrayRead(X, &x);
1215: DMDestroy(&plex);
1216: MPI_Allreduce(MPI_IN_PLACE, fmin, fcount, MPIU_REAL, MPIU_MIN, PetscObjectComm((PetscObject)ts));
1217: MPI_Allreduce(MPI_IN_PLACE, fmax, fcount, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)ts));
1218: MPI_Allreduce(MPI_IN_PLACE, fintegral, fcount, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)ts));
1220: ftablealloc = fcount * 100;
1221: ftableused = 0;
1222: PetscMalloc1(ftablealloc, &ftable);
1223: for (i = 0; i < mod->numMonitored; i++) {
1224: size_t countused;
1225: char buffer[256], *p;
1226: FunctionalLink flink = mod->functionalMonitored[i];
1227: PetscInt id = flink->offset;
1228: if (i % 3) {
1229: PetscArraycpy(buffer, " ", 2);
1230: p = buffer + 2;
1231: } else if (i) {
1232: char newline[] = "\n";
1233: PetscMemcpy(buffer, newline, sizeof(newline) - 1);
1234: p = buffer + sizeof(newline) - 1;
1235: } else {
1236: p = buffer;
1237: }
1238: PetscSNPrintfCount(p, sizeof buffer - (p - buffer), "%12s [%10.7g,%10.7g] int %10.7g", &countused, flink->name, (double)fmin[id], (double)fmax[id], (double)fintegral[id]);
1239: countused--;
1240: countused += p - buffer;
1241: if (countused > ftablealloc - ftableused - 1) { /* reallocate */
1242: char *ftablenew;
1243: ftablealloc = 2 * ftablealloc + countused;
1244: PetscMalloc(ftablealloc, &ftablenew);
1245: PetscArraycpy(ftablenew, ftable, ftableused);
1246: PetscFree(ftable);
1247: ftable = ftablenew;
1248: }
1249: PetscArraycpy(ftable + ftableused, buffer, countused);
1250: ftableused += countused;
1251: ftable[ftableused] = 0;
1252: }
1253: PetscFree4(fmin, fmax, fintegral, ftmp);
1255: PetscPrintf(PetscObjectComm((PetscObject)ts), "% 3" PetscInt_FMT " time %8.4g |x| %8.4g %s\n", stepnum, (double)time, (double)xnorm, ftable ? ftable : "");
1256: PetscFree(ftable);
1257: }
1258: if (user->vtkInterval < 1) return 0;
1259: if ((stepnum == -1) ^ (stepnum % user->vtkInterval == 0)) {
1260: if (stepnum == -1) { /* Final time is not multiple of normal time interval, write it anyway */
1261: TSGetStepNumber(ts, &stepnum);
1262: }
1263: PetscSNPrintf(filename, sizeof filename, "%s-%03" PetscInt_FMT ".vtu", user->outputBasename, stepnum);
1264: OutputVTK(dm, filename, &viewer);
1265: VecView(X, viewer);
1266: PetscViewerDestroy(&viewer);
1267: }
1268: return 0;
1269: }
1271: static PetscErrorCode initializeTS(DM dm, User user, TS *ts)
1272: {
1274: TSCreate(PetscObjectComm((PetscObject)dm), ts);
1275: TSSetType(*ts, TSSSP);
1276: TSSetDM(*ts, dm);
1277: if (user->vtkmon) TSMonitorSet(*ts, MonitorVTK, user, NULL);
1278: DMTSSetBoundaryLocal(dm, DMPlexTSComputeBoundary, user);
1279: DMTSSetRHSFunctionLocal(dm, DMPlexTSComputeRHSFunctionFVM, user);
1280: TSSetMaxTime(*ts, 2.0);
1281: TSSetExactFinalTime(*ts, TS_EXACTFINALTIME_STEPOVER);
1282: return 0;
1283: }
1285: static PetscErrorCode adaptToleranceFVM(PetscFV fvm, TS ts, Vec sol, VecTagger refineTag, VecTagger coarsenTag, User user, TS *tsNew, Vec *solNew)
1286: {
1287: DM dm, gradDM, plex, cellDM, adaptedDM = NULL;
1288: Vec cellGeom, faceGeom;
1289: PetscBool isForest, computeGradient;
1290: Vec grad, locGrad, locX, errVec;
1291: PetscInt cStart, cEnd, c, dim, nRefine, nCoarsen;
1292: PetscReal minMaxInd[2] = {PETSC_MAX_REAL, PETSC_MIN_REAL}, minMaxIndGlobal[2], minInd, maxInd, time;
1293: PetscScalar *errArray;
1294: const PetscScalar *pointVals;
1295: const PetscScalar *pointGrads;
1296: const PetscScalar *pointGeom;
1297: DMLabel adaptLabel = NULL;
1298: IS refineIS, coarsenIS;
1301: TSGetTime(ts, &time);
1302: VecGetDM(sol, &dm);
1303: DMGetDimension(dm, &dim);
1304: PetscFVGetComputeGradients(fvm, &computeGradient);
1305: PetscFVSetComputeGradients(fvm, PETSC_TRUE);
1306: DMIsForest(dm, &isForest);
1307: DMConvert(dm, DMPLEX, &plex);
1308: DMPlexGetDataFVM(plex, fvm, &cellGeom, &faceGeom, &gradDM);
1309: DMCreateLocalVector(plex, &locX);
1310: DMPlexInsertBoundaryValues(plex, PETSC_TRUE, locX, 0.0, faceGeom, cellGeom, NULL);
1311: DMGlobalToLocalBegin(plex, sol, INSERT_VALUES, locX);
1312: DMGlobalToLocalEnd(plex, sol, INSERT_VALUES, locX);
1313: DMCreateGlobalVector(gradDM, &grad);
1314: DMPlexReconstructGradientsFVM(plex, locX, grad);
1315: DMCreateLocalVector(gradDM, &locGrad);
1316: DMGlobalToLocalBegin(gradDM, grad, INSERT_VALUES, locGrad);
1317: DMGlobalToLocalEnd(gradDM, grad, INSERT_VALUES, locGrad);
1318: VecDestroy(&grad);
1319: DMPlexGetSimplexOrBoxCells(plex, 0, &cStart, &cEnd);
1320: VecGetArrayRead(locGrad, &pointGrads);
1321: VecGetArrayRead(cellGeom, &pointGeom);
1322: VecGetArrayRead(locX, &pointVals);
1323: VecGetDM(cellGeom, &cellDM);
1324: DMLabelCreate(PETSC_COMM_SELF, "adapt", &adaptLabel);
1325: VecCreateMPI(PetscObjectComm((PetscObject)plex), cEnd - cStart, PETSC_DETERMINE, &errVec);
1326: VecSetUp(errVec);
1327: VecGetArray(errVec, &errArray);
1328: for (c = cStart; c < cEnd; c++) {
1329: PetscReal errInd = 0.;
1330: PetscScalar *pointGrad;
1331: PetscScalar *pointVal;
1332: PetscFVCellGeom *cg;
1334: DMPlexPointLocalRead(gradDM, c, pointGrads, &pointGrad);
1335: DMPlexPointLocalRead(cellDM, c, pointGeom, &cg);
1336: DMPlexPointLocalRead(plex, c, pointVals, &pointVal);
1338: (user->model->errorIndicator)(dim, cg->volume, user->model->physics->dof, pointVal, pointGrad, &errInd, user->model->errorCtx);
1339: errArray[c - cStart] = errInd;
1340: minMaxInd[0] = PetscMin(minMaxInd[0], errInd);
1341: minMaxInd[1] = PetscMax(minMaxInd[1], errInd);
1342: }
1343: VecRestoreArray(errVec, &errArray);
1344: VecRestoreArrayRead(locX, &pointVals);
1345: VecRestoreArrayRead(cellGeom, &pointGeom);
