Actual source code: ex19.c petsc-3.10.5 2019-03-28
2: static char help[] = "Nonlinear driven cavity with multigrid in 2d.\n \
3: \n\
4: The 2D driven cavity problem is solved in a velocity-vorticity formulation.\n\
5: The flow can be driven with the lid or with bouyancy or both:\n\
6: -lidvelocity <lid>, where <lid> = dimensionless velocity of lid\n\
7: -grashof <gr>, where <gr> = dimensionless temperature gradent\n\
8: -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio\n\
9: -contours : draw contour plots of solution\n\n" ;
10: /* in HTML, '<' = '<' and '>' = '>' */
12: /*
13: See src/ksp/ksp/examples/tutorials/ex45.c
14: */
16: /*T
17: Concepts: SNES ^solving a system of nonlinear equations (parallel multicomponent example);
18: Concepts: DMDA ^using distributed arrays;
19: Concepts: multicomponent
20: Processors: n
21: T*/
60: /*
61: Include "petscdmda.h" so that we can use distributed arrays (DMDAs).
62: Include "petscsnes.h" so that we can use SNES solvers. Note that this
63: file automatically includes:
64: petscsys.h - base PETSc routines petscvec.h - vectors
65: petscmat.h - matrices
66: petscis.h - index sets petscksp.h - Krylov subspace methods
67: petscviewer.h - viewers petscpc.h - preconditioners
68: petscksp.h - linear solvers
69: */
70: #if defined(PETSC_APPLE_FRAMEWORK)
71: #import <PETSc/petscsnes.h>
72: #import <PETSc/petscdmda.h>
73: #else
74: #include <petscsnes.h>
75: #include <petscdm.h>
76: #include <petscdmda.h>
77: #endif
79: /*
80: User-defined routines and data structures
81: */
82: typedef struct {
83: PetscScalar u,v,omega,temp;
84: } Field;
86: PetscErrorCode FormFunctionLocal(DMDALocalInfo *,Field**,Field**,void*) 88: typedef struct {
89: PetscReal lidvelocity,prandtl,grashof; /* physical parameters */
90: PetscBool draw_contours; /* flag - 1 indicates drawing contours */
91: } AppCtx;
93: extern PetscErrorCode FormInitialGuess(AppCtx*,DM ,Vec ) 94: extern PetscErrorCode NonlinearGS(SNES ,Vec ,Vec ,void*) 96: 97: {
98: AppCtx user; /* user-defined work context */
99: PetscInt mx,my,its;
101: MPI_Comm comm;
102: SNES snes;
103: DM da;
104: Vec x;
106: PetscInitialize (&argc,&argv,(char*)0,help);if (ierr) return (1);
109: comm = PETSC_COMM_WORLD ;
110: SNESCreate (comm,&snes);
112: /*
113: Create distributed array object to manage parallel grid and vectors
114: for principal unknowns (x) and governing residuals (f)
115: */
116: DMDACreate2d (PETSC_COMM_WORLD ,DM_BOUNDARY_NONE ,DM_BOUNDARY_NONE ,DMDA_STENCIL_STAR ,4,4,PETSC_DECIDE ,PETSC_DECIDE ,4,1,0,0,&da);
117: DMSetFromOptions (da);
118: DMSetUp (da);
119: SNESSetDM (snes,(DM )da);
120: SNESSetNGS (snes, NonlinearGS, (void*)&user);
122: DMDAGetInfo (da,0,&mx,&my,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE ,PETSC_IGNORE );
123: /*
124: Problem parameters (velocity of lid, prandtl, and grashof numbers)
125: */
126: user.lidvelocity = 1.0/(mx*my);
127: user.prandtl = 1.0;
128: user.grashof = 1.0;
130: PetscOptionsGetReal (NULL,NULL,"-lidvelocity" ,&user.lidvelocity,NULL);
131: PetscOptionsGetReal (NULL,NULL,"-prandtl" ,&user.prandtl,NULL);
132: PetscOptionsGetReal (NULL,NULL,"-grashof" ,&user.grashof,NULL);
133: PetscOptionsHasName (NULL,NULL,"-contours" ,&user.draw_contours);
135: DMDASetFieldName (da,0,"x_velocity" );
136: DMDASetFieldName (da,1,"y_velocity" );
137: DMDASetFieldName (da,2,"Omega" );
138: DMDASetFieldName (da,3,"temperature" );
140: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
141: Create user context, set problem data, create vector data structures.
142: Also, compute the initial guess.
