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 comm = PETSC_COMM_WORLD; 99 PetscCall(SNESCreate(comm,&snes)); 100 101 /* 102 Create distributed array object to manage parallel grid and vectors 103 for principal unknowns (x) and governing residuals (f) 104 */ 105 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)); 106 PetscCall(DMSetFromOptions(da)); 107 PetscCall(DMSetUp(da)); 108 PetscCall(SNESSetDM(snes,(DM)da)); 109 PetscCall(SNESSetNGS(snes, NonlinearGS, (void*)&user)); 110 111 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)); 112 /* 113 Problem parameters (velocity of lid, prandtl, and grashof numbers) 114 */ 115 user.lidvelocity = 1.0/(mx*my); 116 user.prandtl = 1.0; 117 user.grashof = 1.0; 118 119 PetscCall(PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL)); 120 PetscCall(PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL)); 121 PetscCall(PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL)); 122 PetscCall(PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours)); 123 124 PetscCall(DMDASetFieldName(da,0,"x_velocity")); 125 PetscCall(DMDASetFieldName(da,1,"y_velocity")); 126 PetscCall(DMDASetFieldName(da,2,"Omega")); 127 PetscCall(DMDASetFieldName(da,3,"temperature")); 128 129 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 130 Create user context, set problem data, create vector data structures. 131 Also, compute the initial guess. 132 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 133 134 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 135 Create nonlinear solver context 136 137 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 138 PetscCall(DMSetApplicationContext(da,&user)); 139 PetscCall(DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user)); 140 PetscCall(SNESSetFromOptions(snes)); 141 PetscCall(PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof)); 142 143 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 144 Solve the nonlinear system 145 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 146 PetscCall(DMCreateGlobalVector(da,&x)); 147 PetscCall(FormInitialGuess(&user,da,x)); 148 149 PetscCall(SNESSolve(snes,NULL,x)); 150 151 PetscCall(SNESGetIterationNumber(snes,&its)); 152 PetscCall(PetscPrintf(comm,"Number of SNES iterations = %" PetscInt_FMT "\n", its)); 153 154 /* 155 Visualize solution 156 */ 157 if (user.draw_contours) PetscCall(VecView(x,PETSC_VIEWER_DRAW_WORLD)); 158 159 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 160 Free work space. All PETSc objects should be destroyed when they 161 are no longer needed. 162 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 163 PetscCall(VecDestroy(&x)); 164 PetscCall(DMDestroy(&da)); 165 PetscCall(SNESDestroy(&snes)); 166 PetscCall(PetscFinalize()); 167 return 0; 168 } 169 170 /* ------------------------------------------------------------------- */ 171 172 /* 173 FormInitialGuess - Forms initial approximation. 174 175 Input Parameters: 176 user - user-defined application context 177 X - vector 178 179 Output Parameter: 180 X - vector 181 */ 182 PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X) 183 { 184 PetscInt i,j,mx,xs,ys,xm,ym; 185 PetscReal grashof,dx; 186 Field **x; 187 188 PetscFunctionBeginUser; 189 grashof = user->grashof; 190 191 PetscCall(DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0)); 192 dx = 1.0/(mx-1); 193 194 /* 195 Get local grid boundaries (for 2-dimensional DMDA): 196 xs, ys - starting grid indices (no ghost points) 197 xm, ym - widths of local grid (no ghost points) 198 */ 199 PetscCall(DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL)); 200 201 /* 202 Get a pointer to vector data. 203 - For default PETSc vectors, VecGetArray() returns a pointer to 204 the data array. Otherwise, the routine is implementation dependent. 205 - You MUST call VecRestoreArray() when you no longer need access to 206 the array. 