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 PetscFunctionBeginUser; 98 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 99 comm = PETSC_COMM_WORLD; 100 PetscCall(SNESCreate(comm,&snes)); 101 102 /* 103 Create distributed array object to manage parallel grid and vectors 104 for principal unknowns (x) and governing residuals (f) 105 */ 106 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)); 107 PetscCall(DMSetFromOptions(da)); 108 PetscCall(DMSetUp(da)); 109 PetscCall(SNESSetDM(snes,(DM)da)); 110 PetscCall(SNESSetNGS(snes, NonlinearGS, (void*)&user)); 111 112 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)); 113 /* 114 Problem parameters (velocity of lid, prandtl, and grashof numbers) 115 */ 116 user.lidvelocity = 1.0/(mx*my); 117 user.prandtl = 1.0; 118 user.grashof = 1.0; 119 120 PetscCall(PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL)); 121 PetscCall(PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL)); 122 PetscCall(PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL)); 123 PetscCall(PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours)); 124 125 PetscCall(DMDASetFieldName(da,0,"x_velocity")); 126 PetscCall(DMDASetFieldName(da,1,"y_velocity")); 127 PetscCall(DMDASetFieldName(da,2,"Omega")); 128 PetscCall(DMDASetFieldName(da,3,"temperature")); 129 130 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 131 Create user context, set problem data, create vector data structures. 132 Also, compute the initial guess. 133 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 134 135 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 136 Create nonlinear solver context 137 138 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 139 PetscCall(DMSetApplicationContext(da,&user)); 140 PetscCall(DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user)); 141 PetscCall(SNESSetFromOptions(snes)); 142 PetscCall(PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof)); 143 144 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 145 Solve the nonlinear system 146 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 147 PetscCall(DMCreateGlobalVector(da,&x)); 148 PetscCall(FormInitialGuess(&user,da,x)); 149 150 PetscCall(SNESSolve(snes,NULL,x)); 151 152 PetscCall(SNESGetIterationNumber(snes,&its)); 153 PetscCall(PetscPrintf(comm,"Number of SNES iterations = %" PetscInt_FMT "\n", its)); 154 155 /* 156 Visualize solution 157 */ 158 if (user.draw_contours) PetscCall(VecView(x,PETSC_VIEWER_DRAW_WORLD)); 159 160 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 161 Free work space. All PETSc objects should be destroyed when they 162 are no longer needed. 163 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 164 PetscCall(VecDestroy(&x)); 165 PetscCall(DMDestroy(&da)); 166 PetscCall(SNESDestroy(&snes)); 167 PetscCall(PetscFinalize()); 168 return 0; 169 } 170 171 /* ------------------------------------------------------------------- */ 172 173 /* 174 FormInitialGuess - Forms initial approximation. 175 176 Input Parameters: 177 user - user-defined application context 178 X - vector 179 180 Output Parameter: 181 X - vector 182 */ 183 PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X) 184 { 185 PetscInt i,j,mx,xs,ys,xm,ym; 186 PetscReal grashof,dx; 187 Field **x; 188 189 PetscFunctionBeginUser; 190 grashof = user->grashof; 191 192 PetscCall(DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0)); 193 dx = 1.0/(mx-1); 194 195 /* 196 Get local grid boundaries (for 2-dimensional DMDA): 197 xs, ys - starting grid indices (no ghost points) 198 xm, ym - widths of local grid (no ghost points) 199 */ 200 PetscCall(DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL)); 201 202 /* 203 Get a pointer to vector data. 204 - For default PETSc vectors, VecGetArray() returns a pointer to 205 the data array. Otherwise, the routine is implementation dependent. 206 - You MUST call VecRestoreArray() when you no longer need access to 207 the array. 