143: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
145: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
146: Create nonlinear solver context
148: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
149: DMSetApplicationContext (da,&user);
150: DMDASNESSetFunctionLocal (da,INSERT_VALUES ,(PetscErrorCode (*)(DMDALocalInfo *,void*,void*,void*))FormFunctionLocal,&user);
151: SNESSetFromOptions (snes);
152: PetscPrintf (comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n" ,(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof);
155: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
156: Solve the nonlinear system
157: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
158: DMCreateGlobalVector (da,&x);
159: FormInitialGuess(&user,da,x);
161: SNESSolve (snes,NULL,x);
163: SNESGetIterationNumber (snes,&its);
164: PetscPrintf (comm,"Number of SNES iterations = %D\n" , its);
166: /*
167: Visualize solution
168: */
169: if (user.draw_contours) {
170: VecView (x,PETSC_VIEWER_DRAW_WORLD );
171: }
173: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
174: Free work space. All PETSc objects should be destroyed when they
175: are no longer needed.
176: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
177: VecDestroy (&x);
178: DMDestroy (&da);
179: SNESDestroy (&snes);
180: PetscFinalize ();
181: return ierr;
182: }
184: /* ------------------------------------------------------------------- */
186: /*
187: FormInitialGuess - Forms initial approximation.
189: Input Parameters:
190: user - user-defined application context
191: X - vector
193: Output Parameter:
194: X - vector
195: */
196: PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X)197: {
198: PetscInt i,j,mx,xs,ys,xm,ym;
200: PetscReal grashof,dx;
201: Field **x;
204: grashof = user->grashof;
206: DMDAGetInfo (da,0,&mx,0,0,0,0,0,0,0,0,0,0,0);
207: dx = 1.0/(mx-1);
209: /*
210: Get local grid boundaries (for 2-dimensional DMDA ):
211: xs, ys - starting grid indices (no ghost points)
212: xm, ym - widths of local grid (no ghost points)
213: */
214: DMDAGetCorners (da,&xs,&ys,NULL,&xm,&ym,NULL);
216: /*
217: Get a pointer to vector data.
218: - For default PETSc vectors, VecGetArray () returns a pointer to
219: the data array. Otherwise, the routine is implementation dependent.
220: - You MUST call VecRestoreArray () when you no longer need access to
221: the array.
222: */
223: DMDAVecGetArray (da,X,&x);
225: /*
226: Compute initial guess over the locally owned part of the grid
227: Initial condition is motionless fluid and equilibrium temperature
228: */
229: for (j=ys; j<ys+ym; j++) {
230: for (i=xs; i<xs+xm; i++) {
231: x[j][i].u = 0.0;
232: x[j][i].v = 0.0;
233: x[j][i].omega = 0.0;
234: x[j][i].temp = (grashof>0)*i*dx;
235: }
236: }
238: /*
239: Restore vector
240: */
241: DMDAVecRestoreArray (da,X,&x);
242: return (0);
243: }
245: PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr)246: {
247: AppCtx *user = (AppCtx*)ptr;
249: PetscInt xints,xinte,yints,yinte,i,j;
250: PetscReal hx,hy,dhx,dhy,hxdhy,hydhx;
251: PetscReal grashof,prandtl,lid;
252: PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym;
255: grashof = user->grashof;
256: prandtl = user->prandtl;
257: lid = user->lidvelocity;
259: /*
260: Define mesh intervals ratios for uniform grid.
262: Note: FD formulae below are normalized by multiplying through by
263: local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions.
