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 /*F----------------------------------------------------------------------- 17 18 We thank David E. Keyes for contributing the driven cavity discretization within this example code. 19 20 This problem is modeled by the partial differential equation system 21 22 \begin{eqnarray} 23 - \triangle U - \nabla_y \Omega & = & 0 \\ 24 - \triangle V + \nabla_x\Omega & = & 0 \\ 25 - \triangle \Omega + \nabla \cdot ([U*\Omega,V*\Omega]) - GR* \nabla_x T & = & 0 \\ 26 - \triangle T + PR* \nabla \cdot ([U*T,V*T]) & = & 0 27 \end{eqnarray} 28 29 in the unit square, which is uniformly discretized in each of x and y in this simple encoding. 30 31 No-slip, rigid-wall Dirichlet conditions are used for $ [U,V]$. 32 Dirichlet conditions are used for Omega, based on the definition of 33 vorticity: $ \Omega = - \nabla_y U + \nabla_x V$, where along each 34 constant coordinate boundary, the tangential derivative is zero. 35 Dirichlet conditions are used for T on the left and right walls, 36 and insulation homogeneous Neumann conditions are used for T on 37 the top and bottom walls. 38 39 A finite difference approximation with the usual 5-point stencil 40 is used to discretize the boundary value problem to obtain a 41 nonlinear system of equations. Upwinding is used for the divergence 42 (convective) terms and central for the gradient (source) terms. 43 44 The Jacobian can be either 45 * formed via finite differencing using coloring (the default), or 46 * applied matrix-free via the option -snes_mf 47 (for larger grid problems this variant may not converge 48 without a preconditioner due to ill-conditioning). 49 50 ------------------------------------------------------------------------F*/ 51 52 /* 53 Include "petscdmda.h" so that we can use distributed arrays (DMDAs). 54 Include "petscsnes.h" so that we can use SNES solvers. Note that this 55 file automatically includes: 56 petscsys.h - base PETSc routines petscvec.h - vectors 57 petscmat.h - matrices 58 petscis.h - index sets petscksp.h - Krylov subspace methods 59 petscviewer.h - viewers petscpc.h - preconditioners 60 petscksp.h - linear solvers 61 */ 62 #if defined(PETSC_APPLE_FRAMEWORK) 63 #import <PETSc/petscsnes.h> 64 #import <PETSc/petscdmda.h> 65 #else 66 #include <petscsnes.h> 67 #include <petscdm.h> 68 #include <petscdmda.h> 69 #endif 70 71 /* 72 User-defined routines and data structures 73 */ 74 typedef struct { 75 PetscScalar u,v,omega,temp; 76 } Field; 77 78 PetscErrorCode FormFunctionLocal(DMDALocalInfo*,Field**,Field**,void*); 79 80 typedef struct { 81 PetscReal lidvelocity,prandtl,grashof; /* physical parameters */ 82 PetscBool draw_contours; /* flag - 1 indicates drawing contours */ 83 } AppCtx; 84 85 extern PetscErrorCode FormInitialGuess(AppCtx*,DM,Vec); 86 extern PetscErrorCode NonlinearGS(SNES,Vec,Vec,void*); 87 88 int main(int argc,char **argv) 89 { 90 AppCtx user; /* user-defined work context */ 91 PetscInt mx,my,its; 92 MPI_Comm comm; 93 SNES snes; 94 DM da; 95 Vec x; 96 97 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 98 99 PetscFunctionBeginUser; 100 comm = PETSC_COMM_WORLD; 101 PetscCall(SNESCreate(comm,&snes)); 102 103 /* 104 Create distributed array object to manage parallel grid and vectors 105 for principal unknowns (x) and governing residuals (f) 106 */ 107 PetscCall(DMDACreate2d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,4,4,PETSC_DECIDE,PETSC_DECIDE,4,1,0,0,&da)); 108 PetscCall(DMSetFromOptions(da)); 109 PetscCall(DMSetUp(da)); 110 PetscCall(SNESSetDM(snes,(DM)da)); 111 PetscCall(SNESSetNGS(snes, NonlinearGS, (void*)&user)); 112 113 PetscCall(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)); 114 /* 115 Problem parameters (velocity of lid, prandtl, and grashof numbers) 116 */ 117 user.lidvelocity = 1.0/(mx*my); 118 user.prandtl = 1.0; 119 user.grashof = 1.0; 120 121 PetscCall(PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL)); 122 PetscCall(PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL)); 123 PetscCall(PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL)); 124 PetscCall(PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours)); 125 126 PetscCall(DMDASetFieldName(da,0,"x_velocity")); 127 PetscCall(DMDASetFieldName(da,1,"y_velocity")); 128 PetscCall(DMDASetFieldName(da,2,"Omega")); 129 PetscCall(DMDASetFieldName(da,3,"temperature")); 130 131 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 132 Create user context, set problem data, create vector data structures. 