208 */ 209 PetscCall(DMDAVecGetArrayWrite(da,X,&x)); 210 211 /* 212 Compute initial guess over the locally owned part of the grid 213 Initial condition is motionless fluid and equilibrium temperature 214 */ 215 for (j=ys; j<ys+ym; j++) { 216 for (i=xs; i<xs+xm; i++) { 217 x[j][i].u = 0.0; 218 x[j][i].v = 0.0; 219 x[j][i].omega = 0.0; 220 x[j][i].temp = (grashof>0)*i*dx; 221 } 222 } 223 224 /* 225 Restore vector 226 */ 227 PetscCall(DMDAVecRestoreArrayWrite(da,X,&x)); 228 PetscFunctionReturn(0); 229 } 230 231 PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) 232 { 233 AppCtx *user = (AppCtx*)ptr; 234 PetscInt xints,xinte,yints,yinte,i,j; 235 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 236 PetscReal grashof,prandtl,lid; 237 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 238 239 PetscFunctionBeginUser; 240 grashof = user->grashof; 241 prandtl = user->prandtl; 242 lid = user->lidvelocity; 243 244 /* 245 Define mesh intervals ratios for uniform grid. 246 247 Note: FD formulae below are normalized by multiplying through by 248 local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions. 249 250 */ 251 dhx = (PetscReal)(info->mx-1); dhy = (PetscReal)(info->my-1); 252 hx = 1.0/dhx; hy = 1.0/dhy; 253 hxdhy = hx*dhy; hydhx = hy*dhx; 254 255 xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; 256 257 /* Test whether we are on the bottom edge of the global array */ 258 if (yints == 0) { 259 j = 0; 260 yints = yints + 1; 261 /* bottom edge */ 262 for (i=info->xs; i<info->xs+info->xm; i++) { 263 f[j][i].u = x[j][i].u; 264 f[j][i].v = x[j][i].v; 265 f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy; 266 f[j][i].temp = x[j][i].temp-x[j+1][i].temp; 267 } 268 } 269 270 /* Test whether we are on the top edge of the global array */ 271 if (yinte == info->my) { 272 j = info->my - 1; 273 yinte = yinte - 1; 274 /* top edge */ 275 for (i=info->xs; i<info->xs+info->xm; i++) { 276 f[j][i].u = x[j][i].u - lid; 277 f[j][i].v = x[j][i].v; 278 f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy; 279 f[j][i].temp = x[j][i].temp-x[j-1][i].temp; 280 } 281 } 282 283 /* Test whether we are on the left edge of the global array */ 284 if (xints == 0) { 285 i = 0; 286 xints = xints + 1; 287 /* left edge */ 288 for (j=info->ys; j<info->ys+info->ym; j++) { 289 f[j][i].u = x[j][i].u; 290 f[j][i].v = x[j][i].v; 291 f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx; 292 f[j][i].temp = x[j][i].temp; 293 } 294 } 295 296 /* Test whether we are on the right edge of the global array */ 297 if (xinte == info->mx) { 298 i = info->mx - 1; 299 xinte = xinte - 1; 300 /* right edge */ 301 for (j=info->ys; j<info->ys+info->ym; j++) { 302 f[j][i].u = x[j][i].u; 303 f[j][i].v = x[j][i].v; 304 f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx; 305 f[j][i].temp = x[j][i].temp - (PetscReal)(grashof>0); 306 } 307 } 308 309 /* Compute over the interior points */ 310 for (j=yints; j<yinte; j++) { 311 for (i=xints; i<xinte; i++) { 312 313 /* 314 convective coefficients for upwinding 315 */ 316 vx = x[j][i].u; avx = PetscAbsScalar(vx); 317 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 318 vy = x[j][i].v; avy = PetscAbsScalar(vy); 319 vyp = .5*(vy+avy); vym = .5*(vy-avy); 320 321 /* U velocity */ 322 u = x[j][i].u; 323 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 324 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 325 f[j][i].u = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx; 326 327 /* V velocity */ 328 u = x[j][i].v; 329 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 330 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 331 f[j][i].v = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy; 332 333 /* Omega */ 334 u = x[j][i].omega; 335 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 336 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 337 f[j][i].omega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 338 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 339 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy; 340 341 /* Temperature */ 342 u = x[j][i].temp; 343 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 344 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 345 f[j][i].temp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy + 346 (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx); 347 } 348 } 349 350 /* 351 Flop count (multiply-adds are counted as 2 operations) 352 */ 353 PetscCall(PetscLogFlops(84.0*info->ym*info->xm)); 354 PetscFunctionReturn(0); 355 } 356 357 /* 358 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 359 */ 360 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 361 { 362 