1346: VecRestoreArrayRead(locGrad, &pointGrads);
1347: VecDestroy(&locGrad);
1348: VecDestroy(&locX);
1349: DMDestroy(&plex);
1351: VecTaggerComputeIS(refineTag, errVec, &refineIS, NULL);
1352: VecTaggerComputeIS(coarsenTag, errVec, &coarsenIS, NULL);
1353: ISGetSize(refineIS, &nRefine);
1354: ISGetSize(coarsenIS, &nCoarsen);
1355: if (nRefine) DMLabelSetStratumIS(adaptLabel, DM_ADAPT_REFINE, refineIS);
1356: if (nCoarsen) DMLabelSetStratumIS(adaptLabel, DM_ADAPT_COARSEN, coarsenIS);
1357: ISDestroy(&coarsenIS);
1358: ISDestroy(&refineIS);
1359: VecDestroy(&errVec);
1361: PetscFVSetComputeGradients(fvm, computeGradient);
1362: minMaxInd[1] = -minMaxInd[1];
1363: MPI_Allreduce(minMaxInd, minMaxIndGlobal, 2, MPIU_REAL, MPI_MIN, PetscObjectComm((PetscObject)dm));
1364: minInd = minMaxIndGlobal[0];
1365: maxInd = -minMaxIndGlobal[1];
1366: PetscInfo(ts, "error indicator range (%E, %E)\n", (double)minInd, (double)maxInd);
1367: if (nRefine || nCoarsen) { /* at least one cell is over the refinement threshold */
1368: DMAdaptLabel(dm, adaptLabel, &adaptedDM);
1369: }
1370: DMLabelDestroy(&adaptLabel);
1371: if (adaptedDM) {
1372: PetscInfo(ts, "Adapted mesh, marking %" PetscInt_FMT " cells for refinement, and %" PetscInt_FMT " cells for coarsening\n", nRefine, nCoarsen);
1373: if (tsNew) initializeTS(adaptedDM, user, tsNew);
1374: if (solNew) {
1375: DMCreateGlobalVector(adaptedDM, solNew);
1376: PetscObjectSetName((PetscObject)*solNew, "solution");
1377: DMForestTransferVec(dm, sol, adaptedDM, *solNew, PETSC_TRUE, time);
1378: }
1379: if (isForest) DMForestSetAdaptivityForest(adaptedDM, NULL); /* clear internal references to the previous dm */
1380: DMDestroy(&adaptedDM);
1381: } else {
1382: if (tsNew) *tsNew = NULL;
1383: if (solNew) *solNew = NULL;
1384: }
1385: return 0;
1386: }
1388: int main(int argc, char **argv)
1389: {
1390: MPI_Comm comm;
1391: PetscDS prob;
1392: PetscFV fvm;
1393: PetscLimiter limiter = NULL, noneLimiter = NULL;
1394: User user;
1395: Model mod;
1396: Physics phys;
1397: DM dm, plex;
1398: PetscReal ftime, cfl, dt, minRadius;
1399: PetscInt dim, nsteps;
1400: TS ts;
1401: TSConvergedReason reason;
1402: Vec X;
1403: PetscViewer viewer;
1404: PetscBool vtkCellGeom, useAMR;
1405: PetscInt adaptInterval;
1406: char physname[256] = "advect";
1407: VecTagger refineTag = NULL, coarsenTag = NULL;
1410: PetscInitialize(&argc, &argv, (char *)0, help);
1411: comm = PETSC_COMM_WORLD;
1413: PetscNew(&user);
1414: PetscNew(&user->model);
1415: PetscNew(&user->model->physics);
1416: mod = user->model;
1417: phys = mod->physics;
1418: mod->comm = comm;
1419: useAMR = PETSC_FALSE;
1420: adaptInterval = 1;
1422: /* Register physical models to be available on the command line */
1423: PetscFunctionListAdd(&PhysicsList, "advect", PhysicsCreate_Advect);
1424: PetscFunctionListAdd(&PhysicsList, "sw", PhysicsCreate_SW);
1425: PetscFunctionListAdd(&PhysicsList, "euler", PhysicsCreate_Euler);
1427: PetscOptionsBegin(comm, NULL, "Unstructured Finite Volume Mesh Options", "");
1428: {
1429: cfl = 0.9 * 4; /* default SSPRKS2 with s=5 stages is stable for CFL number s-1 */
1430: PetscOptionsReal("-ufv_cfl", "CFL number per step", "", cfl, &cfl, NULL);
1431: user->vtkInterval = 1;
1432: PetscOptionsInt("-ufv_vtk_interval", "VTK output interval (0 to disable)", "", user->vtkInterval, &user->vtkInterval, NULL);
1433: user->vtkmon = PETSC_TRUE;
1434: PetscOptionsBool("-ufv_vtk_monitor", "Use VTKMonitor routine", "", user->vtkmon, &user->vtkmon, NULL);
1435: vtkCellGeom = PETSC_FALSE;
1436: PetscStrcpy(user->outputBasename, "ex11");
1437: PetscOptionsString("-ufv_vtk_basename", "VTK output basename", "", user->outputBasename, user->outputBasename, sizeof(user->outputBasename), NULL);
1438: PetscOptionsBool("-ufv_vtk_cellgeom", "Write cell geometry (for debugging)", "", vtkCellGeom, &vtkCellGeom, NULL);
1439: PetscOptionsBool("-ufv_use_amr", "use local adaptive mesh refinement", "", useAMR, &useAMR, NULL);
1440: PetscOptionsInt("-ufv_adapt_interval", "time steps between AMR", "", adaptInterval, &adaptInterval, NULL);
1441: }
1442: PetscOptionsEnd();
1444: if (useAMR) {
1445: VecTaggerBox refineBox, coarsenBox;
1447: refineBox.min = refineBox.max = PETSC_MAX_REAL;
1448: coarsenBox.min = coarsenBox.max = PETSC_MIN_REAL;
1450: VecTaggerCreate(comm, &refineTag);
1451: PetscObjectSetOptionsPrefix((PetscObject)refineTag, "refine_");
1452: VecTaggerSetType(refineTag, VECTAGGERABSOLUTE);
1453: VecTaggerAbsoluteSetBox(refineTag, &refineBox);
1454: VecTaggerSetFromOptions(refineTag);
1455: VecTaggerSetUp(refineTag);
1456: PetscObjectViewFromOptions((PetscObject)refineTag, NULL, "-tag_view");
1458: VecTaggerCreate(comm, &coarsenTag);
1459: PetscObjectSetOptionsPrefix((PetscObject)coarsenTag, "coarsen_");
1460: VecTaggerSetType(coarsenTag, VECTAGGERABSOLUTE);
1461: VecTaggerAbsoluteSetBox(coarsenTag, &coarsenBox);
1462: VecTaggerSetFromOptions(coarsenTag);
1463: VecTaggerSetUp(coarsenTag);
1464: PetscObjectViewFromOptions((PetscObject)coarsenTag, NULL, "-tag_view");
1465: }
1467: PetscOptionsBegin(comm, NULL, "Unstructured Finite Volume Physics Options", "");
1468: {
1469: PetscErrorCode (*physcreate)(Model, Physics, PetscOptionItems *);
1470: PetscOptionsFList("-physics", "Physics module to solve", "", PhysicsList, physname, physname, sizeof physname, NULL);
1471: PetscFunctionListFind(PhysicsList, physname, &physcreate);
1472: PetscMemzero(phys, sizeof(struct _n_Physics));
1473: (*physcreate)(mod, phys, PetscOptionsObject);
1474: /* Count number of fields and dofs */