133 Also, compute the initial guess. 134 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 135 136 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 137 Create nonlinear solver context 138 139 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 140 PetscCall(DMSetApplicationContext(da,&user)); 141 PetscCall(DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user)); 142 PetscCall(SNESSetFromOptions(snes)); 143 PetscCall(PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof)); 144 145 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 146 Solve the nonlinear system 147 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 148 PetscCall(DMCreateGlobalVector(da,&x)); 149 PetscCall(FormInitialGuess(&user,da,x)); 150 151 PetscCall(SNESSolve(snes,NULL,x)); 152 153 PetscCall(SNESGetIterationNumber(snes,&its)); 154 PetscCall(PetscPrintf(comm,"Number of SNES iterations = %D\n", its)); 155 156 /* 157 Visualize solution 158 */ 159 if (user.draw_contours) { 160 PetscCall(VecView(x,PETSC_VIEWER_DRAW_WORLD)); 161 } 162 163 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 164 Free work space. All PETSc objects should be destroyed when they 165 are no longer needed. 166 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 167 PetscCall(VecDestroy(&x)); 168 PetscCall(DMDestroy(&da)); 169 PetscCall(SNESDestroy(&snes)); 170 PetscCall(PetscFinalize()); 171 return 0; 172 } 173 174 /* ------------------------------------------------------------------- */ 175 176 /* 177 FormInitialGuess - Forms initial approximation. 178 179 Input Parameters: 180 user - user-defined application context 181 X - vector 182 183 Output Parameter: 184 X - vector 185 */ 186 PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X) 187 { 188 PetscInt i,j,mx,xs,ys,xm,ym; 189 PetscReal grashof,dx; 190 Field **x; 191 192 PetscFunctionBeginUser; 193 grashof = user->grashof; 194 195 PetscCall(DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0)); 196 dx = 1.0/(mx-1); 197 198 /* 199 Get local grid boundaries (for 2-dimensional DMDA): 200 xs, ys - starting grid indices (no ghost points) 201 xm, ym - widths of local grid (no ghost points) 202 */ 203 PetscCall(DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL)); 204 205 /* 206 Get a pointer to vector data. 207 - For default PETSc vectors, VecGetArray() returns a pointer to 208 the data array. Otherwise, the routine is implementation dependent. 209 - You MUST call VecRestoreArray() when you no longer need access to 210 the array. 211 */ 212 PetscCall(DMDAVecGetArrayWrite(da,X,&x)); 213 214 /* 215 Compute initial guess over the locally owned part of the grid 216 Initial condition is motionless fluid and equilibrium temperature 217 */ 218 for (j=ys; j<ys+ym; j++) { 219 for (i=xs; i<xs+xm; i++) { 220 x[j][i].u = 0.0; 221 x[j][i].v = 0.0; 222 x[j][i].omega = 0.0; 223 x[j][i].temp = (grashof>0)*i*dx; 224 } 225 } 226 227 /* 228 Restore vector 229 */ 230 PetscCall(DMDAVecRestoreArrayWrite(da,X,&x)); 231 PetscFunctionReturn(0); 232 } 233 234 PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) 235 { 236 AppCtx *user = (AppCtx*)ptr; 237 PetscInt xints,xinte,yints,yinte,i,j; 238 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 239 PetscReal grashof,prandtl,lid; 240 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 241 242 PetscFunctionBeginUser; 243 grashof = user->grashof; 244 prandtl = user->prandtl; 245 lid = user->lidvelocity; 246 247 /* 248 Define mesh intervals ratios for uniform grid. 249 250 Note: FD formulae below are normalized by multiplying through by 251 local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions. 