DMDALocalInfo info; 363 Field **x,**b; 364 Vec localX, localB; 365 DM da; 366 PetscInt xints,xinte,yints,yinte,i,j,k,l; 367 PetscInt max_its,tot_its; 368 PetscInt sweeps; 369 PetscReal rtol,atol,stol; 370 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 371 PetscReal grashof,prandtl,lid; 372 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 373 PetscScalar fu, fv, fomega, ftemp; 374 PetscScalar dfudu; 375 PetscScalar dfvdv; 376 PetscScalar dfodu, dfodv, dfodo; 377 PetscScalar dftdu, dftdv, dftdt; 378 PetscScalar yu=0, yv=0, yo=0, yt=0; 379 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 380 PetscBool ptconverged; 381 PetscReal pfnorm,pfnorm0,pynorm,pxnorm; 382 AppCtx *user = (AppCtx*)ctx; 383 384 PetscFunctionBeginUser; 385 grashof = user->grashof; 386 prandtl = user->prandtl; 387 lid = user->lidvelocity; 388 tot_its = 0; 389 PetscCall(SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its)); 390 PetscCall(SNESNGSGetSweeps(snes,&sweeps)); 391 PetscCall(SNESGetDM(snes,(DM*)&da)); 392 PetscCall(DMGetLocalVector(da,&localX)); 393 if (B) { 394 PetscCall(DMGetLocalVector(da,&localB)); 395 } 396 /* 397 Scatter ghost points to local vector, using the 2-step process 398 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 399 */ 400 PetscCall(DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX)); 401 PetscCall(DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX)); 402 if (B) { 403 PetscCall(DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB)); 404 PetscCall(DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB)); 405 } 406 PetscCall(DMDAGetLocalInfo(da,&info)); 407 PetscCall(DMDAVecGetArrayWrite(da,localX,&x)); 408 if (B) { 409 PetscCall(DMDAVecGetArrayRead(da,localB,&b)); 410 } 411 /* looks like a combination of the formfunction / formjacobian routines */ 412 dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); 413 hx = 1.0/dhx; hy = 1.0/dhy; 414 hxdhy = hx*dhy; hydhx = hy*dhx; 415 416 xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; 417 418 /* Set the boundary conditions on the momentum equations */ 419 /* Test whether we are on the bottom edge of the global array */ 420 if (yints == 0) { 421 j = 0; 422 /* bottom edge */ 423 for (i=info.xs; i<info.xs+info.xm; i++) { 424 425 if (B) { 426 bjiu = b[j][i].u; 427 bjiv = b[j][i].v; 428 } else { 429 bjiu = 0.0; 430 bjiv = 0.0; 431 } 432 x[j][i].u = 0.0 + bjiu; 433 x[j][i].v = 0.0 + bjiv; 434 } 435 } 436 437 /* Test whether we are on the top edge of the global array */ 438 if (yinte == info.my) { 439 j = info.my - 1; 440 /* top edge */ 441 for (i=info.xs; i<info.xs+info.xm; i++) { 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 = lid + bjiu; 450 x[j][i].v = bjiv; 451 } 452 } 453 454 /* Test whether we are on the left edge of the global array */ 455 if (xints == 0) { 456 i = 0; 457 /* left edge */ 458 for (j=info.ys; j<info.ys+info.ym; j++) { 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 = 0.0 + bjiu; 467 x[j][i].v = 0.0 + bjiv; 468 } 469 } 470 471 /* Test whether we are on the right edge of the global array */ 472 if (xinte == info.mx) { 473 i = info.mx - 1; 474 /* right 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 for (k=0; k < sweeps; k++) { 489 for (j=info.ys; j<info.ys + info.ym; j++) { 490 for (i=info.xs; i<info.xs + info.xm; i++) { 491 ptconverged = PETSC_FALSE; 492 pfnorm0 = 0.0; 493 fu = 0.0; 494 fv = 0.0; 495 fomega = 0.0; 496 ftemp = 0.0; 497 /* Run Newton's method on a single grid point */ 498 for (l = 0; l < max_its && !ptconverged; l++) { 499 if (B) { 500 bjiu = b[j][i].u; 501 bjiv = b[j][i].v; 502 bjiomega = b[j][i].omega; 503 bjitemp = b[j][i].temp; 504 } else { 505 bjiu = 0.0; 506 bjiv = 0.0; 507 bjiomega = 0.0; 508 bjitemp = 0.0; 509 } 510 511 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) { 512 /* U velocity */ 513 u = x[j][i].u; 514 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 515 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 516 fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu; 517 dfudu = 2.0*(hydhx + hxdhy); 518 /* V velocity */ 519 u = x[j][i].v; 520 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 521 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 522 fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv; 523 dfvdv = 2.0*(hydhx + hxdhy); 524 /* 525 convective