207 */ 208 PetscCall(DMDAVecGetArrayWrite(da,X,&x)); 209 210 /* 211 Compute initial guess over the locally owned part of the grid 212 Initial condition is motionless fluid and equilibrium temperature 213 */ 214 for (j=ys; j<ys+ym; j++) { 215 for (i=xs; i<xs+xm; i++) { 216 x[j][i].u = 0.0; 217 x[j][i].v = 0.0; 218 x[j][i].omega = 0.0; 219 x[j][i].temp = (grashof>0)*i*dx; 220 } 221 } 222 223 /* 224 Restore vector 225 */ 226 PetscCall(DMDAVecRestoreArrayWrite(da,X,&x)); 227 PetscFunctionReturn(0); 228 } 229 230 PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) 231 { 232 AppCtx *user = (AppCtx*)ptr; 233 PetscInt xints,xinte,yints,yinte,i,j; 234 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 235 PetscReal grashof,prandtl,lid; 236 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 237 238 PetscFunctionBeginUser; 239 grashof = user->grashof; 240 prandtl = user->prandtl; 241 lid = user->lidvelocity; 242 243 /* 244 Define mesh intervals ratios for uniform grid. 245 246 Note: FD formulae below are normalized by multiplying through by 247 local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions. 248 249 */ 250 dhx = (PetscReal)(info->mx-1); dhy = (PetscReal)(info->my-1); 251 hx = 1.0/dhx; hy = 1.0/dhy; 252 hxdhy = hx*dhy; hydhx = hy*dhx; 253 254 xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; 255 256 /* Test whether we are on the bottom edge of the global array */ 257 if (yints == 0) { 258 j = 0; 259 yints = yints + 1; 260 /* bottom edge */ 261 for (i=info->xs; i<info->xs+info->xm; i++) { 262 f[j][i].u = x[j][i].u; 263 f[j][i].v = x[j][i].v; 264 f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy; 265 f[j][i].temp = x[j][i].temp-x[j+1][i].temp; 266 } 267 } 268 269 /* Test whether we are on the top edge of the global array */ 270 if (yinte == info->my) { 271 j = info->my - 1; 272 yinte = yinte - 1; 273 /* top edge */ 274 for (i=info->xs; i<info->xs+info->xm; i++) { 275 f[j][i].u = x[j][i].u - lid; 276 f[j][i].v = x[j][i].v; 277 f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy; 278 f[j][i].temp = x[j][i].temp-x[j-1][i].temp; 279 } 280 } 281 282 /* Test whether we are on the left edge of the global array */ 283 if (xints == 0) { 284 i = 0; 285 xints = xints + 1; 286 /* left edge */ 287 for (j=info->ys; j<info->ys+info->ym; j++) { 288 f[j][i].u = x[j][i].u; 289 f[j][i].v = x[j][i].v; 290 f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx; 291 f[j][i].temp = x[j][i].temp; 292 } 293 } 294 295 /* Test whether we are on the right edge of the global array */ 296 if (xinte == info->mx) { 297 i = info->mx - 1; 298 xinte = xinte - 1; 299 /* right edge */ 300 for (j=info->ys; j<info->ys+info->ym; j++) { 301 f[j][i].u = x[j][i].u; 302 f[j][i].v = x[j][i].v; 303 f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx; 304 f[j][i].temp = x[j][i].temp - (PetscReal)(grashof>0); 305 } 306 } 307 308 /* Compute over the interior points */ 309 for (j=yints; j<yinte; j++) { 310 for (i=xints; i<xinte; i++) { 311 312 /* 313 convective coefficients for upwinding 314 */ 315 vx = x[j][i].u; avx = PetscAbsScalar(vx); 316 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 317 vy = x[j][i].v; avy = PetscAbsScalar(vy); 318 vyp = .5*(vy+avy); vym = .5*(vy-avy); 319 320 /* U velocity */ 321 u = x[j][i].u; 322 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 323 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 324 f[j][i].u = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx; 325 326 /* V velocity */ 327 u = x[j][i].v; 328 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 329 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 330 f[j][i].v = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy; 331 332 /* Omega */ 333 u = x[j][i].omega; 334 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 335 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 336 f[j][i].omega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 337 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 338 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy; 339 340 /* Temperature */ 341 u = x[j][i].temp; 342 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 343 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 344 f[j][i].temp = uxx + uyy + prandtl*((vxp*(u - x[j][i-1].temp) + vxm*(x[j][i+1].temp - u))*hy + 345 (vyp*(u - x[j-1][i].temp) + vym*(x[j+1][i].temp - u))*hx); 346 } 347 } 348 349 /* 350 Flop count (multiply-adds are counted as 2 operations) 351 */ 352 PetscCall(PetscLogFlops(84.0*info->ym*info->xm)); 353 PetscFunctionReturn(0); 354 } 355 356 /* 357 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 358 */ 359 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 360 { 361 DMDALocalInfo info; 362 Field **x,**b; 363 Vec localX, localB; 364 DM da; 365 PetscInt xints,xinte,yints,yinte,i,j,k,l; 366 PetscInt max_its,tot_its; 367 PetscInt sweeps; 368 PetscReal rtol,atol,stol; 369 PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; 370 PetscReal grashof,prandtl,lid; 