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 /*F----------------------------------------------------------------------- 24 25 We thank David E. Keyes for contributing the driven cavity discretization within this example code. 26 27 This problem is modeled by the partial differential equation system 28 29 \begin{eqnarray} 30 - \triangle U - \nabla_y \Omega & = & 0 \\ 31 - \triangle V + \nabla_x\Omega & = & 0 \\ 32 - \triangle \Omega + \nabla \cdot ([U*\Omega,V*\Omega]) - GR* \nabla_x T & = & 0 \\ 33 - \triangle T + PR* \nabla \cdot ([U*T,V*T]) & = & 0 34 \end{eqnarray} 35 36 in the unit square, which is uniformly discretized in each of x and y in this simple encoding. 37 38 No-slip, rigid-wall Dirichlet conditions are used for $ [U,V]$. 39 Dirichlet conditions are used for Omega, based on the definition of 40 vorticity: $ \Omega = - \nabla_y U + \nabla_x V$, where along each 41 constant coordinate boundary, the tangential derivative is zero. 42 Dirichlet conditions are used for T on the left and right walls, 43 and insulation homogeneous Neumann conditions are used for T on 44 the top and bottom walls. 45 46 A finite difference approximation with the usual 5-point stencil 47 is used to discretize the boundary value problem to obtain a 48 nonlinear system of equations. Upwinding is used for the divergence 49 (convective) terms and central for the gradient (source) terms. 50 51 The Jacobian can be either 52 * formed via finite differencing using coloring (the default), or 53 * applied matrix-free via the option -snes_mf 54 (for larger grid problems this variant may not converge 55 without a preconditioner due to ill-conditioning). 56 57 ------------------------------------------------------------------------F*/ 58 59 /* 60 Include "petscdmda.h" so that we can use distributed arrays (DMDAs). 61 Include "petscsnes.h" so that we can use SNES solvers. Note that this 62 file automatically includes: 63 petscsys.h - base PETSc routines petscvec.h - vectors 64 petscmat.h - matrices 65 petscis.h - index sets petscksp.h - Krylov subspace methods 66 petscviewer.h - viewers petscpc.h - preconditioners 67 petscksp.h - linear solvers 68 */ 69 #if defined(PETSC_APPLE_FRAMEWORK) 70 #import <PETSc/petscsnes.h> 71 #import <PETSc/petscdmda.h> 72 #else 73 #include <petscsnes.h> 74 #include <petscdm.h> 75 #include <petscdmda.h> 76 #endif 77 78 /* 79 User-defined routines and data structures 80 */ 81 typedef struct { 82 PetscScalar u,v,omega,temp; 83 } Field; 84 85 PetscErrorCode FormFunctionLocal(DMDALocalInfo*,Field**,Field**,void*); 86 87 typedef struct { 88 PetscReal lidvelocity,prandtl,grashof; /* physical parameters */ 89 PetscBool draw_contours; /* flag - 1 indicates drawing contours */ 90 } AppCtx; 91 92 extern PetscErrorCode FormInitialGuess(AppCtx*,DM,Vec); 93 extern PetscErrorCode NonlinearGS(SNES,Vec,Vec,void*); 94 95 int main(int argc,char **argv) 96 { 97 AppCtx user; /* user-defined work context */ 98 PetscInt mx,my,its; 99 PetscErrorCode ierr; 100 MPI_Comm comm; 101 SNES snes; 102 DM da; 103 Vec x; 104 105 ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr; 106 107 PetscFunctionBeginUser; 108 comm = PETSC_COMM_WORLD; 109 CHKERRQ(SNESCreate(comm,&snes)); 110 111 /* 112 Create distributed array object to manage parallel grid and vectors 113 for principal unknowns (x) and governing residuals (f) 114 */ 115 CHKERRQ(DMDACreate2d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,4,4,PETSC_DECIDE,PETSC_DECIDE,4,1,0,0,&da)); 116 CHKERRQ(DMSetFromOptions(da)); 117 CHKERRQ(DMSetUp(da)); 118 CHKERRQ(SNESSetDM(snes,(DM)da)); 119 CHKERRQ(SNESSetNGS(snes, NonlinearGS, (void*)&user)); 120 121 CHKERRQ(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)); 122 /* 123 Problem parameters (velocity of lid, prandtl, and grashof numbers) 124 */ 125 user.lidvelocity = 1.0/(mx*my); 126 user.prandtl = 1.0; 127 user.grashof = 1.0; 128 129 CHKERRQ(PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL)); 130 CHKERRQ(PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL)); 131 CHKERRQ(PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL)); 132 CHKERRQ(PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours)); 133 134 CHKERRQ(DMDASetFieldName(da,0,"x_velocity")); 135 CHKERRQ(DMDASetFieldName(da,1,"y_velocity")); 136 CHKERRQ(DMDASetFieldName(da,2,"Omega")); 137 CHKERRQ(DMDASetFieldName(da,3,"temperature")); 138 139 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 140 Create user context, set problem data, create vector data structures. 