1475: for (phys->nfields = 0, phys->dof = 0; phys->field_desc[phys->nfields].name; phys->nfields++) phys->dof += phys->field_desc[phys->nfields].dof;
1477: ModelFunctionalSetFromOptions(mod, PetscOptionsObject);
1478: }
1479: PetscOptionsEnd();
1481: /* Create mesh */
1482: {
1483: PetscInt i;
1485: DMCreate(comm, &dm);
1486: DMSetType(dm, DMPLEX);
1487: DMSetFromOptions(dm);
1488: for (i = 0; i < DIM; i++) {
1489: mod->bounds[2 * i] = 0.;
1490: mod->bounds[2 * i + 1] = 1.;
1491: };
1492: dim = DIM;
1493: { /* a null name means just do a hex box */
1494: PetscInt cells[3] = {1, 1, 1}, n = 3;
1495: PetscBool flg2, skew = PETSC_FALSE;
1496: PetscInt nret2 = 2 * DIM;
1497: PetscOptionsBegin(comm, NULL, "Rectangular mesh options", "");
1498: PetscOptionsRealArray("-grid_bounds", "bounds of the mesh in each direction (i.e., x_min,x_max,y_min,y_max", "", mod->bounds, &nret2, &flg2);
1499: PetscOptionsBool("-grid_skew_60", "Skew grid for 60 degree shock mesh", "", skew, &skew, NULL);
1500: PetscOptionsIntArray("-dm_plex_box_faces", "Number of faces along each dimension", "", cells, &n, NULL);
1501: PetscOptionsEnd();
1502: /* TODO Rewrite this with Mark, and remove grid_bounds at that time */
1503: if (flg2) {
1504: PetscInt dimEmbed, i;
1505: PetscInt nCoords;
1506: PetscScalar *coords;
1507: Vec coordinates;
1509: DMGetCoordinatesLocal(dm, &coordinates);
1510: DMGetCoordinateDim(dm, &dimEmbed);
1511: VecGetLocalSize(coordinates, &nCoords);
1513: VecGetArray(coordinates, &coords);
1514: for (i = 0; i < nCoords; i += dimEmbed) {
1515: PetscInt j;
1517: PetscScalar *coord = &coords[i];
1518: for (j = 0; j < dimEmbed; j++) {
1519: coord[j] = mod->bounds[2 * j] + coord[j] * (mod->bounds[2 * j + 1] - mod->bounds[2 * j]);
1520: if (dim == 2 && cells[1] == 1 && j == 0 && skew) {
1521: if (cells[0] == 2 && i == 8) {
1522: coord[j] = .57735026918963; /* hack to get 60 deg skewed mesh */
1523: } else if (cells[0] == 3) {
1524: if (i == 2 || i == 10) coord[j] = mod->bounds[1] / 4.;
1525: else if (i == 4) coord[j] = mod->bounds[1] / 2.;
1526: else if (i == 12) coord[j] = 1.57735026918963 * mod->bounds[1] / 2.;
1527: }
1528: }
1529: }
1530: }
1531: VecRestoreArray(coordinates, &coords);
1532: DMSetCoordinatesLocal(dm, coordinates);
1533: }
1534: }
1535: }
1536: DMViewFromOptions(dm, NULL, "-orig_dm_view");
1537: DMGetDimension(dm, &dim);
1539: /* set up BCs, functions, tags */
1540: DMCreateLabel(dm, "Face Sets");
1541: mod->errorIndicator = ErrorIndicator_Simple;
1543: {
1544: DM gdm;
1546: DMPlexConstructGhostCells(dm, NULL, NULL, &gdm);
1547: DMDestroy(&dm);
1548: dm = gdm;
1549: DMViewFromOptions(dm, NULL, "-dm_view");
1550: }
1552: PetscFVCreate(comm, &fvm);
1553: PetscFVSetFromOptions(fvm);
1554: PetscFVSetNumComponents(fvm, phys->dof);
1555: PetscFVSetSpatialDimension(fvm, dim);
1556: PetscObjectSetName((PetscObject)fvm, "");
1557: {
1558: PetscInt f, dof;
1559: for (f = 0, dof = 0; f < phys->nfields; f++) {
1560: PetscInt newDof = phys->field_desc[f].dof;
1562: if (newDof == 1) {
1563: PetscFVSetComponentName(fvm, dof, phys->field_desc[f].name);
1564: } else {
1565: PetscInt j;
1567: for (j = 0; j < newDof; j++) {
1568: char compName[256] = "Unknown";
1570: PetscSNPrintf(compName, sizeof(compName), "%s_%" PetscInt_FMT, phys->field_desc[f].name, j);
1571: PetscFVSetComponentName(fvm, dof + j, compName);
1572: }
1573: }
1574: dof += newDof;
1575: }
1576: }
1577: /* FV is now structured with one field having all physics as components */
1578: DMAddField(dm, NULL, (PetscObject)fvm);
1579: DMCreateDS(dm);
1580: DMGetDS(dm, &prob);
1581: PetscDSSetRiemannSolver(prob, 0, user->model->physics->riemann);
1582: PetscDSSetContext(prob, 0, user->model->physics);
1583: (*mod->setupbc)(dm, prob, phys);
1584: PetscDSSetFromOptions(prob);
1585: {
1586: char convType[256];
1587: PetscBool flg;
1589: PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");
1590: PetscOptionsFList("-dm_type", "Convert DMPlex to another format", "ex12", DMList, DMPLEX, convType, 256, &flg);
1591: PetscOptionsEnd();
1592: if (flg) {
1593: DM dmConv;
1595: DMConvert(dm, convType, &dmConv);
1596: if (dmConv) {
1597: DMViewFromOptions(dmConv, NULL, "-dm_conv_view");
1598: DMDestroy(&dm);
1599: dm = dmConv;
1600: DMSetFromOptions(dm);
1601: }
1602: }
1603: }
1605: initializeTS(dm, user, &ts);
1607: DMCreateGlobalVector(dm, &X);
1608: PetscObjectSetName((PetscObject)X, "solution");
1609: SetInitialCondition(dm, X, user);
1610: if (useAMR) {
1611: PetscInt adaptIter;
1613: /* use no limiting when reconstructing gradients for adaptivity */
1614: PetscFVGetLimiter(fvm, &limiter);
1615: PetscObjectReference((PetscObject)limiter);
1616: PetscLimiterCreate(PetscObjectComm((PetscObject)fvm), &noneLimiter);
1617: PetscLimiterSetType(noneLimiter, PETSCLIMITERNONE);
1619: PetscFVSetLimiter(fvm, noneLimiter);
1620: for (adaptIter = 0;; ++adaptIter) {
1621: PetscLogDouble bytes;
1622: TS tsNew = NULL;
1624: PetscMemoryGetCurrentUsage(&bytes);
1625: PetscInfo(ts, "refinement loop %" PetscInt_FMT ": memory used %g\n", adaptIter, (double)bytes);
1626: DMViewFromOptions(dm, NULL, "-initial_dm_view");
1627: VecViewFromOptions(X, NULL, "-initial_vec_view");
1628: #if 0
1629: if (viewInitial) {
1630: PetscViewer viewer;
1631: char buf[256];
1632: PetscBool isHDF5, isVTK;
1634: PetscViewerCreate(comm,&viewer);
1635: PetscViewerSetType(viewer,PETSCVIEWERVTK);
1636: PetscViewerSetOptionsPrefix(viewer,"initial_");
1637: PetscViewerSetFromOptions(viewer);
1638: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERHDF5,&isHDF5);
1639: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERVTK,&isVTK);