266: */
267: dhx = (PetscReal )(info->mx-1); dhy = (PetscReal )(info->my-1);
268: hx = 1.0/dhx; hy = 1.0/dhy;
269: hxdhy = hx*dhy; hydhx = hy*dhx;
271: xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym;
273: /* Test whether we are on the bottom edge of the global array */
274: if (yints == 0) {
275: j = 0;
276: yints = yints + 1;
277: /* bottom edge */
278: for (i=info->xs; i<info->xs+info->xm; i++) {
279: f[j][i].u = x[j][i].u;
280: f[j][i].v = x[j][i].v;
281: f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy;
282: f[j][i].temp = x[j][i].temp-x[j+1][i].temp;
283: }
284: }
286: /* Test whether we are on the top edge of the global array */
287: if (yinte == info->my) {
288: j = info->my - 1;
289: yinte = yinte - 1;
290: /* top edge */
291: for (i=info->xs; i<info->xs+info->xm; i++) {
292: f[j][i].u = x[j][i].u - lid;
293: f[j][i].v = x[j][i].v;
294: f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy;
295: f[j][i].temp = x[j][i].temp-x[j-1][i].temp;
296: }
297: }
299: /* Test whether we are on the left edge of the global array */
300: if (xints == 0) {
301: i = 0;
302: xints = xints + 1;
303: /* left edge */
304: for (j=info->ys; j<info->ys+info->ym; j++) {
305: f[j][i].u = x[j][i].u;
306: f[j][i].v = x[j][i].v;
307: f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx;
308: f[j][i].temp = x[j][i].temp;
309: }
310: }
312: /* Test whether we are on the right edge of the global array */
313: if (xinte == info->mx) {
314: i = info->mx - 1;
315: xinte = xinte - 1;
316: /* right edge */
317: for (j=info->ys; j<info->ys+info->ym; j++) {
318: f[j][i].u = x[j][i].u;
319: f[j][i].v = x[j][i].v;
320: f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx;
321: f[j][i].temp = x[j][i].temp - (PetscReal )(grashof>0);
322: }
323: }
325: /* Compute over the interior points */
326: for (j=yints; j<yinte; j++) {
327: for (i=xints; i<xinte; i++) {
329: /*
330: convective coefficients for upwinding
331: */
332: vx = x[j][i].u; avx = PetscAbsScalar(vx);
333: vxp = .5*(vx+avx); vxm = .5*(vx-avx);
334: vy = x[j][i].v; avy = PetscAbsScalar(vy);
335: vyp = .5*(vy+avy); vym = .5*(vy-avy);
337: /* U velocity */
338: u = x[j][i].u;
339: uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx;
340: uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy;
341: f[j][i].u = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx;
343: /* V velocity */
344: u = x[j][i].v;
345: uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx;
346: uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy;
347: f[j][i].v = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy;
349: /* Omega */
350: u = x[j][i].omega;
351: uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx;
352: uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy;
353: f[j][i].omega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy +
354: (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx -
355: .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy;
357: /* Temperature */
358: u = x[j][i].temp;
359: uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx;
360: uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy;
361: f[j][i].temp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy +
362: (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx);
363: }
364: }
366: /*
367: Flop count (multiply-adds are counted as 2 operations)
368: */
369: PetscLogFlops (84.0*info->ym*info->xm);
370: return (0);
371: }
373: PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx)374: {
375: DMDALocalInfo info;
376: Field **x,**b;
378: Vec localX, localB;
379: DM da;
380: PetscInt xints,xinte,yints,yinte,i,j,k,l;
381: PetscInt max_its,tot_its;
382: PetscInt sweeps;
383: PetscReal rtol,atol,stol;
384: PetscReal hx,hy,dhx,dhy,hxdhy,hydhx;
385: PetscReal grashof,prandtl,lid;
386: PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym;
387: PetscScalar fu, fv, fomega, ftemp;
388: PetscScalar dfudu;
389: PetscScalar dfvdv;
390: PetscScalar dfodu, dfodv, dfodo;
391: PetscScalar dftdu, dftdv, dftdt;
392: PetscScalar yu=0, yv=0, yo=0, yt=0;
393: PetscScalar bjiu, bjiv, bjiomega, bjitemp;
394: PetscBool ptconverged;
395: PetscReal pfnorm,pfnorm0,pynorm,pxnorm;
396: AppCtx *user = (AppCtx*)ctx;
399: grashof = user->grashof;
400: prandtl = user->prandtl;
401: lid = user->lidvelocity;
402: tot_its = 0;
403: SNESNGSGetTolerances (snes,&rtol,&atol,&stol,&max_its);
404: SNESNGSGetSweeps (snes,&sweeps);
405: SNESGetDM (snes,(DM *)&da);
406: DMGetLocalVector (da,&localX);
407: if (B) {
408: DMGetLocalVector (da,&localB);
409: }
410: /*
411: Scatter ghost points to local vector, using the 2-step process
412: DMGlobalToLocalBegin (), DMGlobalToLocalEnd ().