141 Also, compute the initial guess. 142 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 143 144 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 145 Create nonlinear solver context 146 147 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 148 CHKERRQ(DMSetApplicationContext(da,&user)); 149 CHKERRQ(DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user)); 150 CHKERRQ(SNESSetFromOptions(snes)); 151 CHKERRQ(PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof)); 152 153 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 154 Solve the nonlinear system 155 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 156 CHKERRQ(DMCreateGlobalVector(da,&x)); 157 CHKERRQ(FormInitialGuess(&user,da,x)); 158 159 CHKERRQ(SNESSolve(snes,NULL,x)); 160 161 CHKERRQ(SNESGetIterationNumber(snes,&its)); 162 CHKERRQ(PetscPrintf(comm,"Number of SNES iterations = %D\n", its)); 163 164 /* 165 Visualize solution 166 */ 167 if (user.draw_contours) { 168 CHKERRQ(VecView(x,PETSC_VIEWER_DRAW_WORLD)); 169 } 170 171 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 172 Free work space. All PETSc objects should be destroyed when they 173 are no longer needed. 174 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 175 CHKERRQ(VecDestroy(&x)); 176 CHKERRQ(DMDestroy(&da)); 177 CHKERRQ(SNESDestroy(&snes)); 178 ierr = PetscFinalize(); 179 return ierr; 180 } 181 182 /* ------------------------------------------------------------------- */ 183 184 /* 185 FormInitialGuess - Forms initial approximation. 186 187 Input Parameters: 188 user - user-defined application context 189 X - vector 190 191 Output Parameter: 192 X - vector 193 */ 194 PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X) 195 { 196 PetscInt i,j,mx,xs,ys,xm,ym; 197 PetscReal grashof,dx; 198 Field **x; 199 200 PetscFunctionBeginUser; 201 grashof = user->grashof; 202 203 CHKERRQ(DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0)); 204 dx = 1.0/(mx-1); 205 206 /* 207 Get local grid boundaries (for 2-dimensional DMDA): 208 xs, ys - starting grid indices (no ghost points) 209 xm, ym - widths of local grid (no ghost points) 210 */ 211 CHKERRQ(DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL)); 212 213 /* 214 Get a pointer to vector data. 215 - For default PETSc vectors, VecGetArray() returns a pointer to 216 the data array. Otherwise, the routine is implementation dependent. 217 - You MUST call VecRestoreArray() when you no longer need access to 218 the array. 219 */ 220 CHKERRQ(DMDAVecGetArrayWrite(da,X,&x)); 221 222 /* 223 Compute initial guess over the locally owned part of the grid 224 Initial condition is motionless fluid and equilibrium temperature 225 */ 226 for (j=ys; j<ys+ym; j++) { 227 for (i=xs; i<xs+xm; i++) { 228 x[j][i].u = 0.0; 229 x[j][i].v = 0.0; 230 x[j][i].omega = 0.0; 231 x[j][i].temp = (grashof>0)*i*dx; 232 } 233 } 234 235 /* 236 Restore vector 237 */ 238 CHKERRQ(DMDAVecRestoreArrayWrite(da,X,&x)); 239 PetscFunctionReturn(0); 240 } 241 242 PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) 243 { 244 AppCtx *user = (AppCtx*)ptr; 245 PetscInt xints,xinte,yints,yinte,i,j; 246 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 247 PetscReal grashof,prandtl,lid; 248 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 249 250 PetscFunctionBeginUser; 251 grashof = user->grashof; 252 prandtl = user->prandtl; 253 lid = user->lidvelocity; 254 255 /* 256 Define mesh intervals ratios for uniform grid. 257 258 Note: FD formulae below are normalized by multiplying through by 259 local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions. 260 261 */ 262 dhx = (PetscReal)(info->mx-1); dhy = (PetscReal)(info->my-1); 263 hx = 1.0/dhx; hy = 1.0/dhy; 264 hxdhy = hx*dhy; hydhx = hy*dhx; 265 266 xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; 267 268 /* Test whether we are on the bottom edge of the global array */ 269 if (yints == 0) { 270 j = 0; 271 yints = yints + 1; 272 /* bottom edge */ 273 for (i=info->xs; i<info->xs+info->xm; i++) { 274 f[j][i].u = x[j][i].u; 275 f[j][i].v = x[j][i].v; 276 f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy; 277 f[j][i].temp = x[j][i].temp-x[j+1][i].temp; 278 } 279 } 280 281 /* Test whether we are on the top edge of the global array */ 282 if (yinte == info->my) { 283 j = info->my - 1; 284 yinte = yinte - 1; 285 /* top edge */ 286 for (i=info->xs; i<info->xs+info->xm; i++) { 287 f[j][i].u = x[j][i].u - lid; 288 f[j][i].v = x[j][i].v; 289 f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy; 290 f[j][i].temp = x[j][i].temp-x[j-1][i].temp; 291 } 292 } 293 294 /* Test whether we are on the left edge of the global array */ 295 if (xints == 0) { 296 i = 0; 297 xints = xints + 1; 298 /* left edge */ 299 for (j=info->ys; j<info->ys+info->ym; j++) { 300 f[j][i].u = x[j][i].u; 301 f[j][i].v = x[j][i].v; 302 f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx; 303 f[j][i].temp = x[j][i].temp; 304 } 305 } 306 307 /* Test whether we are on the right edge of the global array */ 308 if (xinte == info->mx) { 309 i = info->mx - 1; 310 xinte = xinte - 1; 311 /* right edge */ 312 for (j=info->ys; j<info->ys+info->ym; j++) { 313 f[j][i].u = x[j][i].u; 314 f[j][i].v = x[j][i].v; 315 f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx; 316 f[j][i].temp = x[j][i].temp - (PetscReal)(grashof>0); 317 } 318 } 319 320 /* Compute over the interior points */ 321 for (j=yints; j<yinte; j++) { 322 for (i=xints; i<xinte; i++) { 323 324 /* 325 convective coefficients for upwinding 326 */ 327 vx = x[j][i].u; avx = PetscAbsScalar(vx); 328 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 329 vy = x[j][i].v; avy = PetscAbsScalar(vy); 330 vyp = .5*(vy+avy); vym = .5*(vy-avy); 331 332 /* U velocity */ 333 u = x[j][i].u; 334 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 335 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 336 f[j][i].u = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx; 337 338 /* V velocity */ 339 u = x[j][i].v; 340 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 341 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 342 f[j][i].v = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy; 343 344 /* Omega */ 345 u = x[j][i].omega; 346 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 347 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 348 f[j][i].omega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 349 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 350 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy; 351 352 /* Temperature */ 353 u = x[j][i].temp; 354 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 355 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 356 f[j][i].temp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy + 357 (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx); 358 } 359 } 360 361 /* 362 Flop count (multiply-adds are counted as 2 operations) 363 */ 364 CHKERRQ(PetscLogFlops(84.0*info->ym*info->xm)); 365 PetscFunctionReturn(0); 366 } 367 368 /* 369 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 370 */ 371 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 372 { 373 DMDALocalInfo info; 374 Field **x,**b; 375 Vec localX, localB; 376 DM da; 377 PetscInt xints,xinte,yints,yinte,i,j,k,l; 378 PetscInt max_its,tot_its; 379 PetscInt sweeps; 380 PetscReal rtol,atol,stol; 381 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 382 PetscReal grashof,prandtl,lid; 383 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 384 PetscScalar fu, fv, fomega, ftemp; 385 PetscScalar dfudu; 386 PetscScalar dfvdv; 387 PetscScalar dfodu, dfodv, dfodo; 388 PetscScalar dftdu, dftdv, dftdt; 389 PetscScalar yu=0, yv=0, yo=0, yt=0; 390 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 391 PetscBool ptconverged; 392 PetscReal pfnorm,pfnorm0,pynorm,pxnorm; 393 AppCtx *user = (AppCtx*)ctx; 394 395 PetscFunctionBeginUser; 396 grashof = user->grashof; 397 prandtl = user->prandtl; 398 lid = user->lidvelocity; 399 tot_its = 0; 400 CHKERRQ(SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its)); 401 CHKERRQ(SNESNGSGetSweeps(snes,&sweeps)); 402 CHKERRQ(SNESGetDM(snes,(DM*)&da)); 403 CHKERRQ(DMGetLocalVector(da,&localX)); 404 if (B) { 405 CHKERRQ(DMGetLocalVector(da,&localB)); 