252 253 */ 254 dhx = (PetscReal)(info->mx-1); dhy = (PetscReal)(info->my-1); 255 hx = 1.0/dhx; hy = 1.0/dhy; 256 hxdhy = hx*dhy; hydhx = hy*dhx; 257 258 xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; 259 260 /* Test whether we are on the bottom edge of the global array */ 261 if (yints == 0) { 262 j = 0; 263 yints = yints + 1; 264 /* bottom edge */ 265 for (i=info->xs; i<info->xs+info->xm; i++) { 266 f[j][i].u = x[j][i].u; 267 f[j][i].v = x[j][i].v; 268 f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy; 269 f[j][i].temp = x[j][i].temp-x[j+1][i].temp; 270 } 271 } 272 273 /* Test whether we are on the top edge of the global array */ 274 if (yinte == info->my) { 275 j = info->my - 1; 276 yinte = yinte - 1; 277 /* top edge */ 278 for (i=info->xs; i<info->xs+info->xm; i++) { 279 f[j][i].u = x[j][i].u - lid; 280 f[j][i].v = x[j][i].v; 281 f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][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 left edge of the global array */ 287 if (xints == 0) { 288 i = 0; 289 xints = xints + 1; 290 /* left edge */ 291 for (j=info->ys; j<info->ys+info->ym; j++) { 292 f[j][i].u = x[j][i].u; 293 f[j][i].v = x[j][i].v; 294 f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx; 295 f[j][i].temp = x[j][i].temp; 296 } 297 } 298 299 /* Test whether we are on the right edge of the global array */ 300 if (xinte == info->mx) { 301 i = info->mx - 1; 302 xinte = xinte - 1; 303 /* right 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].v - x[j][i-1].v)*dhx; 308 f[j][i].temp = x[j][i].temp - (PetscReal)(grashof>0); 309 } 310 } 311 312 /* Compute over the interior points */ 313 for (j=yints; j<yinte; j++) { 314 for (i=xints; i<xinte; i++) { 315 316 /* 317 convective coefficients for upwinding 318 */ 319 vx = x[j][i].u; avx = PetscAbsScalar(vx); 320 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 321 vy = x[j][i].v; avy = PetscAbsScalar(vy); 322 vyp = .5*(vy+avy); vym = .5*(vy-avy); 323 324 /* U velocity */ 325 u = x[j][i].u; 326 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 327 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 328 f[j][i].u = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx; 329 330 /* V velocity */ 331 u = x[j][i].v; 332 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 333 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 334 f[j][i].v = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy; 335 336 /* Omega */ 337 u = x[j][i].omega; 338 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 339 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 340 f[j][i].omega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 341 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 342 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy; 343 344 /* Temperature */ 345 u = x[j][i].temp; 346 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 347 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 348 f[j][i].temp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy + 349 (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx); 350 } 351 } 352 353 /* 354 Flop count (multiply-adds are counted as 2 operations) 355 */ 356 PetscCall(PetscLogFlops(84.0*info->ym*info->xm)); 357 PetscFunctionReturn(0); 358 } 359 360 /* 361 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 362 */ 363 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 364 { 365 DMDALocalInfo info; 366 Field **x,**b; 367 Vec localX, localB; 368 DM da; 369 PetscInt xints,xinte,yints,yinte,i,j,k,l; 370 PetscInt max_its,tot_its; 371 PetscInt sweeps; 372 PetscReal rtol,atol,stol; 373 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 374 PetscReal grashof,prandtl,lid; 375 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 376 PetscScalar fu, fv, fomega, ftemp; 377 PetscScalar dfudu; 378 PetscScalar dfvdv; 379 PetscScalar dfodu, dfodv, dfodo; 380 PetscScalar dftdu, dftdv, dftdt; 381 PetscScalar yu=0, yv=0, yo=0, yt=0; 382 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 383 PetscBool ptconverged; 384 PetscReal pfnorm,pfnorm0,pynorm,pxnorm; 