413: */
414: DMGlobalToLocalBegin (da,X,INSERT_VALUES ,localX);
415: DMGlobalToLocalEnd (da,X,INSERT_VALUES ,localX);
416: if (B) {
417: DMGlobalToLocalBegin (da,B,INSERT_VALUES ,localB);
418: DMGlobalToLocalEnd (da,B,INSERT_VALUES ,localB);
419: }
420: DMDAGetLocalInfo (da,&info);
421: DMDAVecGetArray (da,localX,&x);
422: if (B) {
423: DMDAVecGetArrayRead (da,localB,&b);
424: }
425: /* looks like a combination of the formfunction / formjacobian routines */
426: dhx = (PetscReal )(info.mx-1);dhy = (PetscReal )(info.my-1);
427: hx = 1.0/dhx; hy = 1.0/dhy;
428: hxdhy = hx*dhy; hydhx = hy*dhx;
430: xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym;
432: /* Set the boundary conditions on the momentum equations */
433: /* Test whether we are on the bottom edge of the global array */
434: if (yints == 0) {
435: j = 0;
436: /* bottom edge */
437: for (i=info.xs; i<info.xs+info.xm; i++) {
439: if (B) {
440: bjiu = b[j][i].u;
441: bjiv = b[j][i].v;
442: } else {
443: bjiu = 0.0;
444: bjiv = 0.0;
445: }
446: x[j][i].u = 0.0 + bjiu;
447: x[j][i].v = 0.0 + bjiv;
448: }
449: }
451: /* Test whether we are on the top edge of the global array */
452: if (yinte == info.my) {
453: j = info.my - 1;
454: /* top edge */
455: for (i=info.xs; i<info.xs+info.xm; i++) {
456: if (B) {
457: bjiu = b[j][i].u;
458: bjiv = b[j][i].v;
459: } else {
460: bjiu = 0.0;
461: bjiv = 0.0;
462: }
463: x[j][i].u = lid + bjiu;
464: x[j][i].v = bjiv;
465: }
466: }
468: /* Test whether we are on the left edge of the global array */
469: if (xints == 0) {
470: i = 0;
471: /* left edge */
472: for (j=info.ys; j<info.ys+info.ym; j++) {
473: if (B) {
474: bjiu = b[j][i].u;
475: bjiv = b[j][i].v;
476: } else {
477: bjiu = 0.0;
478: bjiv = 0.0;
479: }
480: x[j][i].u = 0.0 + bjiu;
481: x[j][i].v = 0.0 + bjiv;
482: }
483: }
485: /* Test whether we are on the right edge of the global array */
486: if (xinte == info.mx) {
487: i = info.mx - 1;
488: /* right edge */
489: for (j=info.ys; j<info.ys+info.ym; j++) {
490: if (B) {
491: bjiu = b[j][i].u;
492: bjiv = b[j][i].v;
493: } else {
494: bjiu = 0.0;
495: bjiv = 0.0;
496: }
497: x[j][i].u = 0.0 + bjiu;
498: x[j][i].v = 0.0 + bjiv;
499: }
500: }
502: for (k=0; k < sweeps; k++) {
503: for (j=info.ys; j<info.ys + info.ym; j++) {
504: for (i=info.xs; i<info.xs + info.xm; i++) {
505: ptconverged = PETSC_FALSE ;
506: pfnorm0 = 0.0;
507: fu = 0.0;
508: fv = 0.0;
509: fomega = 0.0;
510: ftemp = 0.0;
511: for (l = 0; l < max_its && !ptconverged; l++) {
512: if (B) {
513: bjiu = b[j][i].u;
514: bjiv = b[j][i].v;
515: bjiomega = b[j][i].omega;
516: bjitemp = b[j][i].temp;
517: } else {
518: bjiu = 0.0;
519: bjiv = 0.0;
520: bjiomega = 0.0;
521: bjitemp = 0.0;
522: }
524: if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) {
525: /* U velocity */
526: u = x[j][i].u;
527: uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx;
528: uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy;
529: fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu;
530: dfudu = 2.0*(hydhx + hxdhy);
531: /* V velocity */
532: u = x[j][i].v;
533: uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx;
534: uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy;
535: fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv;
536: dfvdv = 2.0*(hydhx + hxdhy);
537: /*
538: convective coefficients for upwinding
539: */
540: vx = x[j][i].u; avx = PetscAbsScalar(vx);
541: vxp = .5*(vx+avx); vxm = .5*(vx-avx);
542: vy = x[j][i].v; avy = PetscAbsScalar(vy);
543: vyp = .5*(vy+avy); vym = .5*(vy-avy);
544: /* Omega */
545: u = x[j][i].omega;
546: uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx;
547: uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy;
548: fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy +
549: (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx -
550: .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega;
551: /* convective coefficient derivatives */
552: dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx);
553: if (PetscRealPart (vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy;
554: else dfodu = (x[j][i+1].omega - u)*hy;
556: if (PetscRealPart (vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx;
557: else dfodv = (x[j+1][i].omega - u)*hx;