coefficients for upwinding 526 */ 527 vx = x[j][i].u; avx = PetscAbsScalar(vx); 528 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 529 vy = x[j][i].v; avy = PetscAbsScalar(vy); 530 vyp = .5*(vy+avy); vym = .5*(vy-avy); 531 /* Omega */ 532 u = x[j][i].omega; 533 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 534 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 535 fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 536 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 537 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega; 538 /* convective coefficient derivatives */ 539 dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx); 540 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy; 541 else dfodu = (x[j][i+1].omega - u)*hy; 542 543 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; 544 else dfodv = (x[j+1][i].omega - u)*hx; 545 546 /* Temperature */ 547 u = x[j][i].temp; 548 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 549 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 550 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; 551 dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); 552 if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; 553 else dftdu = prandtl*(x[j][i+1].temp - u)*hy; 554 555 if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; 556 else dftdv = prandtl*(x[j+1][i].temp - u)*hx; 557 558 /* invert the system: 559 [ dfu / du 0 0 0 ][yu] = [fu] 560 [ 0 dfv / dv 0 0 ][yv] [fv] 561 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 562 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 563 by simple back-substitution 564 */ 565 yu = fu / dfudu; 566 yv = fv / dfvdv; 567 yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; 568 yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; 569 570 x[j][i].u = x[j][i].u - yu; 571 x[j][i].v = x[j][i].v - yv; 572 x[j][i].temp = x[j][i].temp - yt; 573 x[j][i].omega = x[j][i].omega - yo; 574 } 575 if (i == 0) { 576 fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; 577 ftemp = x[j][i].temp - bjitemp; 578 yo = fomega; 579 yt = ftemp; 580 x[j][i].omega = x[j][i].omega - fomega; 581 x[j][i].temp = x[j][i].temp - ftemp; 582 } 583 if (i == info.mx - 1) { 584 fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; 585 ftemp = x[j][i].temp - (PetscReal)(grashof>0) - bjitemp; 586 yo = fomega; 587 yt = ftemp; 588 x[j][i].omega = x[j][i].omega - fomega; 589 x[j][i].temp = x[j][i].temp - ftemp; 590 } 591 if (j == 0) { 592 fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; 593 ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp; 594 yo = fomega; 595 yt = ftemp; 596 x[j][i].omega = x[j][i].omega - fomega; 597 x[j][i].temp = x[j][i].temp - ftemp; 598 } 599 if (j == info.my - 1) { 600 fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega; 601 ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp; 602 yo = fomega; 603 yt = ftemp; 604 x[j][i].omega = x[j][i].omega - fomega; 605 x[j][i].temp = x[j][i].temp - ftemp; 606 } 607 tot_its++; 608 pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); 609 pfnorm = PetscSqrtReal(pfnorm); 610 pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); 611 pynorm = PetscSqrtReal(pynorm); 612 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); 613 pxnorm = PetscSqrtReal(pxnorm); 614 if (l == 0) pfnorm0 = pfnorm; 615 if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; 616 } 617 } 618 } 619 } 620 PetscCall(DMDAVecRestoreArrayWrite(da,localX,&x)); 621 if (B) { 622 PetscCall(DMDAVecRestoreArrayRead(da,localB,&b)); 623 } 624 PetscCall(DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X)); 625 PetscCall(DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X)); 626 PetscCall(PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0))); 627 PetscCall(DMRestoreLocalVector(da,&localX)); 628 if (B) { 629 PetscCall(DMRestoreLocalVector(da,&localB)); 630 } 631 PetscFunctionReturn(0); 632 } 633 634 /*TEST 635 636 test: 637 nsize: 2 638 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 639 requires: !single 640 641 test: 642 suffix: 10 643 nsize: 3 644 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 645 requires: !single 646 647 test: 648 suffix: 11 649 nsize: 4 650 requires: pastix 651 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 652 653 test: 654 suffix: 