406 } 407 /* 408 Scatter ghost points to local vector, using the 2-step process 409 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 410 */ 411 CHKERRQ(DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX)); 412 CHKERRQ(DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX)); 413 if (B) { 414 CHKERRQ(DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB)); 415 CHKERRQ(DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB)); 416 } 417 CHKERRQ(DMDAGetLocalInfo(da,&info)); 418 CHKERRQ(DMDAVecGetArrayWrite(da,localX,&x)); 419 if (B) { 420 CHKERRQ(DMDAVecGetArrayRead(da,localB,&b)); 421 } 422 /* looks like a combination of the formfunction / formjacobian routines */ 423 dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); 424 hx = 1.0/dhx; hy = 1.0/dhy; 425 hxdhy = hx*dhy; hydhx = hy*dhx; 426 427 xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; 428 429 /* Set the boundary conditions on the momentum equations */ 430 /* Test whether we are on the bottom edge of the global array */ 431 if (yints == 0) { 432 j = 0; 433 /* bottom edge */ 434 for (i=info.xs; i<info.xs+info.xm; i++) { 435 436 if (B) { 437 bjiu = b[j][i].u; 438 bjiv = b[j][i].v; 439 } else { 440 bjiu = 0.0; 441 bjiv = 0.0; 442 } 443 x[j][i].u = 0.0 + bjiu; 444 x[j][i].v = 0.0 + bjiv; 445 } 446 } 447 448 /* Test whether we are on the top edge of the global array */ 449 if (yinte == info.my) { 450 j = info.my - 1; 451 /* top edge */ 452 for (i=info.xs; i<info.xs+info.xm; i++) { 453 if (B) { 454 bjiu = b[j][i].u; 455 bjiv = b[j][i].v; 456 } else { 457 bjiu = 0.0; 458 bjiv = 0.0; 459 } 460 x[j][i].u = lid + bjiu; 461 x[j][i].v = bjiv; 462 } 463 } 464 465 /* Test whether we are on the left edge of the global array */ 466 if (xints == 0) { 467 i = 0; 468 /* left edge */ 469 for (j=info.ys; j<info.ys+info.ym; j++) { 470 if (B) { 471 bjiu = b[j][i].u; 472 bjiv = b[j][i].v; 473 } else { 474 bjiu = 0.0; 475 bjiv = 0.0; 476 } 477 x[j][i].u = 0.0 + bjiu; 478 x[j][i].v = 0.0 + bjiv; 479 } 480 } 481 482 /* Test whether we are on the right edge of the global array */ 483 if (xinte == info.mx) { 484 i = info.mx - 1; 485 /* right edge */ 486 for (j=info.ys; j<info.ys+info.ym; j++) { 487 if (B) { 488 bjiu = b[j][i].u; 489 bjiv = b[j][i].v; 490 } else { 491 bjiu = 0.0; 492 bjiv = 0.0; 493 } 494 x[j][i].u = 0.0 + bjiu; 495 x[j][i].v = 0.0 + bjiv; 496 } 497 } 498 499 for (k=0; k < sweeps; k++) { 500 for (j=info.ys; j<info.ys + info.ym; j++) { 501 for (i=info.xs; i<info.xs + info.xm; i++) { 502 ptconverged = PETSC_FALSE; 503 pfnorm0 = 0.0; 504 fu = 0.0; 505 fv = 0.0; 506 fomega = 0.0; 507 ftemp = 0.0; 508 /* Run Newton's method on a single grid point */ 509 for (l = 0; l < max_its && !ptconverged; l++) { 510 if (B) { 511 bjiu = b[j][i].u; 512 bjiv = b[j][i].v; 513 bjiomega = b[j][i].omega; 514 bjitemp = b[j][i].temp; 515 } else { 516 bjiu = 0.0; 517 bjiv = 0.0; 518 bjiomega = 0.0; 519 bjitemp = 0.0; 520 } 521 522 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) { 523 /* U velocity */ 524 u = x[j][i].u; 525 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 526 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 527 fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu; 528 dfudu = 2.0*(hydhx + hxdhy); 529 /* V velocity */ 530 u = x[j][i].v; 531 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 532 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 533 fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv; 534 dfvdv = 2.0*(hydhx + hxdhy); 535 /* 536 convective coefficients for upwinding 537 */ 538 vx = x[j][i].u; avx = PetscAbsScalar(vx); 539 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 540 vy = x[j][i].v; avy = PetscAbsScalar(vy); 541 vyp = .5*(vy+avy); vym = .5*(vy-avy); 542 /* Omega */ 543 u = x[j][i].omega; 544 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 545 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 546 fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 547 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 548 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega; 549 /* convective coefficient derivatives */ 550 dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx); 551 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy; 552 else dfodu = (x[j][i+1].omega - u)*hy; 553 554 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; 555 else dfodv = (x[j+1][i].omega - u)*hx; 556 557 /* Temperature */ 558 u = x[j][i].temp; 559 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 560 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 561 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; 562 dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); 563 if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; 564 else dftdu = prandtl*(x[j][i+1].temp - u)*hy; 565 566 if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; 567 else dftdv = prandtl*(x[j+1][i].temp - u)*hx; 568 569 /* invert the system: 570 [ dfu / du 0 0 0 ][yu] = [fu] 571 [ 0 dfv / dv 0 0 ][yv] [fv] 572 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 573 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 574 by simple back-substitution 575 */ 576 yu = fu / dfudu; 577 yv = fv / dfvdv; 578 yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; 579 yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; 580 581 x[j][i].u = x[j][i].u - yu; 582 x[j][i].v = x[j][i].v - yv; 583 x[j][i].temp = x[j][i].temp - yt; 584 x[j][i].omega = x[j][i].omega - yo; 585 } 586 if (i == 0) { 587 fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; 588 ftemp = x[j][i].temp - bjitemp; 589 yo = fomega; 590 yt = ftemp; 591 x[j][i].omega = x[j][i].omega - fomega; 592 x[j][i].temp = x[j][i].temp - ftemp; 593 } 594 if (i == info.mx - 1) { 595 fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; 596 ftemp = x[j][i].temp - (PetscReal)(grashof>0) - bjitemp; 597 yo = fomega; 598 yt = ftemp; 599 x[j][i].omega = x[j][i].omega - fomega; 600 x[j][i].temp = x[j][i].temp - ftemp; 601 } 602 if (j == 0) { 603 fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; 604 ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp; 605 yo = fomega; 606 yt = ftemp; 607 x[j][i].omega = x[j][i].omega - fomega; 608 x[j][i].temp = x[j][i].temp - ftemp; 609 } 610 if (j == info.my - 1) { 611 fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega; 612 ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp; 613 yo = fomega; 614 yt = ftemp; 615 x[j][i].omega = x[j][i].omega - fomega; 616 x[j][i].temp = x[j][i].temp - ftemp; 617 } 618 tot_its++; 619 pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); 620 pfnorm = PetscSqrtReal(pfnorm); 621 pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); 622 pynorm = PetscSqrtReal(pynorm); 623 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); 624 pxnorm = PetscSqrtReal(pxnorm); 625 if (l == 0) pfnorm0 = pfnorm; 626 if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; 627 } 628 } 629 } 630 } 631 CHKERRQ(DMDAVecRestoreArrayWrite(da,localX,&x)); 632 if (B) { 633 CHKERRQ(DMDAVecRestoreArrayRead(da,localB,&b)); 634 } 635 CHKERRQ(DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X)); 636 CHKERRQ(DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X)); 637 CHKERRQ(PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0))); 638 CHKERRQ(DMRestoreLocalVector(da,&localX)); 639 if (B) { 640 CHKERRQ(DMRestoreLocalVector(da,&localB)); 641 } 642 PetscFunctionReturn(0); 643 } 644 645 /*TEST 646 647 test: 648 nsize: 2 649 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 650 requires: !single 651 652 test: 653 suffix: 10 654 nsize: 3 655 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 656 requires: !single 657 658 test: 659 suffix: 11 660 nsize: 4 661 requires: pastix 662 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 663 664 test: 665 suffix: 12 666 nsize: 12 667 requires: pastix 668 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 669 670 test: 671 suffix: 13 672 nsize: 3 673 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 674 requires: !single 675 676 test: 677 suffix: 14 678 nsize: 4 679 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 680 requires: !single 681 682 test: 683 suffix: 14_ds 684 nsize: 4 685 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 686 output_file: output/ex19_2.out 687 requires: !single 688 689 test: 690 suffix: 17 691 args: -snes_monitor_short -ksp_pc_side right 692 requires: !single 693 694 test: 695 suffix: 18 696 args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right 