559: /* Temperature */
560: u = x[j][i].temp;
561: uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx;
562: uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy;
563: ftemp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy + (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx) - bjitemp;
564: dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx);
565: if (PetscRealPart (vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy;
566: else dftdu = prandtl*(x[j][i+1].temp - u)*hy;
568: if (PetscRealPart (vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx;
569: else dftdv = prandtl*(x[j+1][i].temp - u)*hx;
571: /* invert the system:
572: [ dfu / du 0 0 0 ][yu] = [fu]
573: [ 0 dfv / dv 0 0 ][yv] [fv]
574: [ dfo / du dfo / dv dfo / do 0 ][yo] [fo]
575: [ dft / du dft / dv 0 dft / dt ][yt] [ft]
576: by simple back-substitution
577: */
578: yu = fu / dfudu;
579: yv = fv / dfvdv;
580: yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo;
581: yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt;
583: x[j][i].u = x[j][i].u - yu;
584: x[j][i].v = x[j][i].v - yv;
585: x[j][i].temp = x[j][i].temp - yt;
586: x[j][i].omega = x[j][i].omega - yo;
587: }
588: if (i == 0) {
589: fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega;
590: ftemp = x[j][i].temp - bjitemp;
591: yo = fomega;
592: yt = ftemp;
593: x[j][i].omega = x[j][i].omega - fomega;
594: x[j][i].temp = x[j][i].temp - ftemp;
595: }
596: if (i == info.mx - 1) {
597: fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega;
598: ftemp = x[j][i].temp - (PetscReal )(grashof>0) - bjitemp;
599: yo = fomega;
600: yt = ftemp;
601: x[j][i].omega = x[j][i].omega - fomega;
602: x[j][i].temp = x[j][i].temp - ftemp;
603: }
604: if (j == 0) {
605: fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega;
606: ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp;
607: yo = fomega;
608: yt = ftemp;
609: x[j][i].omega = x[j][i].omega - fomega;
610: x[j][i].temp = x[j][i].temp - ftemp;
611: }
612: if (j == info.my - 1) {
613: fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega;
614: ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp;
615: yo = fomega;
616: yt = ftemp;
617: x[j][i].omega = x[j][i].omega - fomega;
618: x[j][i].temp = x[j][i].temp - ftemp;
619: }
620: tot_its++;
621: pfnorm = PetscRealPart (fu*fu + fv*fv + fomega*fomega + ftemp*ftemp);
622: pfnorm = PetscSqrtReal(pfnorm);
623: pynorm = PetscRealPart (yu*yu + yv*yv + yo*yo + yt*yt);
624: pynorm = PetscSqrtReal(pynorm);
625: pxnorm = PetscRealPart (x[j][i].u*x[j][i].u + x[j][i].v*x[j][i].v + x[j][i].omega*x[j][i].omega + x[j][i].temp*x[j][i].temp);
626: pxnorm = PetscSqrtReal(pxnorm);
627: if (l == 0) pfnorm0 = pfnorm;
628: if (rtol*pfnorm0 >pfnorm ||
629: atol > pfnorm ||
630: pxnorm*stol > pynorm) ptconverged = PETSC_TRUE ;
631: }
632: }
633: }
634: }
635: DMDAVecRestoreArray (da,localX,&x);
636: if (B) {
637: DMDAVecRestoreArrayRead (da,localB,&b);
638: }
639: DMLocalToGlobalBegin (da,localX,INSERT_VALUES ,X);
640: DMLocalToGlobalEnd (da,localX,INSERT_VALUES ,X);
641: PetscLogFlops (tot_its*(84.0 + 41.0 + 26.0));
642: DMRestoreLocalVector (da,&localX);
643: if (B) {
644: DMRestoreLocalVector (da,&localB);
645: }
646: return (0);
647: }
650: /*TEST
652: test:
653: nsize: 2
654: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full
655: requires: !single
657: test:
658: suffix: 10
659: nsize: 3
660: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres
661: requires: !single
663: test:
664: suffix: 11
665: nsize: 4
666: requires: pastix
667: args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 2 -da_refine 4 -ksp_type fgmres
669: test:
670: suffix: 12
671: nsize: 12
672: requires: pastix
673: args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 5 -da_refine 4 -ksp_type fgmres
675: test:
676: suffix: 13
677: nsize: 3
678: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres -snes_mf_operator
679: requires: !single
681: test:
682: suffix: 14
683: nsize: 4
684: args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres
685: requires: !single
687: test:
688: suffix: 14_ds
689: nsize: 4
690: args: -snes_converged_reason -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres -mat_fd_type ds
691: output_file: output/ex19_2.out