385 AppCtx *user = (AppCtx*)ctx; 386 387 PetscFunctionBeginUser; 388 grashof = user->grashof; 389 prandtl = user->prandtl; 390 lid = user->lidvelocity; 391 tot_its = 0; 392 PetscCall(SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its)); 393 PetscCall(SNESNGSGetSweeps(snes,&sweeps)); 394 PetscCall(SNESGetDM(snes,(DM*)&da)); 395 PetscCall(DMGetLocalVector(da,&localX)); 396 if (B) { 397 PetscCall(DMGetLocalVector(da,&localB)); 398 } 399 /* 400 Scatter ghost points to local vector, using the 2-step process 401 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 402 */ 403 PetscCall(DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX)); 404 PetscCall(DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX)); 405 if (B) { 406 PetscCall(DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB)); 407 PetscCall(DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB)); 408 } 409 PetscCall(DMDAGetLocalInfo(da,&info)); 410 PetscCall(DMDAVecGetArrayWrite(da,localX,&x)); 411 if (B) { 412 PetscCall(DMDAVecGetArrayRead(da,localB,&b)); 413 } 414 /* looks like a combination of the formfunction / formjacobian routines */ 415 dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); 416 hx = 1.0/dhx; hy = 1.0/dhy; 417 hxdhy = hx*dhy; hydhx = hy*dhx; 418 419 xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; 420 421 /* Set the boundary conditions on the momentum equations */ 422 /* Test whether we are on the bottom edge of the global array */ 423 if (yints == 0) { 424 j = 0; 425 /* bottom edge */ 426 for (i=info.xs; i<info.xs+info.xm; i++) { 427 428 if (B) { 429 bjiu = b[j][i].u; 430 bjiv = b[j][i].v; 431 } else { 432 bjiu = 0.0; 433 bjiv = 0.0; 434 } 435 x[j][i].u = 0.0 + bjiu; 436 x[j][i].v = 0.0 + bjiv; 437 } 438 } 439 440 /* Test whether we are on the top edge of the global array */ 441 if (yinte == info.my) { 442 j = info.my - 1; 443 /* top edge */ 444 for (i=info.xs; i<info.xs+info.xm; i++) { 445 if (B) { 446 bjiu = b[j][i].u; 447 bjiv = b[j][i].v; 448 } else { 449 bjiu = 0.0; 450 bjiv = 0.0; 451 } 452 x[j][i].u = lid + bjiu; 453 x[j][i].v = bjiv; 454 } 455 } 456 457 /* Test whether we are on the left edge of the global array */ 458 if (xints == 0) { 459 i = 0; 460 /* left edge */ 461 for (j=info.ys; j<info.ys+info.ym; j++) { 462 if (B) { 463 bjiu = b[j][i].u; 464 bjiv = b[j][i].v; 465 } else { 466 bjiu = 0.0; 467 bjiv = 0.0; 468 } 469 x[j][i].u = 0.0 + bjiu; 470 x[j][i].v = 0.0 + bjiv; 471 } 472 } 473 474 /* Test whether we are on the right edge of the global array */ 475 if (xinte == info.mx) { 476 i = info.mx - 1; 477 /* right edge */ 478 for (j=info.ys; j<info.ys+info.ym; j++) { 479 if (B) { 480 bjiu = b[j][i].u; 481 bjiv = b[j][i].v; 482 } else { 483 bjiu = 0.0; 484 bjiv = 0.0; 485 } 486 x[j][i].u = 0.0 + bjiu; 487 x[j][i].v = 0.0 + bjiv; 488 } 489 } 490 491 for (k=0; k < sweeps; k++) { 492 for (j=info.ys; j<info.ys + info.ym; j++) { 493 for (i=info.xs; i<info.xs + info.xm; i++) { 494 ptconverged = PETSC_FALSE; 495 pfnorm0 = 0.0; 496 fu = 0.0; 497 fv = 0.0; 498 fomega = 0.0; 499 ftemp = 0.0; 500 /* Run Newton's method on a single grid point */ 501 for (l = 0; l < max_its && !ptconverged; l++) { 502 if (B) { 503 bjiu = b[j][i].u; 504 bjiv = b[j][i].v; 505 bjiomega = b[j][i].omega; 506 bjitemp = b[j][i].temp; 507 } else { 508 bjiu = 0.0; 509 bjiv = 0.0; 510 bjiomega = 0.0; 511 bjitemp = 0.0; 512 } 513 514 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) { 515 /* U velocity */ 516 u = x[j][i].u; 517 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 518 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 519 fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu; 520 dfudu = 2.0*(hydhx + hxdhy); 521 /* V velocity */ 522 u = x[j][i].v; 523 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 524 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 525 fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv; 526 dfvdv = 2.0*(hydhx + hxdhy); 527 /* 528 convective coefficients for upwinding 529 */ 530 vx = x[j][i].u; avx = PetscAbsScalar(vx); 531 