12 655 nsize: 12 656 requires: pastix 657 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 658 659 test: 660 suffix: 13 661 nsize: 3 662 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 663 requires: !single 664 665 test: 666 suffix: 14 667 nsize: 4 668 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 669 requires: !single 670 671 test: 672 suffix: 14_ds 673 nsize: 4 674 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 675 output_file: output/ex19_2.out 676 requires: !single 677 678 test: 679 suffix: 17 680 args: -snes_monitor_short -ksp_pc_side right 681 requires: !single 682 683 test: 684 suffix: 18 685 args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right 686 requires: x !single 687 688 test: 689 suffix: 19 690 nsize: 2 691 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc 692 requires: !single 693 694 test: 695 suffix: 20 696 nsize: 2 697 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 698 requires: !single 699 700 test: 701 suffix: 2 702 nsize: 4 703 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 704 requires: !single 705 706 test: 707 suffix: 2_bcols1 708 nsize: 4 709 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 710 output_file: output/ex19_2.out 711 requires: !single 712 713 test: 714 suffix: 3 715 nsize: 4 716 requires: mumps 717 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 2 718 719 test: 720 suffix: 4 721 nsize: 12 722 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 5 724 output_file: output/ex19_3.out 725 726 test: 727 suffix: 6 728 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 729 requires: !single 730 731 test: 732 suffix: 7 733 nsize: 3 734 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 735 736 requires: !single 737 test: 738 suffix: 8 739 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 740 requires: !single 741 742 test: 743 suffix: 9 744 nsize: 3 745 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 746 requires: !single 747 748 test: 749 suffix: aspin 750 nsize: 4 751 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 752 requires: !single 753 754 test: 755 suffix: bcgsl 756 nsize: 2 757 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 758 requires: !single 759 760 test: 761 suffix: bcols1 762 nsize: 2 763 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 764 output_file: output/ex19_1.out 765 requires: !single 766 767 test: 768 suffix: bjacobi 769 nsize: 4 770 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 771 requires: !single 772 773 test: 774 suffix: cgne 775 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 776 filter: grep -v HERMITIAN 777 requires: !single 778 779 test: 780 suffix: cgs 781 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 782 requires: !single 783 784 test: 785 suffix: composite_fieldsplit 786 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 787 requires: !single 788 789 test: 790 suffix: composite_fieldsplit_bjacobi 791 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 792 requires: !single 793 794 test: 795 suffix: composite_fieldsplit_bjacobi_2 796 nsize: 4 797 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_gs_newton 802 nsize: 2 803 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 804 requires: !single 805 806 test: 807 suffix: cuda 808 requires: cuda !single 809 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 810 811 test: 812 suffix: draw 813 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 814 requires: x !single 815 816 test: 817 suffix: drawports 818 args: -snes_monitor_solution draw::draw_ports -da_refine 1 819 output_file: output/ex19_draw.out 820 requires: x !single 821 822 test: 823 suffix: fas 824 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 100 825 requires: !single 826 827 test: 828 suffix: fas_full 829 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 100 830 requires: !single 831 832 test: 833 suffix: fdcoloring_ds 834 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 835 output_file: output/ex19_2.out 836 requires: !single 837 838 test: 839 suffix: fdcoloring_ds_baij 840 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 841 output_file: output/ex19_2.out 842 requires: !single 843 844 test: 845 suffix: fdcoloring_ds_bcols1 846 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 847 output_file: output/ex19_2.out 848 requires: !single 849 850 test: 851 suffix: fdcoloring_wp 852 args: -da_refine 3 -snes_monitor_short -pc_type mg 853 requires: !single 854 855 test: 856 suffix: fdcoloring_wp_baij 857 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 858 output_file: output/ex19_fdcoloring_wp.out 859 requires: !single 860 861 test: 862 suffix: fdcoloring_wp_bcols1 863 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 864 output_file: output/ex19_fdcoloring_wp.out 865 requires: !single 866 867 test: 868 suffix: fieldsplit_2 869 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 870 requires: !single 871 872 test: 873 suffix: fieldsplit_3 874 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 875 requires: !single 876 877 test: 878 suffix: fieldsplit_4 879 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 880 requires: !single 881 882 # HYPRE PtAP broken with complex numbers 883 test: 884 suffix: fieldsplit_hypre 885 nsize: 2 886 requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 887 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 888 889 test: 890 suffix: fieldsplit_mumps 891 nsize: 2 892 requires: mumps 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_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 894 output_file: output/ex19_fieldsplit_5.out 895 896 test: 897 suffix: greedy_coloring 898 nsize: 2 899 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>&1 900 requires: !single 901 902 # HYPRE PtAP broken with complex numbers 903 test: 904 suffix: hypre 905 nsize: 2 906 requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 907 args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned 908 909 # ibcgs is broken when using device vectors 910 test: 911 suffix: ibcgs 912 nsize: 2 913 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 914 requires: !complex !single 915 916 test: 917 suffix: kaczmarz 918 nsize: 2 919 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 920 requires: !single 921 922 test: 923 suffix: klu 924 requires: suitesparse 925 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 926 output_file: output/ex19_superlu.out 927 928 test: 929 suffix: klu_2 930 requires: suitesparse 931 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd 932 output_file: output/ex19_superlu.out 933 934 test: 935 suffix: klu_3 936 requires: suitesparse 937 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 938 output_file: output/ex19_superlu.out 939 940 test: 941 suffix: ml 942 nsize: 2 943 requires: ml 944 args: -da_refine 3 -snes_monitor_short -pc_type ml 945 946 test: 947 suffix: ngmres_fas 948 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 949 requires: !single 950 951 test: 952 suffix: ngmres_fas_gssecant 953 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 954 requires: !single 955 956 test: 957 suffix: ngmres_fas_ms 958 nsize: 2 959 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 1 960 requires: !single 961 962 test: 963 suffix: ngmres_nasm 964 nsize: 4 965 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 100 966 requires: !single 967 968 test: 969 suffix: ngs 970 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 971 requires: !single 972 973 test: 974 suffix: ngs_fd 975 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 976 requires: !single 977 978 test: 979 suffix: parms 980 nsize: 2 981 requires: parms 982 args: -pc_type parms -ksp_monitor_short -snes_view 983 984 test: 985 suffix: superlu 986 requires: superlu 987 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 988 989 test: 990 suffix: superlu_sell 991 requires: superlu 992 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 993 output_file: output/ex19_superlu.out 994 995 test: 996 suffix: superlu_dist 997 requires: superlu_dist 998 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 999 output_file: output/ex19_superlu.out 1000 1001 test: 1002 suffix: superlu_dist_2 1003 nsize: 2 1004 requires: superlu_dist 1005 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1006 output_file: output/ex19_superlu.out 1007 1008 test: 1009 suffix: superlu_dist_3d 1010 nsize: 4 1011 requires: superlu_dist !defined(PETSCTEST_VALGRIND) 1012 filter: grep -v iam | grep -v openMP 1013 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 1014 1015 test: 1016 suffix: superlu_equil 1017 