692: requires: !single
694: test:
695: suffix: 17
696: args: -snes_monitor_short -ksp_pc_side right
697: requires: !single
699: test:
700: suffix: 18
701: args: -ksp_monitor_snes_lg -ksp_pc_side right
702: requires: x !single
704: test:
705: suffix: 2
706: nsize: 4
707: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds
708: requires: !single
710: test:
711: suffix: 2_bcols1
712: nsize: 4
713: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1> ex19_1.tmp 2>&1
714: output_file: output/ex19_2.out
715: requires: !single
717: test:
718: suffix: 3
719: nsize: 4
720: requires: mumps
721: args: -da_refine 3 -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_ksp_type preonly -redundant_pc_factor_mat_solver_type mumps -pc_redundant_number 2
723: test:
724: suffix: 4
725: nsize: 12
726: requires: mumps
727: args: -da_refine 3 -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_ksp_type preonly -redundant_pc_factor_mat_solver_type mumps -pc_redundant_number 5
728: output_file: output/ex19_3.out
730: test:
731: suffix: 6
732: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1
733: requires: !single
735: test:
736: suffix: 7
737: nsize: 3
738: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres
740: requires: !single
741: test:
742: suffix: 8
743: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_block_size 2 -pc_fieldsplit_0_fields 0,1 -pc_fieldsplit_1_fields 0,1 -pc_fieldsplit_type multiplicative -snes_view -fieldsplit_pc_type lu -da_refine 1 -ksp_type fgmres
744: requires: !single
746: test:
747: suffix: 9
748: nsize: 3
749: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres
750: requires: !single
752: test:
753: suffix: aspin
754: nsize: 4
755: args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short
756: requires: !single
758: test:
759: suffix: bcgsl
760: nsize: 2
761: args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view
762: requires: !single
764: test:
765: suffix: bcols1
766: nsize: 2
767: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1
768: output_file: output/ex19_1.out
769: requires: !single
771: test:
772: suffix: bjacobi
773: nsize: 4
774: args: -da_refine 4 -ksp_type fgmres -pc_type bjacobi -pc_bjacobi_blocks 2 -sub_ksp_type gmres -sub_ksp_max_it 2 -sub_pc_type bjacobi -sub_sub_ksp_type preonly -sub_sub_pc_type ilu -snes_monitor_short
775: requires: !single
777: test:
778: suffix: cgne
779: args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned
780: filter: grep -v HERMITIAN
781: requires: !single
783: test:
784: suffix: cgs
785: args: -da_refine 1 -ksp_monitor_short -ksp_type cgs
786: requires: !single
788: test:
789: suffix: composite_fieldsplit
790: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,none -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -snes_monitor_short -ksp_monitor_short
791: requires: !single
793: test:
794: suffix: composite_fieldsplit_bjacobi
795: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,bjacobi -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -sub_1_pc_bjacobi_blocks 16 -sub_1_sub_pc_type lu -snes_monitor_short -ksp_monitor_short
796: requires: !single
798: test:
799: suffix: composite_fieldsplit_bjacobi_2
800: nsize: 4
801: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,bjacobi -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -sub_1_pc_bjacobi_blocks 16 -sub_1_sub_pc_type lu -snes_monitor_short -ksp_monitor_short
802: requires: !single
804: test:
805: suffix: composite_gs_newton
806: nsize: 2
807: args: -da_refine 3 -grashof 4e4 -lidvelocity 100 -snes_monitor_short -snes_type composite -snes_composite_type additiveoptimal -snes_composite_sneses ngs,newtonls -sub_0_snes_max_it 20 -sub_1_pc_type mg
808: requires: !single
810: test:
811: suffix: cuda
812: requires: cuda !single
813: args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5
815: test:
816: suffix: draw
817: args: -pc_type fieldsplit -snes_view draw -fieldsplit_x_velocity_pc_type mg -fieldsplit_x_velocity_pc_mg_galerkin pmat -fieldsplit_x_velocity_pc_mg_levels 2 -da_refine 1 -fieldsplit_x_velocity_mg_coarse_pc_type svd
818: requires: x !single
820: test:
821: suffix: drawports
822: args: -snes_monitor_solution draw::draw_ports -da_refine 1
823: output_file: output/ex19_draw.out
824: requires: x !single