697 requires: x !single 698 699 test: 700 suffix: 19 701 nsize: 2 702 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc 703 requires: !single 704 705 test: 706 suffix: 20 707 nsize: 2 708 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc -snes_trdc_use_cauchy false 709 requires: !single 710 711 test: 712 suffix: 2 713 nsize: 4 714 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 715 requires: !single 716 717 test: 718 suffix: 2_bcols1 719 nsize: 4 720 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 721 output_file: output/ex19_2.out 722 requires: !single 723 724 test: 725 suffix: 3 726 nsize: 4 727 requires: mumps 728 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 2 729 730 test: 731 suffix: 4 732 nsize: 12 733 requires: mumps 734 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 5 735 output_file: output/ex19_3.out 736 737 test: 738 suffix: 6 739 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 740 requires: !single 741 742 test: 743 suffix: 7 744 nsize: 3 745 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 746 747 requires: !single 748 test: 749 suffix: 8 750 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 751 requires: !single 752 753 test: 754 suffix: 9 755 nsize: 3 756 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 757 requires: !single 758 759 test: 760 suffix: aspin 761 nsize: 4 762 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 763 requires: !single 764 765 test: 766 suffix: bcgsl 767 nsize: 2 768 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 769 requires: !single 770 771 test: 772 suffix: bcols1 773 nsize: 2 774 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 775 output_file: output/ex19_1.out 776 requires: !single 777 778 test: 779 suffix: bjacobi 780 nsize: 4 781 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 782 requires: !single 783 784 test: 785 suffix: cgne 786 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 787 filter: grep -v HERMITIAN 788 requires: !single 789 790 test: 791 suffix: cgs 792 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 793 requires: !single 794 795 test: 796 suffix: composite_fieldsplit 797 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 798 requires: !single 799 800 test: 801 suffix: composite_fieldsplit_bjacobi 802 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 803 requires: !single 804 805 test: 806 suffix: composite_fieldsplit_bjacobi_2 807 nsize: 4 808 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 809 requires: !single 810 811 test: 812 suffix: composite_gs_newton 813 nsize: 2 814 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 815 requires: !single 816 817 test: 818 suffix: cuda 819 requires: cuda !single 820 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 821 822 test: 823 suffix: draw 824 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 825 requires: x !single 826 827 test: 828 suffix: drawports 829 args: -snes_monitor_solution draw::draw_ports -da_refine 1 830 output_file: output/ex19_draw.out 831 requires: x !single 832 833 test: 834 suffix: fas 835 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 100 836 requires: !single 837 838 test: 839 suffix: fas_full 840 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 100 841 requires: !single 842 843 test: 844 suffix: fdcoloring_ds 845 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 846 output_file: output/ex19_2.out 847 requires: !single 848 849 test: 850 suffix: fdcoloring_ds_baij 851 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 852 output_file: output/ex19_2.out 853 requires: !single 854 855 test: 856 suffix: fdcoloring_ds_bcols1 857 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 858 output_file: output/ex19_2.out 859 requires: !single 860 861 test: 862 suffix: fdcoloring_wp 863 args: -da_refine 3 -snes_monitor_short -pc_type mg 864 requires: !single 865 866 test: 867 suffix: fdcoloring_wp_baij 868 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 869 output_file: output/ex19_fdcoloring_wp.out 870 requires: !single 871 872 test: 873 suffix: fdcoloring_wp_bcols1 874 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 875 output_file: output/ex19_fdcoloring_wp.out 876 requires: !single 877 878 test: 