371 PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; 372 PetscScalar fu, fv, fomega, ftemp; 373 PetscScalar dfudu; 374 PetscScalar dfvdv; 375 PetscScalar dfodu, dfodv, dfodo; 376 PetscScalar dftdu, dftdv, dftdt; 377 PetscScalar yu=0, yv=0, yo=0, yt=0; 378 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 379 PetscBool ptconverged; 380 PetscReal pfnorm,pfnorm0,pynorm,pxnorm; 381 AppCtx *user = (AppCtx*)ctx; 382 383 PetscFunctionBeginUser; 384 grashof = user->grashof; 385 prandtl = user->prandtl; 386 lid = user->lidvelocity; 387 tot_its = 0; 388 PetscCall(SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its)); 389 PetscCall(SNESNGSGetSweeps(snes,&sweeps)); 390 PetscCall(SNESGetDM(snes,(DM*)&da)); 391 PetscCall(DMGetLocalVector(da,&localX)); 392 if (B) { 393 PetscCall(DMGetLocalVector(da,&localB)); 394 } 395 /* 396 Scatter ghost points to local vector, using the 2-step process 397 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 398 */ 399 PetscCall(DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX)); 400 PetscCall(DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX)); 401 if (B) { 402 PetscCall(DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB)); 403 PetscCall(DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB)); 404 } 405 PetscCall(DMDAGetLocalInfo(da,&info)); 406 PetscCall(DMDAVecGetArrayWrite(da,localX,&x)); 407 if (B) { 408 PetscCall(DMDAVecGetArrayRead(da,localB,&b)); 409 } 410 /* looks like a combination of the formfunction / formjacobian routines */ 411 dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); 412 hx = 1.0/dhx; hy = 1.0/dhy; 413 hxdhy = hx*dhy; hydhx = hy*dhx; 414 415 xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; 416 417 /* Set the boundary conditions on the momentum equations */ 418 /* Test whether we are on the bottom edge of the global array */ 419 if (yints == 0) { 420 j = 0; 421 /* bottom edge */ 422 for (i=info.xs; i<info.xs+info.xm; i++) { 423 424 if (B) { 425 bjiu = b[j][i].u; 426 bjiv = b[j][i].v; 427 } else { 428 bjiu = 0.0; 429 bjiv = 0.0; 430 } 431 x[j][i].u = 0.0 + bjiu; 432 x[j][i].v = 0.0 + bjiv; 433 } 434 } 435 436 /* Test whether we are on the top edge of the global array */ 437 if (yinte == info.my) { 438 j = info.my - 1; 439 /* top edge */ 440 for (i=info.xs; i<info.xs+info.xm; i++) { 441 if (B) { 442 bjiu = b[j][i].u; 443 bjiv = b[j][i].v; 444 } else { 445 bjiu = 0.0; 446 bjiv = 0.0; 447 } 448 x[j][i].u = lid + bjiu; 449 x[j][i].v = bjiv; 450 } 451 } 452 453 /* Test whether we are on the left edge of the global array */ 454 if (xints == 0) { 455 i = 0; 456 /* left edge */ 457 for (j=info.ys; j<info.ys+info.ym; j++) { 458 if (B) { 459 bjiu = b[j][i].u; 460 bjiv = b[j][i].v; 461 } else { 462 bjiu = 0.0; 463 bjiv = 0.0; 464 } 465 x[j][i].u = 0.0 + bjiu; 466 x[j][i].v = 0.0 + bjiv; 467 } 468 } 469 470 /* Test whether we are on the right edge of the global array */ 471 if (xinte == info.mx) { 472 i = info.mx - 1; 473 /* right edge */ 474 for (j=info.ys; j<info.ys+info.ym; j++) { 475 if (B) { 476 bjiu = b[j][i].u; 477 bjiv = b[j][i].v; 478 } else { 479 bjiu = 0.0; 480 bjiv = 0.0; 481 } 482 x[j][i].u = 0.0 + bjiu; 483 x[j][i].v = 0.0 + bjiv; 484 } 485 } 486 487 for (k=0; k < sweeps; k++) { 488 for (j=info.ys; j<info.ys + info.ym; j++) { 489 for (i=info.xs; i<info.xs + info.xm; i++) { 490 ptconverged = PETSC_FALSE; 491 pfnorm0 = 0.0; 492 fu = 0.0; 493 fv = 0.0; 494 fomega = 0.0; 495 ftemp = 0.0; 496 /* Run Newton's method on a single grid point */ 497 for (l = 0; l < max_its && !ptconverged; l++) { 498 if (B) { 499 bjiu = b[j][i].u; 500 bjiv = b[j][i].v; 501 bjiomega = b[j][i].omega; 502 bjitemp = b[j][i].temp; 503 } else { 504 bjiu = 0.0; 505 bjiv = 0.0; 506 bjiomega = 0.0; 507 bjitemp = 0.0; 508 } 509 510 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my-1) { 511 /* U velocity */ 512 u = x[j][i].u; 513 uxx = (2.0*u - x[j][i-1].u - x[j][i+1].u)*hydhx; 514 uyy = (2.0*u - x[j-1][i].u - x[j+1][i].u)*hxdhy; 515 fu = uxx + uyy - .5*(x[j+1][i].omega-x[j-1][i].omega)*hx - bjiu; 516 dfudu = 2.0*(hydhx + hxdhy); 517 /* V velocity */ 518 u = x[j][i].v; 519 uxx = (2.0*u - x[j][i-1].v - x[j][i+1].v)*hydhx; 520 uyy = (2.0*u - x[j-1][i].v - x[j+1][i].v)*hxdhy; 521 fv = uxx + uyy + .5*(x[j][i+1].omega-x[j][i-1].omega)*hy - bjiv; 522 dfvdv = 2.0*(hydhx + hxdhy); 523 /* 524 convective coefficients for upwinding 525 */ 526 vx = x[j][i].u; avx = PetscAbsScalar(vx); 