1 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 '>' = '>' */ 11 12 /* 13 See src/ksp/ksp/tutorials/ex45.c 14 */ 15 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*/ 22 23 24 /*F----------------------------------------------------------------------- 25 26 We thank David E. Keyes for contributing the driven cavity discretization within this example code. 27 28 This problem is modeled by the partial differential equation system 29 30 \begin{eqnarray} 31 - \triangle U - \nabla_y \Omega & = & 0 \\ 32 - \triangle V + \nabla_x\Omega & = & 0 \\ 33 - \triangle \Omega + \nabla \cdot ([U*\Omega,V*\Omega]) - GR* \nabla_x T & = & 0 \\ 34 - \triangle T + PR* \nabla \cdot ([U*T,V*T]) & = & 0 35 \end{eqnarray} 36 37 in the unit square, which is uniformly discretized in each of x and y in this simple encoding. 38 39 No-slip, rigid-wall Dirichlet conditions are used for $ [U,V]$. 40 Dirichlet conditions are used for Omega, based on the definition of 41 vorticity: $ \Omega = - \nabla_y U + \nabla_x V$, where along each 42 constant coordinate boundary, the tangential derivative is zero. 43 Dirichlet conditions are used for T on the left and right walls, 44 and insulation homogeneous Neumann conditions are used for T on 45 the top and bottom walls. 46 47 A finite difference approximation with the usual 5-point stencil 48 is used to discretize the boundary value problem to obtain a 49 nonlinear system of equations. Upwinding is used for the divergence 50 (convective) terms and central for the gradient (source) terms. 51 52 The Jacobian can be either 53 * formed via finite differencing using coloring (the default), or 54 * applied matrix-free via the option -snes_mf 55 (for larger grid problems this variant may not converge 56 without a preconditioner due to ill-conditioning). 57 58 ------------------------------------------------------------------------F*/ 59 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 78 79 /* 80 User-defined routines and data structures 81 */ 82 typedef struct { 83 PetscScalar u,v,omega,temp; 84 } Field; 85 86 PetscErrorCode FormFunctionLocal(DMDALocalInfo*,Field**,Field**,void*); 87 88 typedef struct { 89 PetscReal lidvelocity,prandtl,grashof; /* physical parameters */ 90 PetscBool draw_contours; /* flag - 1 indicates drawing contours */ 91 } AppCtx; 92 93 extern PetscErrorCode FormInitialGuess(AppCtx*,DM,Vec); 94 extern PetscErrorCode NonlinearGS(SNES,Vec,Vec,void*); 95 96 int main(int argc,char **argv) 97 { 98 AppCtx user; /* user-defined work context */ 99 PetscInt mx,my,its; 100 PetscErrorCode ierr; 101 MPI_Comm comm; 102 SNES snes; 103 DM da; 104 Vec x; 105 106 ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr; 107 108 PetscFunctionBeginUser; 109 comm = PETSC_COMM_WORLD; 110 ierr = SNESCreate(comm,&snes);CHKERRQ(ierr); 111 112 /* 113 Create distributed array object to manage parallel grid and vectors 114 for principal unknowns (x) and governing residuals (f) 115 */ 116 ierr = DMDACreate2d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,4,4,PETSC_DECIDE,PETSC_DECIDE,4,1,0,0,&da);CHKERRQ(ierr); 117 ierr = DMSetFromOptions(da);CHKERRQ(ierr); 118 ierr = DMSetUp(da);CHKERRQ(ierr); 119 ierr = SNESSetDM(snes,(DM)da);CHKERRQ(ierr); 120 ierr = SNESSetNGS(snes, NonlinearGS, (void*)&user);CHKERRQ(ierr); 121 122 ierr = 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);CHKERRQ(ierr); 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; 129 130 ierr = PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL);CHKERRQ(ierr); 131 ierr = PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL);CHKERRQ(ierr); 132 ierr = PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL);CHKERRQ(ierr); 133 ierr = PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours);CHKERRQ(ierr); 134 135 ierr = DMDASetFieldName(da,0,"x_velocity");CHKERRQ(ierr); 136 ierr = DMDASetFieldName(da,1,"y_velocity");CHKERRQ(ierr); 137 ierr = DMDASetFieldName(da,2,"Omega");CHKERRQ(ierr); 138 ierr = DMDASetFieldName(da,3,"temperature");CHKERRQ(ierr); 139 140 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 141 Create user context, set problem data, create vector data structures. 