1640: if (isHDF5) {
1641: PetscSNPrintf(buf, 256, "ex11-initial-%" PetscInt_FMT ".h5", adaptIter);
1642: } else if (isVTK) {
1643: PetscSNPrintf(buf, 256, "ex11-initial-%" PetscInt_FMT ".vtu", adaptIter);
1644: PetscViewerPushFormat(viewer,PETSC_VIEWER_VTK_VTU);
1645: }
1646: PetscViewerFileSetMode(viewer,FILE_MODE_WRITE);
1647: PetscViewerFileSetName(viewer,buf);
1648: if (isHDF5) {
1649: DMView(dm,viewer);
1650: PetscViewerFileSetMode(viewer,FILE_MODE_UPDATE);
1651: }
1652: VecView(X,viewer);
1653: PetscViewerDestroy(&viewer);
1654: }
1655: #endif
1657: adaptToleranceFVM(fvm, ts, X, refineTag, coarsenTag, user, &tsNew, NULL);
1658: if (!tsNew) {
1659: break;
1660: } else {
1661: DMDestroy(&dm);
1662: VecDestroy(&X);
1663: TSDestroy(&ts);
1664: ts = tsNew;
1665: TSGetDM(ts, &dm);
1666: PetscObjectReference((PetscObject)dm);
1667: DMCreateGlobalVector(dm, &X);
1668: PetscObjectSetName((PetscObject)X, "solution");
1669: SetInitialCondition(dm, X, user);
1670: }
1671: }
1672: /* restore original limiter */
1673: PetscFVSetLimiter(fvm, limiter);
1674: }
1676: DMConvert(dm, DMPLEX, &plex);
1677: if (vtkCellGeom) {
1678: DM dmCell;
1679: Vec cellgeom, partition;
1681: DMPlexGetGeometryFVM(plex, NULL, &cellgeom, NULL);
1682: OutputVTK(dm, "ex11-cellgeom.vtk", &viewer);
1683: VecView(cellgeom, viewer);
1684: PetscViewerDestroy(&viewer);
1685: CreatePartitionVec(dm, &dmCell, &partition);
1686: OutputVTK(dmCell, "ex11-partition.vtk", &viewer);
1687: VecView(partition, viewer);
1688: PetscViewerDestroy(&viewer);
1689: VecDestroy(&partition);
1690: DMDestroy(&dmCell);
1691: }
1692: /* collect max maxspeed from all processes -- todo */
1693: DMPlexGetGeometryFVM(plex, NULL, NULL, &minRadius);
1694: DMDestroy(&plex);
1695: MPI_Allreduce(&phys->maxspeed, &mod->maxspeed, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)ts));
1697: dt = cfl * minRadius / mod->maxspeed;
1698: TSSetTimeStep(ts, dt);
1699: TSSetFromOptions(ts);
1700: if (!useAMR) {
1701: TSSolve(ts, X);
1702: TSGetSolveTime(ts, &ftime);
1703: TSGetStepNumber(ts, &nsteps);
1704: } else {
1705: PetscReal finalTime;
1706: PetscInt adaptIter;
1707: TS tsNew = NULL;
1708: Vec solNew = NULL;
1710: TSGetMaxTime(ts, &finalTime);
1711: TSSetMaxSteps(ts, adaptInterval);
1712: TSSolve(ts, X);
1713: TSGetSolveTime(ts, &ftime);
1714: TSGetStepNumber(ts, &nsteps);
1715: for (adaptIter = 0; ftime < finalTime; adaptIter++) {
1716: PetscLogDouble bytes;
1718: PetscMemoryGetCurrentUsage(&bytes);
1719: PetscInfo(ts, "AMR time step loop %" PetscInt_FMT ": memory used %g\n", adaptIter, bytes);
1720: PetscFVSetLimiter(fvm, noneLimiter);
1721: adaptToleranceFVM(fvm, ts, X, refineTag, coarsenTag, user, &tsNew, &solNew);
1722: PetscFVSetLimiter(fvm, limiter);
1723: if (tsNew) {
1724: PetscInfo(ts, "AMR used\n");
1725: DMDestroy(&dm);
1726: VecDestroy(&X);
1727: TSDestroy(&ts);
1728: ts = tsNew;
1729: X = solNew;
1730: TSSetFromOptions(ts);
1731: VecGetDM(X, &dm);
1732: PetscObjectReference((PetscObject)dm);
1733: DMConvert(dm, DMPLEX, &plex);
1734: DMPlexGetGeometryFVM(dm, NULL, NULL, &minRadius);
1735: DMDestroy(&plex);
1736: MPI_Allreduce(&phys->maxspeed, &mod->maxspeed, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)ts));
1738: dt = cfl * minRadius / mod->maxspeed;
1739: TSSetStepNumber(ts, nsteps);
1740: TSSetTime(ts, ftime);
1741: TSSetTimeStep(ts, dt);
1742: } else {
1743: PetscInfo(ts, "AMR not used\n");
1744: }
1745: user->monitorStepOffset = nsteps;
1746: TSSetMaxSteps(ts, nsteps + adaptInterval);
1747: TSSolve(ts, X);
1748: TSGetSolveTime(ts, &ftime);
1749: TSGetStepNumber(ts, &nsteps);
1750: }
1751: }
1752: TSGetConvergedReason(ts, &reason);
1753: PetscPrintf(PETSC_COMM_WORLD, "%s at time %g after %" PetscInt_FMT " steps\n", TSConvergedReasons[reason], (double)ftime, nsteps);
1754: TSDestroy(&ts);
1756: VecTaggerDestroy(&refineTag);
1757: VecTaggerDestroy(&coarsenTag);
1758: PetscFunctionListDestroy(&PhysicsList);
1759: PetscFunctionListDestroy(&PhysicsRiemannList_SW);
1760: FunctionalLinkDestroy(&user->model->functionalRegistry);
1761: PetscFree(user->model->functionalMonitored);
1762: PetscFree(user->model->functionalCall);
1763: PetscFree(user->model->physics->data);
1764: PetscFree(user->model->physics);
1765: PetscFree(user->model);
1766: PetscFree(user);
1767: VecDestroy(&X);
1768: PetscLimiterDestroy(&limiter);
1769: PetscLimiterDestroy(&noneLimiter);
1770: PetscFVDestroy(&fvm);
1771: DMDestroy(&dm);
1772: PetscFinalize();
1773: return 0;
1774: }
1776: /* Godunov fluxs */
1777: PetscScalar cvmgp_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
1778: {
1779: /* System generated locals */
1780: PetscScalar ret_val;
1782: if (PetscRealPart(*test) > 0.) goto L10;
1783: ret_val = *b;
1784: return ret_val;
1785: L10:
1786: ret_val = *a;
1787: return ret_val;
1788: } /* cvmgp_ */
1790: PetscScalar cvmgm_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
1791: {
1792: /* System generated locals */
1793: PetscScalar ret_val;
1795: if (PetscRealPart(*test) < 0.) goto L10;
1796: ret_val = *b;
1797: return ret_val;
1798: L10:
1799: ret_val = *a;
1800: return ret_val;
1801: } /* cvmgm_ */
1803: int riem1mdt(PetscScalar *gaml, PetscScalar *gamr, PetscScalar *rl, PetscScalar *pl, PetscScalar *uxl, PetscScalar *rr, PetscScalar *pr, PetscScalar *uxr, PetscScalar *rstarl, PetscScalar *rstarr, PetscScalar *pstar, PetscScalar *ustar)
1804: {
1805: /* Initialized data */
1807: static PetscScalar smallp = 1e-8;
1809: /* System generated locals */
1810: int i__1;
1811: PetscScalar d__1, d__2;
1813: /* Local variables */