requires: superlu 1018 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 1019 1020 test: 1021 suffix: superlu_equil_sell 1022 requires: superlu 1023 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 1024 output_file: output/ex19_superlu_equil.out 1025 1026 test: 1027 suffix: tcqmr 1028 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1029 requires: !single 1030 1031 test: 1032 suffix: tfqmr 1033 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1034 requires: !single 1035 1036 test: 1037 suffix: umfpack 1038 requires: suitesparse 1039 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 1040 1041 test: 1042 suffix: tut_1 1043 nsize: 4 1044 requires: !single 1045 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1046 1047 test: 1048 suffix: tut_2 1049 nsize: 4 1050 requires: !single 1051 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1052 1053 # HYPRE PtAP broken with complex numbers 1054 test: 1055 suffix: tut_3 1056 nsize: 4 1057 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 1058 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1059 1060 test: 1061 suffix: tut_8 1062 nsize: 4 1063 requires: ml !single 1064 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1065 1066 test: 1067 suffix: tut_4 1068 nsize: 1 1069 requires: !single 1070 args: -da_refine 5 -log_view 1071 filter: head -n 2 1072 filter_output: head -n 2 1073 1074 test: 1075 suffix: tut_5 1076 nsize: 1 1077 requires: !single 1078 args: -da_refine 5 -log_view -pc_type mg 1079 filter: head -n 2 1080 filter_output: head -n 2 1081 1082 test: 1083 suffix: tut_6 1084 nsize: 4 1085 requires: !single 1086 args: -da_refine 5 -log_view 1087 filter: head -n 2 1088 filter_output: head -n 2 1089 1090 test: 1091 suffix: tut_7 1092 nsize: 4 1093 requires: !single 1094 args: -da_refine 5 -log_view -pc_type mg 1095 filter: head -n 2 1096 filter_output: head -n 2 1097 1098 test: 1099 suffix: cuda_1 1100 nsize: 1 1101 requires: cuda 1102 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 1103 1104 test: 1105 suffix: cuda_2 1106 nsize: 3 1107 requires: cuda !single 1108 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 1109 1110 test: 1111 suffix: cuda_dm_bind_below 1112 nsize: 2 1113 requires: cuda 1114 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 1115 filter: awk "/Level/ {print \$NF}" 1116 1117 test: 1118 suffix: viennacl_dm_bind_below 1119 nsize: 2 1120 requires: viennacl 1121 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 1122 filter: awk "/Level/ {print \$NF}" 1123 1124 test: 1125 suffix: seqbaijmkl 1126 nsize: 1 1127 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1128 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1129 1130 test: 1131 suffix: mpibaijmkl 1132 nsize: 2 1133 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1134 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1135 1136 test: 1137 suffix: cpardiso 1138 nsize: 4 1139 requires: mkl_cpardiso 1140 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1141 1142 test: 1143 suffix: logviewmemory 1144 requires: defined(PETSC_USE_LOG) !defined(PETSCTEST_VALGRIND) 1145 args: -log_view -log_view_memory -da_refine 4 1146 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1147 1148 test: 1149 suffix: fs 1150 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 1151 1152 test: 1153 suffix: asm_matconvert 1154 args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view 1155 1156 test: 1157 suffix: euclid 1158 nsize: 2 1159 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1160 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid 1161 1162 test: 1163 suffix: euclid_bj 1164 nsize: 2 1165 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1166 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj 1167 1168 test: 1169 suffix: euclid_droptolerance 1170 nsize: 1 1171 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1172 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_droptolerance .1 1173 1174 test: 1175 suffix: failure_size 1176 nsize: 1 1177 requires: !defined(PETSC_USE_64BIT_INDICES) !defined(PETSCTEST_VALGRIND) 1178 args: -da_refine 100 -petsc_ci_portable_error_output -error_output_stdout 1179 filter: egrep -v "(options_left|memory block|leaked context|is not freed before MPI_Finalize|Could be the program crashed)" 1180 1181 TEST*/ 1182