142 Also, compute the initial guess. 143 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 144 145 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 146 Create nonlinear solver context 147 148 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 149 ierr = DMSetApplicationContext(da,&user);CHKERRQ(ierr); 150 ierr = DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user);CHKERRQ(ierr); 151 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 152 ierr = PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof);CHKERRQ(ierr); 153 154 155 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 156 Solve the nonlinear system 157 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 158 ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr); 159 ierr = FormInitialGuess(&user,da,x);CHKERRQ(ierr); 160 161 ierr = SNESSolve(snes,NULL,x);CHKERRQ(ierr); 162 163 ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr); 164 ierr = PetscPrintf(comm,"Number of SNES iterations = %D\n", its);CHKERRQ(ierr); 165 166 /* 167 Visualize solution 168 */ 169 if (user.draw_contours) { 170 ierr = VecView(x,PETSC_VIEWER_DRAW_WORLD);CHKERRQ(ierr); 171 } 172 173 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 174 Free work space. All PETSc objects should be destroyed when they 175 are no longer needed. 176 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 177 ierr = VecDestroy(&x);CHKERRQ(ierr); 178 ierr = DMDestroy(&da);CHKERRQ(ierr); 179 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 180 ierr = PetscFinalize(); 181 return ierr; 182 } 183 184 /* ------------------------------------------------------------------- */ 185 186 /* 187 FormInitialGuess - Forms initial approximation. 188 189 Input Parameters: 190 user - user-defined application context 191 X - vector 192 193 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; 199 PetscErrorCode ierr; 200 PetscReal grashof,dx; 201 Field **x; 202 203 PetscFunctionBeginUser; 204 grashof = user->grashof; 205 206 ierr = DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0);CHKERRQ(ierr); 207 dx = 1.0/(mx-1); 208 209 /* 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 ierr = DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL);CHKERRQ(ierr); 215 216 /* 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 ierr = DMDAVecGetArrayWrite(da,X,&x);CHKERRQ(ierr); 224 225 /* 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 } 237 238 /* 239 Restore vector 240 */ 241 ierr = DMDAVecRestoreArrayWrite(da,X,&x);CHKERRQ(ierr); 242 PetscFunctionReturn(0); 243 } 244 245 PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) 246 { 247 AppCtx *user = (AppCtx*)ptr; 248 PetscErrorCode ierr; 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; 253 254 PetscFunctionBeginUser; 255 grashof = user->grashof; 256 prandtl = user->prandtl; 257 lid = user->lidvelocity; 258 259 /* 260 Define mesh intervals ratios for uniform grid. 261 262 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. 264 265 266 */ 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; 270 271 xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; 272 273 /* 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 } 285 286 /* 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 } 298 299 /* 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 } 311 312 /* 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 } 324 325 /* Compute over the interior points */ 326 for (j=yints; j<yinte; j++) { 327 for (i=xints; i<xinte; i++) { 328 329 /* 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); 336 337 /* 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; 342 343 /* 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; 348 349 /* 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; 356 357 /* 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 } 365 366 /* 367 Flop count (multiply-adds are counted as 2 operations) 368 */ 369 ierr = PetscLogFlops(84.0*info->ym*info->xm);CHKERRQ(ierr); 370 PetscFunctionReturn(0); 371 } 372 373 /* 374 