527 vxp = .5*(vx+avx); vxm = .5*(vx-avx); 528 vy = x[j][i].v; avy = PetscAbsScalar(vy); 529 vyp = .5*(vy+avy); vym = .5*(vy-avy); 530 /* Omega */ 531 u = x[j][i].omega; 532 uxx = (2.0*u - x[j][i-1].omega - x[j][i+1].omega)*hydhx; 533 uyy = (2.0*u - x[j-1][i].omega - x[j+1][i].omega)*hxdhy; 534 fomega = uxx + uyy + (vxp*(u - x[j][i-1].omega) + vxm*(x[j][i+1].omega - u))*hy + 535 (vyp*(u - x[j-1][i].omega) + vym*(x[j+1][i].omega - u))*hx - 536 .5*grashof*(x[j][i+1].temp - x[j][i-1].temp)*hy - bjiomega; 537 /* convective coefficient derivatives */ 538 dfodo = 2.0*(hydhx + hxdhy) + ((vxp - vxm)*hy + (vyp - vym)*hx); 539 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i-1].omega)*hy; 540 else dfodu = (x[j][i+1].omega - u)*hy; 541 542 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; 543 else dfodv = (x[j+1][i].omega - u)*hx; 544 545 /* Temperature */ 546 u = x[j][i].temp; 547 uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; 548 uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 549 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; 550 dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); 551 if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; 552 else dftdu = prandtl*(x[j][i+1].temp - u)*hy; 553 554 if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; 555 else dftdv = prandtl*(x[j+1][i].temp - u)*hx; 556 557 /* invert the system: 558 [ dfu / du 0 0 0 ][yu] = [fu] 559 [ 0 dfv / dv 0 0 ][yv] [fv] 560 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 561 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 562 by simple back-substitution 563 */ 564 yu = fu / dfudu; 565 yv = fv / dfvdv; 566 yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; 567 yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; 568 569 x[j][i].u = x[j][i].u - yu; 570 x[j][i].v = x[j][i].v - yv; 571 x[j][i].temp = x[j][i].temp - yt; 572 x[j][i].omega = x[j][i].omega - yo; 573 } 574 if (i == 0) { 575 fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; 576 ftemp = x[j][i].temp - bjitemp; 577 yo = fomega; 578 yt = ftemp; 579 x[j][i].omega = x[j][i].omega - fomega; 580 x[j][i].temp = x[j][i].temp - ftemp; 581 } 582 if (i == info.mx - 1) { 583 fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; 584 ftemp = x[j][i].temp - (PetscReal)(grashof>0) - bjitemp; 585 yo = fomega; 586 yt = ftemp; 587 x[j][i].omega = x[j][i].omega - fomega; 588 x[j][i].temp = x[j][i].temp - ftemp; 589 } 590 if (j == 0) { 591 fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; 592 ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp; 593 yo = fomega; 594 yt = ftemp; 595 x[j][i].omega = x[j][i].omega - fomega; 596 x[j][i].temp = x[j][i].temp - ftemp; 597 } 598 if (j == info.my - 1) { 599 fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega; 600 ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp; 601 yo = fomega; 602 yt = ftemp; 603 x[j][i].omega = x[j][i].omega - fomega; 604 x[j][i].temp = x[j][i].temp - ftemp; 605 } 606 tot_its++; 607 pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); 608 pfnorm = PetscSqrtReal(pfnorm); 609 pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); 610 pynorm = PetscSqrtReal(pynorm); 611 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); 612 pxnorm = PetscSqrtReal(pxnorm); 613 if (l == 0) pfnorm0 = pfnorm; 614 if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; 615 } 616 } 617 } 618 } 619 PetscCall(DMDAVecRestoreArrayWrite(da,localX,&x)); 620 if (B) { 621 PetscCall(DMDAVecRestoreArrayRead(da,localB,&b)); 622 } 623 PetscCall(DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X)); 624 PetscCall(DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X)); 625 PetscCall(PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0))); 626 PetscCall(DMRestoreLocalVector(da,&localX)); 627 if (B) { 628 PetscCall(DMRestoreLocalVector(da,&localB)); 629 } 630 PetscFunctionReturn(0); 631 } 632 633 /*TEST 634 635 test: 636 nsize: 2 637 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 638 requires: !single 639 640 test: 641 suffix: 10 642 nsize: 3 643 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 644 requires: !single 645 646 test: 647 suffix: 11 648 nsize: 4 649 requires: pastix 650 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 651 652 test: 653 suffix: 12 654 nsize: 12 655 requires: pastix 656 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 657 658 test: 659 suffix: 13 660 nsize: 3 661 