826: test:
827: suffix: fas
828: args: -da_refine 4 -snes_monitor_short -snes_type fas -fas_levels_snes_type ngs -fas_levels_snes_ngs_sweeps 3 -fas_levels_snes_ngs_atol 0.0 -fas_levels_snes_ngs_stol 0.0 -grashof 4e4 -snes_fas_smoothup 6 -snes_fas_smoothdown 6 -lidvelocity 100
829: requires: !single
831: test:
832: suffix: fas_full
833: args: -da_refine 4 -snes_monitor_short -snes_type fas -snes_fas_type full -snes_fas_full_downsweep -fas_levels_snes_type ngs -fas_levels_snes_ngs_sweeps 3 -fas_levels_snes_ngs_atol 0.0 -fas_levels_snes_ngs_stol 0.0 -grashof 4e4 -snes_fas_smoothup 6 -snes_fas_smoothdown 6 -lidvelocity 100
834: requires: !single
836: test:
837: suffix: fdcoloring_ds
838: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds
839: output_file: output/ex19_2.out
840: requires: !single
842: test:
843: suffix: fdcoloring_ds_baij
844: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij
845: output_file: output/ex19_2.out
846: requires: !single
848: test:
849: suffix: fdcoloring_ds_bcols1
850: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1
851: output_file: output/ex19_2.out
852: requires: !single
854: test:
855: suffix: fdcoloring_wp
856: args: -da_refine 3 -snes_monitor_short -pc_type mg
857: requires: !single
859: test:
860: suffix: fdcoloring_wp_baij
861: args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij
862: output_file: output/ex19_fdcoloring_wp.out
863: requires: !single
865: test:
866: suffix: fdcoloring_wp_bcols1
867: args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1
868: output_file: output/ex19_fdcoloring_wp.out
869: requires: !single
871: test:
872: suffix: fieldsplit_2
873: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type additive -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -snes_monitor_short -ksp_monitor_short
874: requires: !single
876: test:
877: suffix: fieldsplit_3
878: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type additive -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short
879: requires: !single
881: test:
882: suffix: fieldsplit_4
883: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short
884: requires: !single
886: test:
887: suffix: fieldsplit_hypre
888: nsize: 2
889: requires: hypre mumps
890: args: -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_0_pc_factor_mat_solver_type mumps -fieldsplit_1_pc_type hypre -fieldsplit_1_pc_hypre_type boomeramg -snes_monitor_short -ksp_monitor_short
892: test:
893: suffix: fieldsplit_mumps
894: nsize: 2
895: requires: mumps
896: args: -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short -fieldsplit_0_pc_factor_mat_solver_type mumps -fieldsplit_1_pc_factor_mat_solver_type mumps
897: output_file: output/ex19_fieldsplit_5.out
899: test:
900: suffix: greedy_coloring
901: nsize: 2
902: args: -da_refine 3 -snes_monitor_short -snes_fd_color -snes_fd_color_use_mat -mat_coloring_type greedy -mat_coloring_weight_type lf -mat_coloring_view> ex19_greedy_coloring.tmp 2>&1
903: requires: !single
905: test:
906: suffix: hypre
907: nsize: 2
908: requires: hypre
909: args: -da_refine 3 -snes_monitor_short -pc_type hypre
911: test:
912: suffix: ibcgs
913: nsize: 2
914: args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view
915: requires: !complex !single
917: test:
918: suffix: kaczmarz
919: nsize: 2
920: args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view
921: requires: !single
923: test:
924: suffix: klu
925: requires: suitesparse
926: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu
927: output_file: output/ex19_superlu.out
929: test:
930: suffix: klu_2
931: requires: suitesparse
932: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_ordering PETSC
933: output_file: output/ex19_superlu.out
935: test:
936: suffix: klu_3
937: requires: suitesparse
938: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0
939: output_file: output/ex19_superlu.out
941: test:
942: suffix: ml
943: nsize: 2
944: requires: ml
945: args: -da_refine 3 -snes_monitor_short -pc_type ml
947: test:
948: suffix: ngmres_fas
949: args: -da_refine 4 -snes_monitor_short -snes_type ngmres -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_ngs_sweeps 3 -npc_fas_levels_snes_ngs_atol 0.0 -npc_fas_levels_snes_ngs_stol 0.0 -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_snes_max_it 1 -npc_snes_fas_smoothup 6 -npc_snes_fas_smoothdown 6 -lidvelocity 100 -grashof 4e4