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 532 vy = x[j][i].v; avy = PetscAbsScalar(vy); 533 vyp = .5*(vy+avy); vym = .5*(vy-avy); 534 /* Omega */ 535 u = x[j][i].omega; 536 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 537 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 538 fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 539 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 540 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega; 541 /* convective coefficient derivatives */ 542 dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx); 543 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy; 544 else dfodu = (x[j][i+1].omega - u)*hy; 545 546 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; 547 else dfodv = (x[j+1][i].omega - u)*hx; 548 549 /* Temperature */ 550 u = x[j][i].temp; 551 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 552 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 553 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; 554 dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); 555 if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; 556 else dftdu = prandtl*(x[j][i+1].temp - u)*hy; 557 558 if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; 559 else dftdv = prandtl*(x[j+1][i].temp - u)*hx; 560 561 /* invert the system: 562 [ dfu / du 0 0 0 ][yu] = [fu] 563 [ 0 dfv / dv 0 0 ][yv] [fv] 564 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 565 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 566 by simple back-substitution 567 */ 568 yu = fu / dfudu; 569 yv = fv / dfvdv; 570 yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; 571 yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; 572 573 x[j][i].u = x[j][i].u - yu; 574 x[j][i].v = x[j][i].v - yv; 575 x[j][i].temp = x[j][i].temp - yt; 576 x[j][i].omega = x[j][i].omega - yo; 577 } 578 if (i == 0) { 579 fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; 580 ftemp = x[j][i].temp - bjitemp; 581 yo = fomega; 582 yt = ftemp; 583 x[j][i].omega = x[j][i].omega - fomega; 584 x[j][i].temp = x[j][i].temp - ftemp; 585 } 586 if (i == info.mx - 1) { 587 fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; 588 ftemp = x[j][i].temp - (PetscReal)(grashof>0) - 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 (j == 0) { 595 fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; 596 ftemp = x[j][i].temp-x[j+1][i].temp - 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 == info.my - 1) { 603 fomega = x[j][i].omega + (x[j][i].u - x[j-1][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 tot_its++; 611 pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); 612 pfnorm = PetscSqrtReal(pfnorm); 613 pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); 614 pynorm = PetscSqrtReal(pynorm); 615 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); 616 pxnorm = PetscSqrtReal(pxnorm); 617 if (l == 0) pfnorm0 = pfnorm; 618 if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; 619 } 620 } 621 } 622 } 623 PetscCall(DMDAVecRestoreArrayWrite(da,localX,&x)); 624 if (B) { 625 PetscCall(DMDAVecRestoreArrayRead(da,localB,&b)); 626 } 627 PetscCall(DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X)); 628 PetscCall(DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X)); 629 PetscCall(PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0))); 630 PetscCall(DMRestoreLocalVector(da,&localX)); 631 if (B) { 632 PetscCall(DMRestoreLocalVector(da,&localB)); 633 } 634 PetscFunctionReturn(0); 635 } 636 637 /*TEST 638 639 test: 640 nsize: 2 641 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 642 requires: !single 643 644 test: 645 suffix: 10 646 nsize: 3 647 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 648 requires: !single 649 650 test: 651 suffix: 11 652 nsize: 4 653 requires: pastix 654 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 655 656 test: 657 suffix: 12 658 nsize: 12 659 requires: pastix 660 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 661 662 test: 663 suffix: 13 664 nsize: 3 665 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 