879 suffix: fieldsplit_2 880 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 -snes_monitor_short -ksp_monitor_short 881 requires: !single 882 883 test: 884 suffix: fieldsplit_3 885 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 886 requires: !single 887 888 test: 889 suffix: fieldsplit_4 890 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 891 requires: !single 892 893 # HYPRE PtAP broken with complex numbers 894 test: 895 suffix: fieldsplit_hypre 896 nsize: 2 897 requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 898 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 899 900 test: 901 suffix: fieldsplit_mumps 902 nsize: 2 903 requires: mumps 904 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 905 output_file: output/ex19_fieldsplit_5.out 906 907 test: 908 suffix: greedy_coloring 909 nsize: 2 910 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>&1 911 requires: !single 912 913 # HYPRE PtAP broken with complex numbers 914 test: 915 suffix: hypre 916 nsize: 2 917 requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 918 args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned 919 920 # ibcgs is broken when using device vectors 921 test: 922 suffix: ibcgs 923 nsize: 2 924 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 925 requires: !complex !single 926 927 test: 928 suffix: kaczmarz 929 nsize: 2 930 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 931 requires: !single 932 933 test: 934 suffix: klu 935 requires: suitesparse 936 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 937 output_file: output/ex19_superlu.out 938 939 test: 940 suffix: klu_2 941 requires: suitesparse 942 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd 943 output_file: output/ex19_superlu.out 944 945 test: 946 suffix: klu_3 947 requires: suitesparse 948 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 949 output_file: output/ex19_superlu.out 950 951 test: 952 suffix: ml 953 nsize: 2 954 requires: ml 955 args: -da_refine 3 -snes_monitor_short -pc_type ml 956 957 test: 958 suffix: ngmres_fas 959 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 960 requires: !single 961 962 test: 963 suffix: ngmres_fas_gssecant 964 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 965 requires: !single 966 967 test: 968 suffix: ngmres_fas_ms 969 nsize: 2 970 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 1 971 requires: !single 972 973 test: 974 suffix: ngmres_nasm 975 nsize: 4 976 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 100 977 requires: !single 978 979 test: 980 suffix: ngs 981 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 982 requires: !single 983 984 test: 985 suffix: ngs_fd 986 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 987 requires: !single 988 989 test: 990 suffix: parms 991 nsize: 2 992 requires: parms 993 args: -pc_type parms -ksp_monitor_short -snes_view 994 995 test: 996 suffix: superlu 997 requires: superlu 998 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 999 1000 test: 1001 suffix: superlu_sell 1002 requires: superlu 1003 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 1004 output_file: output/ex19_superlu.out 1005 1006 test: 1007 suffix: superlu_dist 1008 requires: superlu_dist 1009 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1010 output_file: output/ex19_superlu.out 1011 1012 test: 1013 suffix: superlu_dist_2 1014 nsize: 2 1015 requires: superlu_dist 1016 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1017 output_file: output/ex19_superlu.out 1018 1019 test: 1020 suffix: superlu_dist_3d 1021 nsize: 4 1022 requires: superlu_dist !defined(PETSCTEST_VALGRIND) 1023 filter: grep -v iam | grep -v openMP 1024 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist -mat_superlu_dist_3d -mat_superlu_dist_d 2 -snes_view -snes_monitor -ksp_monitor 1025 1026 test: 1027 suffix: superlu_equil 1028 requires: superlu 1029 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 1030 1031 test: 1032 suffix: superlu_equil_sell 1033 requires: superlu 1034 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 1035 output_file: output/ex19_superlu_equil.out 1036 1037 test: 1038 suffix: tcqmr 1039 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1040 requires: !single 