1814: static int i0;
1815: static PetscScalar cl, cr, wl, zl, wr, zr, pst, durl, skpr1, skpr2;
1816: static int iwave;
1817: static PetscScalar gascl4, gascr4, cstarl, dpstar, cstarr;
1818: /* static PetscScalar csqrl, csqrr, gascl1, gascl2, gascl3, gascr1, gascr2, gascr3; */
1819: static int iterno;
1820: static PetscScalar ustarl, ustarr, rarepr1, rarepr2;
1822: /* gascl1 = *gaml - 1.; */
1823: /* gascl2 = (*gaml + 1.) * .5; */
1824: /* gascl3 = gascl2 / *gaml; */
1825: gascl4 = 1. / (*gaml - 1.);
1827: /* gascr1 = *gamr - 1.; */
1828: /* gascr2 = (*gamr + 1.) * .5; */
1829: /* gascr3 = gascr2 / *gamr; */
1830: gascr4 = 1. / (*gamr - 1.);
1831: iterno = 10;
1832: /* find pstar: */
1833: cl = PetscSqrtScalar(*gaml * *pl / *rl);
1834: cr = PetscSqrtScalar(*gamr * *pr / *rr);
1835: wl = *rl * cl;
1836: wr = *rr * cr;
1837: /* csqrl = wl * wl; */
1838: /* csqrr = wr * wr; */
1839: *pstar = (wl * *pr + wr * *pl) / (wl + wr);
1840: *pstar = PetscMax(PetscRealPart(*pstar), PetscRealPart(smallp));
1841: pst = *pl / *pr;
1842: skpr1 = cr * (pst - 1.) * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
1843: d__1 = (*gamr - 1.) / (*gamr * 2.);
1844: rarepr2 = gascr4 * 2. * cr * (1. - PetscPowScalar(pst, d__1));
1845: pst = *pr / *pl;
1846: skpr2 = cl * (pst - 1.) * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
1847: d__1 = (*gaml - 1.) / (*gaml * 2.);
1848: rarepr1 = gascl4 * 2. * cl * (1. - PetscPowScalar(pst, d__1));
1849: durl = *uxr - *uxl;
1850: if (PetscRealPart(*pr) < PetscRealPart(*pl)) {
1851: if (PetscRealPart(durl) >= PetscRealPart(rarepr1)) {
1852: iwave = 100;
1853: } else if (PetscRealPart(durl) <= PetscRealPart(-skpr1)) {
1854: iwave = 300;
1855: } else {
1856: iwave = 400;
1857: }
1858: } else {
1859: if (PetscRealPart(durl) >= PetscRealPart(rarepr2)) {
1860: iwave = 100;
1861: } else if (PetscRealPart(durl) <= PetscRealPart(-skpr2)) {
1862: iwave = 300;
1863: } else {
1864: iwave = 200;
1865: }
1866: }
1867: if (iwave == 100) {
1868: /* 1-wave: rarefaction wave, 3-wave: rarefaction wave */
1869: /* case (100) */
1870: i__1 = iterno;
1871: for (i0 = 1; i0 <= i__1; ++i0) {
1872: d__1 = *pstar / *pl;
1873: d__2 = 1. / *gaml;
1874: *rstarl = *rl * PetscPowScalar(d__1, d__2);
1875: cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
1876: ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
1877: zl = *rstarl * cstarl;
1878: d__1 = *pstar / *pr;
1879: d__2 = 1. / *gamr;
1880: *rstarr = *rr * PetscPowScalar(d__1, d__2);
1881: cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
1882: ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
1883: zr = *rstarr * cstarr;
1884: dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
1885: *pstar -= dpstar;
1886: *pstar = PetscMax(PetscRealPart(*pstar), PetscRealPart(smallp));
1887: if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
1888: #if 0
1889: break;
1890: #endif
1891: }
1892: }
1893: /* 1-wave: shock wave, 3-wave: rarefaction wave */
1894: } else if (iwave == 200) {
1895: /* case (200) */
1896: i__1 = iterno;
1897: for (i0 = 1; i0 <= i__1; ++i0) {
1898: pst = *pstar / *pl;
1899: ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
1900: zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
1901: d__1 = *pstar / *pr;
1902: d__2 = 1. / *gamr;
1903: *rstarr = *rr * PetscPowScalar(d__1, d__2);
1904: cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
1905: zr = *rstarr * cstarr;
1906: ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
1907: dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
1908: *pstar -= dpstar;
1909: *pstar = PetscMax(PetscRealPart(*pstar), PetscRealPart(smallp));
1910: if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
1911: #if 0
1912: break;
1913: #endif
1914: }
1915: }
1916: /* 1-wave: shock wave, 3-wave: shock */
1917: } else if (iwave == 300) {
1918: /* case (300) */
1919: i__1 = iterno;
1920: for (i0 = 1; i0 <= i__1; ++i0) {
1921: pst = *pstar / *pl;
1922: ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
1923: zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
1924: pst = *pstar / *pr;
1925: ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
1926: zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
1927: dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
1928: *pstar -= dpstar;
1929: *pstar = PetscMax(PetscRealPart(*pstar), PetscRealPart(smallp));
1930: if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
1931: #if 0
1932: break;
1933: #endif
1934: }
1935: }
1936: /* 1-wave: rarefaction wave, 3-wave: shock */
1937: } else if (iwave == 400) {
1938: /* case (400) */
1939: i__1 = iterno;
1940: for (i0 = 1; i0 <= i__1; ++i0) {
1941: d__1 = *pstar / *pl;
1942: d__2 = 1. / *gaml;
1943: *rstarl = *rl * PetscPowScalar(d__1, d__2);
1944: cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
1945: ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
1946: zl = *rstarl * cstarl;
1947: pst = *pstar / *pr;
1948: ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
1949: zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
1950: dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
1951: *pstar -= dpstar;
1952: *pstar = PetscMax(PetscRealPart(*pstar), PetscRealPart(smallp));
1953: if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
1954: #if 0
1955: break;
1956: #endif
1957: }
1958: }
1959: }
1961: *ustar = (zl * ustarr + zr * ustarl) / (zl + zr);
1962: if (PetscRealPart(*pstar) > PetscRealPart(*pl)) {
1963: pst = *pstar / *pl;
1964: *rstarl = ((*gaml + 1.) * pst + *gaml - 1.) / ((*gaml - 1.) * pst + *gaml + 1.) * *rl;
1965: }