666 requires: !single 667 668 test: 669 suffix: 14 670 nsize: 4 671 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 672 requires: !single 673 674 test: 675 suffix: 14_ds 676 nsize: 4 677 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 678 output_file: output/ex19_2.out 679 requires: !single 680 681 test: 682 suffix: 17 683 args: -snes_monitor_short -ksp_pc_side right 684 requires: !single 685 686 test: 687 suffix: 18 688 args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right 689 requires: x !single 690 691 test: 692 suffix: 19 693 nsize: 2 694 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc 695 requires: !single 696 697 test: 698 suffix: 20 699 nsize: 2 700 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 701 requires: !single 702 703 test: 704 suffix: 2 705 nsize: 4 706 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 707 requires: !single 708 709 test: 710 suffix: 2_bcols1 711 nsize: 4 712 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 713 output_file: output/ex19_2.out 714 requires: !single 715 716 test: 717 suffix: 3 718 nsize: 4 719 requires: mumps 720 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 2 721 722 test: 723 suffix: 4 724 nsize: 12 725 requires: mumps 726 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 5 727 output_file: output/ex19_3.out 728 729 test: 730 suffix: 6 731 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 732 requires: !single 733 734 test: 735 suffix: 7 736 nsize: 3 737 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 738 739 requires: !single 740 test: 741 suffix: 8 742 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 743 requires: !single 744 745 test: 746 suffix: 9 747 nsize: 3 748 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 749 requires: !single 750 751 test: 752 suffix: aspin 753 nsize: 4 754 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 755 requires: !single 756 757 test: 758 suffix: bcgsl 759 nsize: 2 760 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 761 requires: !single 762 763 test: 764 suffix: bcols1 765 nsize: 2 766 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 767 output_file: output/ex19_1.out 768 requires: !single 769 770 test: 771 suffix: bjacobi 772 nsize: 4 773 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 774 requires: !single 775 776 test: 777 suffix: cgne 778 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 779 filter: grep -v HERMITIAN 780 requires: !single 781 782 test: 783 suffix: cgs 784 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 785 requires: !single 786 787 test: 788 suffix: composite_fieldsplit 789 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 790 requires: !single 791 792 test: 793 suffix: composite_fieldsplit_bjacobi 794 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 795 requires: !single 796 797 test: 798 suffix: composite_fieldsplit_bjacobi_2 799 nsize: 4 800 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 801 requires: !single 802 803 test: 804 suffix: composite_gs_newton 805 nsize: 2 806 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 807 requires: !single 808 809 test: 810 suffix: cuda 811 requires: cuda !single 812 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 813 814 test: 815 suffix: draw 816 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 817 requires: x !single 818 819 test: 820 suffix: drawports 821 args: -snes_monitor_solution draw::draw_ports -da_refine 1 822 output_file: output/ex19_draw.out 823 requires: x !single 824 825 test: 826 suffix: fas 827 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 100 828 requires: !single 829 830 test: 831 suffix: fas_full 832 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 100 833 requires: !single 834 835 test: 836 suffix: fdcoloring_ds 837 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 838 output_file: output/ex19_2.out 839 requires: !single 840 841 test: 842 suffix: fdcoloring_ds_baij 843 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 844 output_file: output/ex19_2.out 845 requires: !single 846 847 test: 848 suffix: fdcoloring_ds_bcols1 849 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 850 output_file: output/ex19_2.out 851 requires: !single 852 853 test: 854 suffix: fdcoloring_wp 855 args: -da_refine 3 -snes_monitor_short -pc_type mg 856 requires: !single 857 858 test: 859 suffix: fdcoloring_wp_baij 860 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 861 output_file: output/ex19_fdcoloring_wp.out 862 requires: !single 863 864 test: 865 suffix: fdcoloring_wp_bcols1 866 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 867 output_file: output/ex19_fdcoloring_wp.out 868 requires: !single 869 870 test: 871 suffix: fieldsplit_2 872 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 873 requires: !single 874 875 test: 876 suffix: fieldsplit_3 877 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 878 requires: !single 879 880 test: 881 suffix: fieldsplit_4 882 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 883 requires: !single 884 885 # HYPRE PtAP broken with complex numbers 886 test: 887 suffix: fieldsplit_hypre 888 nsize: 2 889 requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 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 891 892 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 898 899 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 904 905 # HYPRE PtAP broken with complex numbers 906 test: 907 suffix: hypre 908 nsize: 2 909 requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 910 args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned 911 912 # ibcgs is broken when using device vectors 913 test: 914 suffix: ibcgs 915 nsize: 2 916 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 917 requires: !complex !single 918 919 test: 920 suffix: kaczmarz 921 nsize: 2 922 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 923 requires: !single 924 925 test: 926 suffix: klu 927 requires: suitesparse 928 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 929 output_file: output/ex19_superlu.out 930 931 test: 932 suffix: klu_2 933 requires: suitesparse 934 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd 935 output_file: output/ex19_superlu.out 936 937 test: 938 suffix: klu_3 939 requires: suitesparse 940 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 941 output_file: output/ex19_superlu.out 942 943 test: 944 suffix: ml 945 nsize: 2 946 requires: ml 947 args: -da_refine 3 -snes_monitor_short -pc_type ml 948 949 test: 950 suffix: ngmres_fas 951 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 952 requires: !single 953 954 test: 955 suffix: ngmres_fas_gssecant 956 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 957 requires: !single 958 959 test: 960 suffix: ngmres_fas_ms 961 nsize: 2 962 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 1 963 requires: !single 964 965 test: 966 suffix: ngmres_nasm 967 nsize: 4 968 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 100 969 requires: !single 970 971 test: 972 suffix: ngs 973 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 974 requires: !single 975 976 test: 977 suffix: ngs_fd 978 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 979 requires: !single 980 981 test: 982 suffix: parms 983 nsize: 2 984 requires: parms 985 args: -pc_type parms -ksp_monitor_short -snes_view 986 987 test: 988 suffix: superlu 989 requires: superlu 990 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 991 992 test: 993 suffix: superlu_sell 994 requires: superlu 995 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 996 output_file: output/ex19_superlu.out 997 998 test: 999 suffix: superlu_dist 1000 requires: superlu_dist 1001 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1002 output_file: output/ex19_superlu.out 1003 1004 test: 1005 suffix: superlu_dist_2 1006 nsize: 2 1007 requires: superlu_dist 1008 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1009 output_file: output/ex19_superlu.out 1010 1011 test: 1012 suffix: superlu_dist_3d 1013 nsize: 4 1014 requires: superlu_dist !defined(PETSCTEST_VALGRIND) 1015 filter: grep -v iam | grep -v openMP 1016 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 1017 1018 test: 1019 suffix: superlu_equil 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 1022 1023 test: 1024 suffix: superlu_equil_sell 1025 requires: superlu 1026 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 1027 output_file: output/ex19_superlu_equil.out 1028 1029 test: 1030 suffix: tcqmr 1031 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1032 requires: !single 1033 1034 test: 1035 suffix: tfqmr 1036 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1037 requires: !single 1038 1039 test: 1040 suffix: umfpack 1041 requires: suitesparse 1042 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 1043 1044 test: 1045 suffix: tut_1 1046 nsize: 4 1047 requires: !single 1048 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1049 1050 test: 1051 suffix: tut_2 1052 nsize: 4 1053 requires: !single 1054 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1055 1056 # HYPRE PtAP broken with complex numbers 1057 test: 1058 suffix: tut_3 1059 nsize: 4 1060 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 1061 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1062 1063 test: 1064 suffix: tut_8 1065 nsize: 4 1066 requires: ml !single 1067 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1068 1069 test: 1070 suffix: tut_4 1071 nsize: 1 1072 requires: !single 1073 args: -da_refine 5 -log_view 1074 filter: head -n 2 1075 filter_output: head -n 2 1076 1077 test: 1078 suffix: tut_5 1079 nsize: 1 1080 requires: !single 1081 args: -da_refine 5 -log_view -pc_type mg 1082 filter: head -n 2 1083 filter_output: head -n 2 1084 1085 test: 1086 suffix: tut_6 1087 nsize: 4 1088 requires: !single 1089 args: -da_refine 5 -log_view 1090 filter: head -n 2 1091 filter_output: head -n 2 1092 1093 test: 1094 suffix: tut_7 1095 nsize: 4 1096 requires: !single 1097 args: -da_refine 5 -log_view -pc_type mg 1098 filter: head -n 2 1099 filter_output: head -n 2 1100 1101 test: 1102 suffix: cuda_1 1103 nsize: 1 1104 requires: cuda 1105 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 1106 1107 test: 1108 suffix: cuda_2 1109 nsize: 3 1110 requires: cuda !single 1111 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 1112 1113 test: 1114 suffix: cuda_dm_bind_below 1115 nsize: 2 1116 requires: cuda 1117 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 1118 filter: awk "/Level/ {print \$24}" 1119 1120 test: 1121 suffix: viennacl_dm_bind_below 1122 nsize: 2 1123 requires: viennacl 1124 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 1125 filter: awk "/Level/ {print \$24}" 1126 1127 test: 1128 suffix: seqbaijmkl 1129 nsize: 1 1130 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1131 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1132 1133 test: 1134 suffix: mpibaijmkl 1135 nsize: 2 1136 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1137 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1138 1139 test: 1140 suffix: cpardiso 1141 nsize: 4 1142 requires: mkl_cpardiso 1143 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1144 1145 test: 1146 suffix: logviewmemory 1147 requires: defined(PETSC_USE_LOG) !defined(PETSCTEST_VALGRIND) 1148 args: -log_view -log_view_memory -da_refine 4 1149 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1150 1151 test: 1152 suffix: fs 1153 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 1154 1155 test: 1156 suffix: asm_matconvert 1157 args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view 1158 1159 test: 1160 suffix: euclid 1161 nsize: 2 1162 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1163 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid 1164 1165 test: 1166 suffix: euclid_bj 1167 nsize: 2 1168 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1169 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj 1170 1171 test: 1172 suffix: euclid_droptolerance 1173 nsize: 1 1174 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1175 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_droptolerance .1 1176 1177 TEST*/ 1178