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 375 */ 376 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 377 { 378 DMDALocalInfo info; 379 Field **x,**b; 380 PetscErrorCode ierr; 381 Vec localX, localB; 382 DM da; 383 PetscInt xints,xinte,yints,yinte,i,j,k,l; 384 PetscInt max_its,tot_its; 385 PetscInt sweeps; 386 PetscReal rtol,atol,stol; 387 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 388 PetscReal grashof,prandtl,lid; 389 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 390 PetscScalar fu, fv, fomega, ftemp; 391 PetscScalar dfudu; 392 PetscScalar dfvdv; 393 PetscScalar dfodu, dfodv, dfodo; 394 PetscScalar dftdu, dftdv, dftdt; 395 PetscScalar yu=0, yv=0, yo=0, yt=0; 396 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 397 PetscBool ptconverged; 398 PetscReal pfnorm,pfnorm0,pynorm,pxnorm; 399 AppCtx *user = (AppCtx*)ctx; 400 401 PetscFunctionBeginUser; 402 grashof = user->grashof; 403 prandtl = user->prandtl; 404 lid = user->lidvelocity; 405 tot_its = 0; 406 ierr = SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its);CHKERRQ(ierr); 407 ierr = SNESNGSGetSweeps(snes,&sweeps);CHKERRQ(ierr); 408 ierr = SNESGetDM(snes,(DM*)&da);CHKERRQ(ierr); 409 ierr = DMGetLocalVector(da,&localX);CHKERRQ(ierr); 410 if (B) { 411 ierr = DMGetLocalVector(da,&localB);CHKERRQ(ierr); 412 } 413 /* 414 Scatter ghost points to local vector, using the 2-step process 415 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 416 */ 417 ierr = DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX);CHKERRQ(ierr); 418 ierr = DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX);CHKERRQ(ierr); 419 if (B) { 420 ierr = DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB);CHKERRQ(ierr); 421 ierr = DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB);CHKERRQ(ierr); 422 } 423 ierr = DMDAGetLocalInfo(da,&info);CHKERRQ(ierr); 424 ierr = DMDAVecGetArrayWrite(da,localX,&x);CHKERRQ(ierr); 425 if (B) { 426 ierr = DMDAVecGetArrayRead(da,localB,&b);CHKERRQ(ierr); 427 } 428 /* looks like a combination of the formfunction / formjacobian routines */ 429 dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); 430 hx = 1.0/dhx; hy = 1.0/dhy; 431 hxdhy = hx*dhy; hydhx = hy*dhx; 432 433 xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; 434 435 /* Set the boundary conditions on the momentum equations */ 436 /* Test whether we are on the bottom edge of the global array */ 437 if (yints == 0) { 438 j = 0; 439 /* bottom edge */ 440 for (i=info.xs; i<info.xs+info.xm; i++) { 441 442 if (B) { 443 bjiu = b[j][i].u; 444 bjiv = b[j][i].v; 445 } else { 446 bjiu = 0.0; 447 bjiv = 0.0; 448 } 449 x[j][i].u = 0.0 + bjiu; 450 x[j][i].v = 0.0 + bjiv; 451 } 452 } 453 454 /* Test whether we are on the top edge of the global array */ 455 if (yinte == info.my) { 456 j = info.my - 1; 457 /* top edge */ 458 for (i=info.xs; i<info.xs+info.xm; i++) { 459 if (B) { 460 bjiu = b[j][i].u; 461 bjiv = b[j][i].v; 462 } else { 463 bjiu = 0.0; 464 bjiv = 0.0; 465 } 466 x[j][i].u = lid + bjiu; 467 x[j][i].v = bjiv; 468 } 469 } 470 471 /* Test whether we are on the left edge of the global array */ 472 if (xints == 0) { 473 i = 0; 474 /* left edge */ 475 for (j=info.ys; j<info.ys+info.ym; j++) { 476 if (B) { 477 bjiu = b[j][i].u; 478 bjiv = b[j][i].v; 479 } else { 480 bjiu = 0.0; 481 bjiv = 0.0; 482 } 483 x[j][i].u = 0.0 + bjiu; 484 x[j][i].v = 0.0 + bjiv; 485 } 486 } 487 488 /* Test whether we are on the right edge of the global array */ 489 if (xinte == info.mx) { 490 i = info.mx - 1; 491 /* right edge */ 492 for (j=info.ys; j<info.ys+info.ym; j++) { 493 if (B) { 494 bjiu = b[j][i].u; 495 bjiv = b[j][i].v; 496 } else { 497 bjiu = 0.0; 498 bjiv = 0.0; 499 } 500 x[j][i].u = 0.0 + bjiu; 501 x[j][i].v = 0.0 + bjiv; 502 } 503 } 504 505 for (k=0; k < sweeps; k++) { 506 for (j=info.ys; j<info.ys + info.ym; j++) { 507 for (i=info.xs; i<info.xs + info.xm; i++) { 508 ptconverged = PETSC_FALSE; 509 pfnorm0 = 0.0; 510 fu = 0.0; 511 fv = 0.0; 512 fomega = 0.0; 513 ftemp = 0.0; 514 /* Run Newton's method on a single grid point */ 515 for (l = 0; l < max_its && !ptconverged; l++) { 516 if (B) { 517 bjiu = b[j][i].u; 518 bjiv = b[j][i].v; 519 bjiomega = b[j][i].omega; 520 bjitemp = b[j][i].temp; 521 } else { 522 bjiu = 0.0; 523 bjiv = 0.0; 524 bjiomega = 0.0; 525 bjitemp = 0.0; 526 } 527 528 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) { 529 /* U velocity */ 530 u = x[j][i].u; 531 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 532 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 533 fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu; 534 dfudu = 2.0*(hydhx + hxdhy); 535 /* V velocity */ 536 u = x[j][i].v; 537 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 538 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 539 fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv; 540 dfvdv = 2.0*(hydhx + hxdhy); 541 /* 542 convective coefficients for upwinding 543 */ 544 vx = x[j][i].u; avx = PetscAbsScalar(vx); 545 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 546 vy = x[j][i].v; avy = PetscAbsScalar(vy); 547 vyp = .5*(vy+avy); vym = .5*(vy-avy); 548 /* Omega */ 549 u = x[j][i].omega; 550 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 551 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 552 fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 553 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 554 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega; 555 /* convective coefficient derivatives */ 556 dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx); 557 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy; 558 else dfodu = (x[j][i+1].omega - u)*hy; 559 560 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; 561 else dfodv = (x[j+1][i].omega - u)*hx; 562 563 /* Temperature */ 564 u = x[j][i].temp; 565 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 566 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 567 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; 568 dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); 569 if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; 570 else dftdu = prandtl*(x[j][i+1].temp - u)*hy; 571 572 if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; 573 else dftdv = prandtl*(x[j+1][i].temp - u)*hx; 574 575 /* invert the system: 576 [ dfu / du 0 0 0 ][yu] = [fu] 577 [ 0 dfv / dv 0 0 ][yv] [fv] 578 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 579 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 580 by simple back-substitution 581 */ 582 yu = fu / dfudu; 583 yv = fv / dfvdv; 584 yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; 585 yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; 586 587 x[j][i].u = x[j][i].u - yu; 588 x[j][i].v = x[j][i].v - yv; 589 x[j][i].temp = x[j][i].temp - yt; 590 x[j][i].omega = x[j][i].omega - yo; 591 } 592 if (i == 0) { 593 fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; 594 ftemp = x[j][i].temp - bjitemp; 595 yo = fomega; 596 yt = ftemp; 597 x[j][i].omega = x[j][i].omega - fomega; 598 x[j][i].temp = x[j][i].temp - ftemp; 599 } 600 if (i == info.mx - 1) { 601 fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; 602 ftemp = x[j][i].temp - (PetscReal)(grashof>0) - bjitemp; 603 yo = fomega; 604 yt = ftemp; 605 x[j][i].omega = x[j][i].omega - fomega; 606 x[j][i].temp = x[j][i].temp - ftemp; 607 } 608 if (j == 0) { 609 fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; 610 ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp; 611 yo = fomega; 612 yt = ftemp; 613 x[j][i].omega = x[j][i].omega - fomega; 614 x[j][i].temp = x[j][i].temp - ftemp; 615 } 616 if (j == info.my - 1) { 617 fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega; 618 ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp; 619 yo = fomega; 620 yt = ftemp; 621 x[j][i].omega = x[j][i].omega - fomega; 622 x[j][i].temp = x[j][i].temp - ftemp; 623 } 624 tot_its++; 625 pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); 626 pfnorm = PetscSqrtReal(pfnorm); 627 pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); 628 pynorm = PetscSqrtReal(pynorm); 629 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); 630 