1041 1042 test: 1043 suffix: tfqmr 1044 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1045 requires: !single 1046 1047 test: 1048 suffix: umfpack 1049 requires: suitesparse 1050 args: -da_refine 2 -pc_type lu -pc_factor_mat_solver_type umfpack -snes_view -snes_monitor_short -ksp_monitor_short -pc_factor_mat_ordering_type external 1051 1052 test: 1053 suffix: tut_1 1054 nsize: 4 1055 requires: !single 1056 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1057 1058 test: 1059 suffix: tut_2 1060 nsize: 4 1061 requires: !single 1062 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1063 1064 # HYPRE PtAP broken with complex numbers 1065 test: 1066 suffix: tut_3 1067 nsize: 4 1068 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 1069 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1070 1071 test: 1072 suffix: tut_8 1073 nsize: 4 1074 requires: ml !single 1075 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1076 1077 test: 1078 suffix: tut_4 1079 nsize: 1 1080 requires: !single 1081 args: -da_refine 5 -log_view 1082 filter: head -n 2 1083 filter_output: head -n 2 1084 1085 test: 1086 suffix: tut_5 1087 nsize: 1 1088 requires: !single 1089 args: -da_refine 5 -log_view -pc_type mg 1090 filter: head -n 2 1091 filter_output: head -n 2 1092 1093 test: 1094 suffix: tut_6 1095 nsize: 4 1096 requires: !single 1097 args: -da_refine 5 -log_view 1098 filter: head -n 2 1099 filter_output: head -n 2 1100 1101 test: 1102 suffix: tut_7 1103 nsize: 4 1104 requires: !single 1105 args: -da_refine 5 -log_view -pc_type mg 1106 filter: head -n 2 1107 filter_output: head -n 2 1108 1109 test: 1110 suffix: cuda_1 1111 nsize: 1 1112 requires: cuda 1113 args: -snes_monitor -dm_mat_type seqaijcusparse -dm_vec_type seqcuda -pc_type gamg -pc_gamg_esteig_ksp_max_it 10 -ksp_monitor -mg_levels_ksp_max_it 3 1114 1115 test: 1116 suffix: cuda_2 1117 nsize: 3 1118 requires: cuda !single 1119 args: -snes_monitor -dm_mat_type mpiaijcusparse -dm_vec_type mpicuda -pc_type gamg -pc_gamg_esteig_ksp_max_it 10 -ksp_monitor -mg_levels_ksp_max_it 3 1120 1121 test: 1122 suffix: cuda_dm_bind_below 1123 nsize: 2 1124 requires: cuda 1125 args: -dm_mat_type aijcusparse -dm_vec_type cuda -da_refine 3 -pc_type mg -mg_levels_ksp_type chebyshev -mg_levels_pc_type jacobi -log_view -pc_mg_log -dm_bind_below 10000 1126 filter: awk "/Level/ {print \$24}" 1127 1128 test: 1129 suffix: viennacl_dm_bind_below 1130 nsize: 2 1131 requires: viennacl 1132 args: -dm_mat_type aijviennacl -dm_vec_type viennacl -da_refine 3 -pc_type mg -mg_levels_ksp_type chebyshev -mg_levels_pc_type jacobi -log_view -pc_mg_log -dm_bind_below 10000 1133 filter: awk "/Level/ {print \$24}" 1134 1135 test: 1136 suffix: seqbaijmkl 1137 nsize: 1 1138 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1139 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1140 1141 test: 1142 suffix: mpibaijmkl 1143 nsize: 2 1144 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1145 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1146 1147 test: 1148 suffix: cpardiso 1149 nsize: 4 1150 requires: mkl_cpardiso 1151 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1152 1153 test: 1154 suffix: logviewmemory 1155 requires: defined(PETSC_USE_LOG) !defined(PETSCTEST_VALGRIND) 1156 args: -log_view -log_view_memory -da_refine 4 1157 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1158 1159 test: 1160 suffix: fs 1161 args: -pc_type fieldsplit -da_refine 3 -all_ksp_monitor -fieldsplit_y_velocity_pc_type lu -fieldsplit_temperature_pc_type lu -fieldsplit_x_velocity_pc_type lu -snes_view 1162 1163 test: 1164 suffix: asm_matconvert 1165 args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view 1166 1167 test: 1168 suffix: euclid 1169 nsize: 2 1170 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1171 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid 1172 1173 test: 1174 suffix: euclid_bj 1175 nsize: 2 1176 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1177 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj 1178 1179 test: 1180 suffix: euclid_droptolerance 1181 nsize: 1 1182 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1183 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_droptolerance .1 1184 1185 TEST*/ 1186