1966: if (PetscRealPart(*pstar) > PetscRealPart(*pr)) {
1967: pst = *pstar / *pr;
1968: *rstarr = ((*gamr + 1.) * pst + *gamr - 1.) / ((*gamr - 1.) * pst + *gamr + 1.) * *rr;
1969: }
1970: return iwave;
1971: }
1973: PetscScalar sign(PetscScalar x)
1974: {
1975: if (PetscRealPart(x) > 0) return 1.0;
1976: if (PetscRealPart(x) < 0) return -1.0;
1977: return 0.0;
1978: }
1979: /* Riemann Solver */
1980: /* -------------------------------------------------------------------- */
1981: int riemannsolver(PetscScalar *xcen, PetscScalar *xp, PetscScalar *dtt, PetscScalar *rl, PetscScalar *uxl, PetscScalar *pl, PetscScalar *utl, PetscScalar *ubl, PetscScalar *gaml, PetscScalar *rho1l, PetscScalar *rr, PetscScalar *uxr, PetscScalar *pr, PetscScalar *utr, PetscScalar *ubr, PetscScalar *gamr, PetscScalar *rho1r, PetscScalar *rx, PetscScalar *uxm, PetscScalar *px, PetscScalar *utx, PetscScalar *ubx, PetscScalar *gam, PetscScalar *rho1)
1982: {
1983: /* System generated locals */
1984: PetscScalar d__1, d__2;
1986: /* Local variables */
1987: static PetscScalar s, c0, p0, r0, u0, w0, x0, x2, ri, cx, sgn0, wsp0, gasc1, gasc2, gasc3, gasc4;
1988: static PetscScalar cstar, pstar, rstar, ustar, xstar, wspst, ushock, streng, rstarl, rstarr, rstars;
1989: int iwave;
1991: if (*rl == *rr && *pr == *pl && *uxl == *uxr && *gaml == *gamr) {
1992: *rx = *rl;
1993: *px = *pl;
1994: *uxm = *uxl;
1995: *gam = *gaml;
1996: x2 = *xcen + *uxm * *dtt;
1998: if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
1999: *utx = *utr;
2000: *ubx = *ubr;
2001: *rho1 = *rho1r;
2002: } else {
2003: *utx = *utl;
2004: *ubx = *ubl;
2005: *rho1 = *rho1l;
2006: }
2007: return 0;
2008: }
2009: iwave = riem1mdt(gaml, gamr, rl, pl, uxl, rr, pr, uxr, &rstarl, &rstarr, &pstar, &ustar);
2011: x2 = *xcen + ustar * *dtt;
2012: d__1 = *xp - x2;
2013: sgn0 = sign(d__1);
2014: /* x is in 3-wave if sgn0 = 1 */
2015: /* x is in 1-wave if sgn0 = -1 */
2016: r0 = cvmgm_(rl, rr, &sgn0);
2017: p0 = cvmgm_(pl, pr, &sgn0);
2018: u0 = cvmgm_(uxl, uxr, &sgn0);
2019: *gam = cvmgm_(gaml, gamr, &sgn0);
2020: gasc1 = *gam - 1.;
2021: gasc2 = (*gam + 1.) * .5;
2022: gasc3 = gasc2 / *gam;
2023: gasc4 = 1. / (*gam - 1.);
2024: c0 = PetscSqrtScalar(*gam * p0 / r0);
2025: streng = pstar - p0;
2026: w0 = *gam * r0 * p0 * (gasc3 * streng / p0 + 1.);
2027: rstars = r0 / (1. - r0 * streng / w0);
2028: d__1 = p0 / pstar;
2029: d__2 = -1. / *gam;
2030: rstarr = r0 * PetscPowScalar(d__1, d__2);
2031: rstar = cvmgm_(&rstarr, &rstars, &streng);
2032: w0 = PetscSqrtScalar(w0);
2033: cstar = PetscSqrtScalar(*gam * pstar / rstar);
2034: wsp0 = u0 + sgn0 * c0;
2035: wspst = ustar + sgn0 * cstar;
2036: ushock = ustar + sgn0 * w0 / rstar;
2037: wspst = cvmgp_(&ushock, &wspst, &streng);
2038: wsp0 = cvmgp_(&ushock, &wsp0, &streng);
2039: x0 = *xcen + wsp0 * *dtt;
2040: xstar = *xcen + wspst * *dtt;
2041: /* using gas formula to evaluate rarefaction wave */
2042: /* ri : reiman invariant */
2043: ri = u0 - sgn0 * 2. * gasc4 * c0;
2044: cx = sgn0 * .5 * gasc1 / gasc2 * ((*xp - *xcen) / *dtt - ri);
2045: *uxm = ri + sgn0 * 2. * gasc4 * cx;
2046: s = p0 / PetscPowScalar(r0, *gam);
2047: d__1 = cx * cx / (*gam * s);
2048: *rx = PetscPowScalar(d__1, gasc4);
2049: *px = cx * cx * *rx / *gam;
2050: d__1 = sgn0 * (x0 - *xp);
2051: *rx = cvmgp_(rx, &r0, &d__1);
2052: d__1 = sgn0 * (x0 - *xp);
2053: *px = cvmgp_(px, &p0, &d__1);
2054: d__1 = sgn0 * (x0 - *xp);
2055: *uxm = cvmgp_(uxm, &u0, &d__1);
2056: d__1 = sgn0 * (xstar - *xp);
2057: *rx = cvmgm_(rx, &rstar, &d__1);
2058: d__1 = sgn0 * (xstar - *xp);
2059: *px = cvmgm_(px, &pstar, &d__1);
2060: d__1 = sgn0 * (xstar - *xp);
2061: *uxm = cvmgm_(uxm, &ustar, &d__1);
2062: if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
2063: *utx = *utr;
2064: *ubx = *ubr;
2065: *rho1 = *rho1r;
2066: } else {
2067: *utx = *utl;
2068: *ubx = *ubl;
2069: *rho1 = *rho1l;
2070: }
2071: return iwave;
2072: }
2073: int godunovflux(const PetscScalar *ul, const PetscScalar *ur, PetscScalar *flux, const PetscReal *nn, const int *ndim, const PetscReal *gamma)
2074: {
2075: /* System generated locals */
2076: int i__1, iwave;
2077: PetscScalar d__1, d__2, d__3;
2079: /* Local variables */
2080: static int k;
2081: static PetscScalar bn[3], fn, ft, tg[3], pl, rl, pm, pr, rr, xp, ubl, ubm, ubr, dtt, unm, tmp, utl, utm, uxl, utr, uxr, gaml, gamm, gamr, xcen, rhom, rho1l, rho1m, rho1r;
2083: /* Function Body */
2084: xcen = 0.;
2085: xp = 0.;
2086: i__1 = *ndim;
2087: for (k = 1; k <= i__1; ++k) {
2088: tg[k - 1] = 0.;
2089: bn[k - 1] = 0.;
2090: }
2091: dtt = 1.;
2092: if (*ndim == 3) {
2093: if (nn[0] == 0. && nn[1] == 0.) {
2094: tg[0] = 1.;
2095: } else {
2096: tg[0] = -nn[1];
2097: tg[1] = nn[0];
2098: }
2099: /* tmp=dsqrt(tg(1)**2+tg(2)**2) */
2100: /* tg=tg/tmp */
2101: bn[0] = -nn[2] * tg[1];
2102: bn[1] = nn[2] * tg[0];
2103: bn[2] = nn[0] * tg[1] - nn[1] * tg[0];
2104: /* Computing 2nd power */
2105: d__1 = bn[0];
2106: /* Computing 2nd power */
2107: d__2 = bn[1];
2108: /* Computing 2nd power */
2109: d__3 = bn[2];
2110: tmp = PetscSqrtScalar(d__1 * d__1 + d__2 * d__2 + d__3 * d__3);
2111: i__1 = *ndim;
2112: for (k = 1; k <= i__1; ++k) bn[k - 1] /= tmp;
2113: } else if (*ndim == 2) {
2114: tg[0] = -nn[1];
2115: tg[1] = nn[0];
2116: /* tmp=dsqrt(tg(1)**2+tg(2)**2) */
2117: /* tg=tg/tmp */
2118: bn[0] = 0.;
2119: bn[1] = 0.;
2120: bn[2] = 1.;
2121: }
2122: rl = ul[0];
2123: rr = ur[0];
2124: uxl = 0.;
2125: uxr = 0.;
2126: utl = 0.;
2127: utr = 0.;
2128: ubl = 0.;
2129: ubr = 0.;
2130: i__1 = *ndim;
2131: for (k = 1; k <= i__1; ++k) {
2132: uxl += ul[k] * nn[k - 1];