pxnorm = PetscSqrtReal(pxnorm); 631 if (l == 0) pfnorm0 = pfnorm; 632 if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; 633 } 634 } 635 } 636 } 637 ierr = DMDAVecRestoreArrayWrite(da,localX,&x);CHKERRQ(ierr); 638 if (B) { 639 ierr = DMDAVecRestoreArrayRead(da,localB,&b);CHKERRQ(ierr); 640 } 641 ierr = DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X);CHKERRQ(ierr); 642 ierr = DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X);CHKERRQ(ierr); 643 ierr = PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0));CHKERRQ(ierr); 644 ierr = DMRestoreLocalVector(da,&localX);CHKERRQ(ierr); 645 if (B) { 646 ierr = DMRestoreLocalVector(da,&localB);CHKERRQ(ierr); 647 } 648 PetscFunctionReturn(0); 649 } 650 651 652 /*TEST 653 654 test: 655 nsize: 2 656 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 657 requires: !single 658 659 test: 660 suffix: 10 661 nsize: 3 662 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 663 requires: !single 664 665 test: 666 suffix: 11 667 nsize: 4 668 requires: pastix 669 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 670 671 test: 672 suffix: 12 673 nsize: 12 674 requires: pastix 675 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 676 677 test: 678 suffix: 13 679 nsize: 3 680 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 681 requires: !single 682 683 test: 684 suffix: 14 685 nsize: 4 686 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 687 requires: !single 688 689 test: 690 suffix: 14_ds 691 nsize: 4 692 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 693 output_file: output/ex19_2.out 694 requires: !single 695 696 test: 697 suffix: 17 698 args: -snes_monitor_short -ksp_pc_side right 699 requires: !single 700 701 test: 702 suffix: 18 703 args: -ksp_monitor_snes_lg -ksp_pc_side right 704 requires: x !single 705 706 test: 707 suffix: 2 708 nsize: 4 709 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 710 requires: !single 711 712 test: 713 suffix: 2_bcols1 714 nsize: 4 715 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 716 output_file: output/ex19_2.out 717 requires: !single 718 719 test: 720 suffix: 3 721 nsize: 4 722 requires: mumps 723 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 2 724 725 test: 726 suffix: 4 727 nsize: 12 728 requires: mumps 729 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 5 730 output_file: output/ex19_3.out 731 732 test: 733 suffix: 6 734 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 735 requires: !single 736 737 test: 738 suffix: 7 739 nsize: 3 740 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 741 742 requires: !single 743 test: 744 suffix: 8 745 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 746 requires: !single 747 748 test: 749 suffix: 9 750 nsize: 3 751 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 752 requires: !single 753 754 test: 755 suffix: aspin 756 nsize: 4 757 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 758 requires: !single 759 760 test: 761 suffix: bcgsl 762 nsize: 2 763 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 764 requires: !single 765 766 test: 767 suffix: bcols1 768 nsize: 2 769 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 770 output_file: output/ex19_1.out 771 requires: !single 772 773 test: 774 suffix: bjacobi 775 nsize: 4 776 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 777 requires: !single 778 779 test: 780 suffix: cgne 781 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 782 filter: grep -v HERMITIAN 783 requires: !single 784 785 test: 786 suffix: cgs 787 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 788 requires: !single 789 790 test: 791 suffix: composite_fieldsplit 792 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 793 requires: !single 794 795 test: 796 suffix: composite_fieldsplit_bjacobi 797 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 798 requires: !single 799 800 test: 801 suffix: composite_fieldsplit_bjacobi_2 802 nsize: 4 803 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 804 requires: !single 805 806 test: 807 suffix: composite_gs_newton 808 