950: requires: !single
952: test:
953: suffix: ngmres_fas_gssecant
954: args: -da_refine 3 -snes_monitor_short -snes_type ngmres -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_max_it 6 -npc_fas_levels_snes_ngs_secant -npc_fas_levels_snes_ngs_max_it 1 -npc_fas_coarse_snes_max_it 1 -lidvelocity 100 -grashof 4e4
955: requires: !single
957: test:
958: suffix: ngmres_fas_ms
959: nsize: 2
960: args: -snes_grid_sequence 2 -lidvelocity 200 -grashof 1e4 -snes_monitor_short -snes_view -snes_converged_reason -snes_type ngmres -npc_snes_type fas -npc_fas_coarse_snes_type newtonls -npc_fas_coarse_ksp_type preonly -npc_snes_max_it 1
961: requires: !single
963: test:
964: suffix: ngmres_nasm
965: nsize: 4
966: args: -da_refine 4 -da_overlap 2 -snes_monitor_short -snes_type ngmres -snes_max_it 10 -npc_snes_type nasm -npc_snes_nasm_type basic -grashof 4e4 -lidvelocity 100
967: requires: !single
969: test:
970: suffix: ngs
971: args: -ksp_monitor_short -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4
972: requires: !single
974: test:
975: suffix: ngs_fd
976: args: -ksp_monitor_short -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4
977: requires: !single
979: test:
980: suffix: parms
981: nsize: 2
982: requires: parms
983: args: -pc_type parms -ksp_monitor_short -snes_view
985: test:
986: suffix: superlu
987: requires: superlu
988: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu
990: test:
991: suffix: superlu_sell
992: requires: superlu
993: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu -dm_mat_type sell -pc_factor_mat_ordering_type natural
994: output_file: output/ex19_superlu.out
996: test:
997: suffix: superlu_dist
998: requires: superlu_dist
999: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist
1000: output_file: output/ex19_superlu.out
1002: test:
1003: suffix: superlu_dist_2
1004: nsize: 2
1005: requires: superlu_dist
1006: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist
1007: output_file: output/ex19_superlu.out
1009: test:
1010: suffix: superlu_equil
1011: requires: superlu
1012: args: -da_grid_x 20 -da_grid_y 20 -{snes,ksp}_monitor_short -pc_type lu -pc_factor_mat_solver_type superlu -mat_superlu_equil
1014: test:
1015: suffix: superlu_equil_sell
1016: requires: superlu
1017: args: -da_grid_x 20 -da_grid_y 20 -{snes,ksp}_monitor_short -pc_type lu -pc_factor_mat_solver_type superlu -mat_superlu_equil -dm_mat_type sell -pc_factor_mat_ordering_type natural
1018: output_file: output/ex19_superlu_equil.out
1020: test:
1021: suffix: tcqmr
1022: args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr
1023: requires: !single
1025: test:
1026: suffix: tfqmr
1027: args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr
1028: requires: !single
1030: test:
1031: suffix: umfpack
1032: requires: suitesparse
1033: args: -da_refine 2 -pc_type lu -pc_factor_mat_solver_type umfpack -snes_view -snes_monitor_short -ksp_monitor_short
1035: test:
1036: suffix: tut_1
1037: nsize: 4
1038: requires: !single
1039: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view
1041: test:
1042: suffix: tut_2
1043: nsize: 4
1044: requires: !single
1045: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg
1047: test:
1048: suffix: tut_3
1049: nsize: 4
1050: requires: hypre !single
1051: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre
1053: test:
1054: suffix: tut_8
1055: nsize: 4
1056: requires: ml !single
1057: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml
1059: test:
1060: suffix: tut_4
1061: nsize: 1
1062: requires: !single
1063: args: -da_refine 5 -log_view
1064: filter: head -n 2
1065: filter_output: head -n 2
1067: test:
1068: suffix: tut_5
1069: nsize: 1
1070: requires: !single
1071: args: -da_refine 5 -log_view -pc_type mg
1072: filter: head -n 2
1073: filter_output: head -n 2
1075: test:
1076: suffix: tut_6
1077: nsize: 4
1078: requires: !single
1079: args: -da_refine 5 -log_view
1080: filter: head -n 2
1081: filter_output: head -n 2
1083: test:
1084: suffix: tut_7
1085: nsize: 4
1086: requires: !single
1087: args: -da_refine 5 -log_view -pc_type mg
1088: filter: head -n 2
1089: filter_output: head -n 2
1091: TEST*/