2133: uxr += ur[k] * nn[k - 1];
2134: utl += ul[k] * tg[k - 1];
2135: utr += ur[k] * tg[k - 1];
2136: ubl += ul[k] * bn[k - 1];
2137: ubr += ur[k] * bn[k - 1];
2138: }
2139: uxl /= rl;
2140: uxr /= rr;
2141: utl /= rl;
2142: utr /= rr;
2143: ubl /= rl;
2144: ubr /= rr;
2146: gaml = *gamma;
2147: gamr = *gamma;
2148: /* Computing 2nd power */
2149: d__1 = uxl;
2150: /* Computing 2nd power */
2151: d__2 = utl;
2152: /* Computing 2nd power */
2153: d__3 = ubl;
2154: pl = (*gamma - 1.) * (ul[*ndim + 1] - rl * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2155: /* Computing 2nd power */
2156: d__1 = uxr;
2157: /* Computing 2nd power */
2158: d__2 = utr;
2159: /* Computing 2nd power */
2160: d__3 = ubr;
2161: pr = (*gamma - 1.) * (ur[*ndim + 1] - rr * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2162: rho1l = rl;
2163: rho1r = rr;
2165: iwave = riemannsolver(&xcen, &xp, &dtt, &rl, &uxl, &pl, &utl, &ubl, &gaml, &rho1l, &rr, &uxr, &pr, &utr, &ubr, &gamr, &rho1r, &rhom, &unm, &pm, &utm, &ubm, &gamm, &rho1m);
2167: flux[0] = rhom * unm;
2168: fn = rhom * unm * unm + pm;
2169: ft = rhom * unm * utm;
2170: /* flux(2)=fn*nn(1)+ft*nn(2) */
2171: /* flux(3)=fn*tg(1)+ft*tg(2) */
2172: flux[1] = fn * nn[0] + ft * tg[0];
2173: flux[2] = fn * nn[1] + ft * tg[1];
2174: /* flux(2)=rhom*unm*(unm)+pm */
2175: /* flux(3)=rhom*(unm)*utm */
2176: if (*ndim == 3) flux[3] = rhom * unm * ubm;
2177: flux[*ndim + 1] = (rhom * .5 * (unm * unm + utm * utm + ubm * ubm) + gamm / (gamm - 1.) * pm) * unm;
2178: return iwave;
2179: } /* godunovflux_ */
2181: /* Subroutine to set up the initial conditions for the */
2182: /* Shock Interface interaction or linear wave (Ravi Samtaney,Mark Adams). */
2183: /* ----------------------------------------------------------------------- */
2184: int projecteqstate(PetscReal wc[], const PetscReal ueq[], PetscReal lv[][3])
2185: {
2186: int j, k;
2187: /* Wc=matmul(lv,Ueq) 3 vars */
2188: for (k = 0; k < 3; ++k) {
2189: wc[k] = 0.;
2190: for (j = 0; j < 3; ++j) wc[k] += lv[k][j] * ueq[j];
2191: }
2192: return 0;
2193: }
2194: /* ----------------------------------------------------------------------- */
2195: int projecttoprim(PetscReal v[], const PetscReal wc[], PetscReal rv[][3])
2196: {
2197: int k, j;
2198: /* V=matmul(rv,WC) 3 vars */
2199: for (k = 0; k < 3; ++k) {
2200: v[k] = 0.;
2201: for (j = 0; j < 3; ++j) v[k] += rv[k][j] * wc[j];
2202: }
2203: return 0;
2204: }
2205: /* ---------------------------------------------------------------------- */
2206: int eigenvectors(PetscReal rv[][3], PetscReal lv[][3], const PetscReal ueq[], PetscReal gamma)
2207: {
2208: int j, k;
2209: PetscReal rho, csnd, p0;
2210: /* PetscScalar u; */
2212: for (k = 0; k < 3; ++k)
2213: for (j = 0; j < 3; ++j) {
2214: lv[k][j] = 0.;
2215: rv[k][j] = 0.;
2216: }
2217: rho = ueq[0];
2218: /* u = ueq[1]; */
2219: p0 = ueq[2];
2220: csnd = PetscSqrtReal(gamma * p0 / rho);
2221: lv[0][1] = rho * .5;
2222: lv[0][2] = -.5 / csnd;
2223: lv[1][0] = csnd;
2224: lv[1][2] = -1. / csnd;
2225: lv[2][1] = rho * .5;
2226: lv[2][2] = .5 / csnd;
2227: rv[0][0] = -1. / csnd;
2228: rv[1][0] = 1. / rho;
2229: rv[2][0] = -csnd;
2230: rv[0][1] = 1. / csnd;
2231: rv[0][2] = 1. / csnd;
2232: rv[1][2] = 1. / rho;
2233: rv[2][2] = csnd;
2234: return 0;
2235: }
2237: int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx)
2238: {
2239: PetscReal p0, u0, wcp[3], wc[3];
2240: PetscReal lv[3][3];
2241: PetscReal vp[3];
2242: PetscReal rv[3][3];
2243: PetscReal eps, ueq[3], rho0, twopi;
2245: /* Function Body */
2246: twopi = 2. * PETSC_PI;
2247: eps = 1e-4; /* perturbation */
2248: rho0 = 1e3; /* density of water */
2249: p0 = 101325.; /* init pressure of 1 atm (?) */
2250: u0 = 0.;
2251: ueq[0] = rho0;
2252: ueq[1] = u0;
2253: ueq[2] = p0;
2254: /* Project initial state to characteristic variables */
2255: eigenvectors(rv, lv, ueq, gamma);
2256: projecteqstate(wc, ueq, lv);
2257: wcp[0] = wc[0];
2258: wcp[1] = wc[1];
2259: wcp[2] = wc[2] + eps * PetscCosReal(coord[0] * 2. * twopi / Lx);
2260: projecttoprim(vp, wcp, rv);
2261: ux->r = vp[0]; /* density */
2262: ux->ru[0] = vp[0] * vp[1]; /* x momentum */
2263: ux->ru[1] = 0.;
2264: #if defined DIM > 2
2265: if (dim > 2) ux->ru[2] = 0.;
2266: #endif
2267: /* E = rho * e + rho * v^2/2 = p/(gam-1) + rho*v^2/2 */
2268: ux->E = vp[2] / (gamma - 1.) + 0.5 * vp[0] * vp[1] * vp[1];
2269: return 0;
2270: }
2272: /*TEST
2274: testset:
2275: args: -dm_plex_adj_cone -dm_plex_adj_closure 0
2277: test:
2278: suffix: adv_2d_tri_0
2279: requires: triangle
2280: TODO: how did this ever get in main when there is no support for this
2281: args: -ufv_vtk_interval 0 -simplex -dm_refine 3 -dm_plex_faces 1,1 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2283: test:
2284: suffix: adv_2d_tri_1
2285: requires: triangle
2286: TODO: how did this ever get in main when there is no support for this
2287: args: -ufv_vtk_interval 0 -simplex -dm_refine 5 -dm_plex_faces 1,1 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2289: test:
2290: suffix: tut_1
2291: requires: exodusii
2292: nsize: 1
2293: args: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2295: test:
2296: suffix: tut_2
2297: requires: exodusii
2298: nsize: 1
2299: args: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw
2301: test:
2302: suffix: tut_3
2303: requires: exodusii
2304: nsize: 4
2305: args: -dm_distribute_overlap 1 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -monitor Error -advect_sol_type bump -petscfv_type leastsquares -petsclimiter_type sin
2307: test:
2308: suffix: tut_4