nsize: 2 809 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 810 requires: !single 811 812 test: 813 suffix: cuda 814 requires: cuda !single 815 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 816 817 test: 818 suffix: draw 819 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 820 requires: x !single 821 822 test: 823 suffix: drawports 824 args: -snes_monitor_solution draw::draw_ports -da_refine 1 825 output_file: output/ex19_draw.out 826 requires: x !single 827 828 test: 829 suffix: fas 830 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 100 831 requires: !single 832 833 test: 834 suffix: fas_full 835 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 100 836 requires: !single 837 838 test: 839 suffix: fdcoloring_ds 840 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 841 output_file: output/ex19_2.out 842 requires: !single 843 844 test: 845 suffix: fdcoloring_ds_baij 846 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 847 output_file: output/ex19_2.out 848 requires: !single 849 850 test: 851 suffix: fdcoloring_ds_bcols1 852 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 853 output_file: output/ex19_2.out 854 requires: !single 855 856 test: 857 suffix: fdcoloring_wp 858 args: -da_refine 3 -snes_monitor_short -pc_type mg 859 requires: !single 860 861 test: 862 suffix: fdcoloring_wp_baij 863 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 864 output_file: output/ex19_fdcoloring_wp.out 865 requires: !single 866 867 test: 868 suffix: fdcoloring_wp_bcols1 869 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 870 output_file: output/ex19_fdcoloring_wp.out 871 requires: !single 872 873 test: 874 suffix: fieldsplit_2 875 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 876 requires: !single 877 878 test: 879 suffix: fieldsplit_3 880 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 881 requires: !single 882 883 test: 884 suffix: fieldsplit_4 885 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 886 requires: !single 887 888 # HYPRE PtAP broken with complex numbers 889 test: 890 suffix: fieldsplit_hypre 891 nsize: 2 892 requires: hypre mumps !complex 893 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 894 895 test: 896 suffix: fieldsplit_mumps 897 nsize: 2 898 requires: mumps 899 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 900 output_file: output/ex19_fieldsplit_5.out 901 902 test: 903 suffix: greedy_coloring 904 nsize: 2 905 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>&1 906 requires: !single 907 908 # HYPRE PtAP broken with complex numbers 909 test: 910 suffix: hypre 911 nsize: 2 912 requires: hypre !complex 913 args: -da_refine 3 -snes_monitor_short -pc_type hypre 914 915 test: 916 suffix: ibcgs 917 nsize: 2 918 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 919 requires: !complex !single 920 921 test: 922 suffix: kaczmarz 923 nsize: 2 924 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 925 requires: !single 926 927 test: 928 suffix: klu 929 requires: suitesparse 930 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 931 output_file: output/ex19_superlu.out 932 933 test: 934 suffix: klu_2 935 requires: suitesparse 936 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_ordering PETSC 937 output_file: output/ex19_superlu.out 938 939 test: 940 suffix: klu_3 941 requires: suitesparse 942 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 943 output_file: output/ex19_superlu.out 944 945 test: 946 suffix: ml 947 nsize: 2 948 requires: ml 949 args: -da_refine 3 -snes_monitor_short -pc_type ml 950 951 test: 952 suffix: ngmres_fas 953 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 954 requires: !single 955 956 test: 957 suffix: ngmres_fas_gssecant 958 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 959 requires: !single 960 961 test: 962 suffix: ngmres_fas_ms 963 nsize: 2 964 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 1 965 requires: !single 966 967 test: 968 suffix: ngmres_nasm 969 nsize: 4 970 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 100 971 requires: !single 972 973 test: 974 suffix: ngs 975 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 976 requires: !single 977 978 test: 979 suffix: ngs_fd 980 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 981 requires: !single 982 983 test: 984 suffix: parms 985 nsize: 2 986 requires: parms 987 args: -pc_type parms -ksp_monitor_short -snes_view 988 989 test: 990 suffix: superlu 991 requires: superlu 992 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 993 994 test: 995 suffix: superlu_sell 996 requires: superlu 997 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 998 output_file: output/ex19_superlu.out 999 1000 test: 1001 suffix: superlu_dist 1002 requires: superlu_dist 1003 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1004 output_file: output/ex19_superlu.out 1005 1006 test: 1007 suffix: superlu_dist_2 1008 nsize: 2 1009 requires: superlu_dist 1010 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1011 output_file: output/ex19_superlu.out 1012 1013 test: 1014 suffix: superlu_equil 1015 requires: superlu 1016 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 1017 1018 test: 1019 suffix: superlu_equil_sell 1020 requires: superlu 1021 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 1022 output_file: output/ex19_superlu_equil.out 1023 1024 test: 1025 suffix: tcqmr 1026 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1027 requires: !single 1028 1029 test: 1030 suffix: tfqmr 1031 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1032 requires: !single 1033 1034 test: 1035 suffix: umfpack 1036 requires: suitesparse 1037 args: -da_refine 2 -pc_type lu -pc_factor_mat_solver_type umfpack -snes_view -snes_monitor_short -ksp_monitor_short 1038 1039 test: 1040 suffix: tut_1 1041 nsize: 4 1042 requires: !single 1043 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1044 1045 test: 1046 suffix: tut_2 1047 nsize: 4 1048 requires: !single 1049 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1050 1051 # HYPRE PtAP broken with complex numbers 1052 test: 1053 suffix: tut_3 1054 nsize: 4 1055 requires: hypre !single !complex 1056 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1057 1058 test: 1059 suffix: tut_8 1060 nsize: 4 1061 requires: ml !single 1062 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1063 1064 test: 1065 suffix: tut_4 1066 nsize: 1 1067 requires: !single 1068 args: -da_refine 5 -log_view 1069 filter: head -n 2 1070 filter_output: head -n 2 1071 1072 test: 1073 suffix: tut_5 1074 nsize: 1 1075 requires: !single 1076 args: -da_refine 5 -log_view -pc_type mg 1077 filter: head -n 2 1078 filter_output: head -n 2 1079 1080 test: 1081 suffix: tut_6 1082 nsize: 4 1083 requires: !single 1084 args: -da_refine 5 -log_view 1085 filter: head -n 2 1086 filter_output: head -n 2 1087 1088 test: 1089 suffix: tut_7 1090 nsize: 4 1091 requires: !single 1092 args: -da_refine 5 -log_view -pc_type mg 1093 filter: head -n 2 1094 filter_output: head -n 2 1095 1096 test: 1097 suffix: cuda_1 1098 nsize: 1 1099 requires: cuda 1100 args: -snes_monitor -dm_mat_type seqaijcusparse -dm_vec_type seqcuda -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 3 1101 1102 1103 test: 1104 suffix: cuda_2 1105 nsize: 3 1106 requires: cuda !single 1107 args: -snes_monitor -dm_mat_type mpiaijcusparse -dm_vec_type mpicuda -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 3 1108 1109 test: 1110 suffix: seqbaijmkl 1111 nsize: 1 1112 requires: define(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1113 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1114 1115 test: 1116 suffix: mpibaijmkl 1117 nsize: 2 1118 requires: define(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1119 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1120 1121 test: 1122 suffix: cpardiso 1123 nsize: 4 1124 requires: mkl_cpardiso 1125 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1126 1127 test: 1128 suffix: logviewmemory 1129 requires: define(PETSC_USE_LOG) !define(PETSC_HAVE_VALGRIND) 1130 args: -log_view -log_view_memory -da_refine 4 1131 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1132 1133 TEST*/ 1134