2309: requires: exodusii
2310: nsize: 4
2311: args: -dm_distribute_overlap 1 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -physics sw -monitor Height,Energy -petscfv_type leastsquares -petsclimiter_type minmod
2313: testset:
2314: args: -dm_plex_adj_cone -dm_plex_adj_closure 0 -dm_plex_simplex 0 -dm_plex_box_faces 1,1,1
2316: # 2D Advection 0-10
2317: test:
2318: suffix: 0
2319: requires: exodusii
2320: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2322: test:
2323: suffix: 1
2324: requires: exodusii
2325: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2327: test:
2328: suffix: 2
2329: requires: exodusii
2330: nsize: 2
2331: args: -dm_distribute_overlap 1 -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2333: test:
2334: suffix: 3
2335: requires: exodusii
2336: nsize: 2
2337: args: -dm_distribute_overlap 1 -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2339: test:
2340: suffix: 4
2341: requires: exodusii
2342: nsize: 8
2343: args: -dm_distribute_overlap 1 -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2345: test:
2346: suffix: 5
2347: requires: exodusii
2348: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw -ts_adapt_reject_safety 1
2350: test:
2351: suffix: 7
2352: requires: exodusii
2353: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2355: test:
2356: suffix: 8
2357: requires: exodusii
2358: nsize: 2
2359: args: -dm_distribute_overlap 1 -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2361: test:
2362: suffix: 9
2363: requires: exodusii
2364: nsize: 8
2365: args: -dm_distribute_overlap 1 -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2367: test:
2368: suffix: 10
2369: requires: exodusii
2370: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2372: # 2D Shallow water
2373: testset:
2374: args: -physics sw -ufv_vtk_interval 0 -dm_plex_adj_cone -dm_plex_adj_closure 0
2376: test:
2377: suffix: sw_0
2378: requires: exodusii
2379: args: -bc_wall 100,101 -ufv_cfl 5 -petscfv_type leastsquares -petsclimiter_type sin \
2380: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo \
2381: -ts_max_time 1 -ts_ssp_type rks2 -ts_ssp_nstages 10 \
2382: -monitor height,energy
2384: test:
2385: suffix: sw_1
2386: nsize: 2
2387: args: -bc_wall 1,3 -ufv_cfl 5 -petsclimiter_type sin \
2388: -dm_plex_shape annulus -dm_plex_simplex 0 -dm_plex_box_faces 24,12 -dm_plex_box_lower 0,1 -dm_plex_box_upper 1,3 -dm_distribute_overlap 1 \
2389: -ts_max_time 1 -ts_ssp_type rks2 -ts_ssp_nstages 10 \
2390: -monitor height,energy
2392: test:
2393: suffix: sw_hll
2394: args: -sw_riemann hll -bc_wall 1,2,3,4 -ufv_cfl 3 -petscfv_type leastsquares -petsclimiter_type sin \
2395: -grid_bounds 0,5,0,5 -dm_plex_simplex 0 -dm_plex_box_faces 25,25 \
2396: -ts_max_steps 5 -ts_ssp_type rks2 -ts_ssp_nstages 10 \
2397: -monitor height,energy
2399: testset:
2400: args: -dm_plex_adj_cone -dm_plex_adj_closure 0 -dm_plex_simplex 0 -dm_plex_box_faces 1,1,1
2402: # 2D Advection: p4est
2403: test:
2404: suffix: p4est_advec_2d
2405: requires: p4est
2406: args: -ufv_vtk_interval 0 -dm_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 2 -dm_p4est_refine_pattern hash -dm_forest_maximum_refinement 5
2408: # Advection in a box
2409: test:
2410: suffix: adv_2d_quad_0
2411: args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2413: test:
2414: suffix: adv_2d_quad_1
2415: args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2416: timeoutfactor: 3
2418: test:
2419: suffix: adv_2d_quad_p4est_0
2420: requires: p4est
2421: args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2423: test:
2424: suffix: adv_2d_quad_p4est_1
2425: requires: p4est
2426: args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2427: timeoutfactor: 3
2429: test:
2430: suffix: adv_2d_quad_p4est_adapt_0
2431: requires: p4est !__float128 #broken for quad precision
2432: args: -ufv_vtk_interval 0 -dm_refine 3 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1 -ufv_use_amr -refine_vec_tagger_box 0.005,inf -coarsen_vec_tagger_box 0,1.e-5 -petscfv_type leastsquares -ts_max_time 0.01
2433: timeoutfactor: 3
2435: test:
2436: suffix: adv_0
2437: requires: exodusii
2438: args: -ufv_vtk_interval 0 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/blockcylinder-50.exo -bc_inflow 100,101,200 -bc_outflow 201
2440: test:
2441: suffix: shock_0
2442: requires: p4est !single !complex
2443: args: -dm_plex_box_faces 2,1 -grid_bounds -1,1.,0.,1 -grid_skew_60 \
2444: -dm_type p4est -dm_forest_partition_overlap 1 -dm_forest_maximum_refinement 6 -dm_forest_minimum_refinement 2 -dm_forest_initial_refinement 2 \
2445: -ufv_use_amr -refine_vec_tagger_box 0.5,inf -coarsen_vec_tagger_box 0,1.e-2 -refine_tag_view -coarsen_tag_view \
2446: -bc_wall 1,2,3,4 -physics euler -eu_type iv_shock -ufv_cfl 10 -eu_alpha 60. -eu_gamma 1.4 -eu_amach 2.02 -eu_rho2 3. \
2447: -petscfv_type leastsquares -petsclimiter_type minmod -petscfv_compute_gradients 0 \
2448: -ts_max_time 0.5 -ts_ssp_type rks2 -ts_ssp_nstages 10 \
2449: -ufv_vtk_basename ${wPETSC_DIR}/ex11 -ufv_vtk_interval 0 -monitor density,energy
2450: timeoutfactor: 3
2452: # Test GLVis visualization of PetscFV fields
2453: test:
2454: suffix: glvis_adv_2d_tet
2455: args: -ufv_vtk_interval 0 -ufv_vtk_monitor 0 \
2456: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_gmsh_periodic 0 \
2457: -ts_monitor_solution glvis: -ts_max_steps 0
2459: test:
2460: suffix: glvis_adv_2d_quad
2461: args: -ufv_vtk_interval 0 -ufv_vtk_monitor 0 -bc_inflow 1,2,4 -bc_outflow 3 \
2462: -dm_refine 5 -dm_plex_separate_marker \
2463: -ts_monitor_solution glvis: -ts_max_steps 0
2465: TEST*/