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 662 requires: !single 663 664 test: 665 suffix: 14 666 nsize: 4 667 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 668 requires: !single 669 670 test: 671 suffix: 14_ds 672 nsize: 4 673 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 674 output_file: output/ex19_2.out 675 requires: !single 676 677 test: 678 suffix: 17 679 args: -snes_monitor_short -ksp_pc_side right 680 requires: !single 681 682 test: 683 suffix: 18 684 args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right 685 requires: x !single 686 687 test: 688 suffix: 19 689 nsize: 2 690 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc 691 requires: !single 692 693 test: 694 suffix: 20 695 nsize: 2 696 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 697 requires: !single 698 699 test: 700 suffix: 2 701 nsize: 4 702 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 703 requires: !single 704 705 test: 706 suffix: 2_bcols1 707 nsize: 4 708 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 709 output_file: output/ex19_2.out 710 requires: !single 711 712 test: 713 suffix: 3 714 nsize: 4 715 requires: mumps 716 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 2 717 718 test: 719 suffix: 4 720 nsize: 12 721 requires: mumps 722 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 5 723 output_file: output/ex19_3.out 724 725 test: 726 suffix: 6 727 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 728 requires: !single 729 730 test: 731 suffix: 7 732 nsize: 3 733 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 734 735 requires: !single 736 test: 737 suffix: 8 738 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 739 requires: !single 740 741 test: 742 suffix: 9 743 nsize: 3 744 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 745 requires: !single 746 747 test: 748 suffix: aspin 749 nsize: 4 750 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 751 requires: !single 752 753 test: 754 suffix: bcgsl 755 nsize: 2 756 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 757 requires: !single 758 759 test: 760 suffix: bcols1 761 nsize: 2 762 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 763 output_file: output/ex19_1.out 764 requires: !single 765 766 test: 767 suffix: bjacobi 768 nsize: 4 769 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 770 requires: !single 771 772 test: 773 suffix: cgne 774 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 775 filter: grep -v HERMITIAN 776 requires: !single 777 778 test: 779 suffix: cgs 780 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 781 requires: !single 782 783 test: 784 suffix: composite_fieldsplit 785 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 786 requires: !single 787 788 test: 789 suffix: composite_fieldsplit_bjacobi 790 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 791 requires: !single 792 793 test: 794 suffix: composite_fieldsplit_bjacobi_2 795 nsize: 4 796 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 797 requires: !single 798 799 test: 800 suffix: composite_gs_newton 801 nsize: 2 802 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 803 requires: !single 804 805 test: 806 suffix: cuda 807 requires: cuda !single 808 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 809 810 test: 811 suffix: draw 812 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 813 requires: x !single 814 815 test: 816 suffix: drawports 817 args: -snes_monitor_solution draw::draw_ports -da_refine 1 818 output_file: output/ex19_draw.out 819 requires: x !single 820 821 test: 822 suffix: fas 823 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 100 824 requires: !single 825 826 test: 827 suffix: fas_full 828 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 100 829 requires: !single 830 831 test: 832 suffix: fdcoloring_ds 833 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 834 output_file: output/ex19_2.out 835 requires: !single 836 837 test: 838 suffix: fdcoloring_ds_baij 839 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 840 output_file: output/ex19_2.out 841 requires: !single 842 843 test: 844 suffix: fdcoloring_ds_bcols1 845 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 846 output_file: output/ex19_2.out 847 requires: !single 848 849 test: 850 suffix: fdcoloring_wp 851 args: -da_refine 3 -snes_monitor_short -pc_type mg 852 requires: !single 853 854 test: 855 suffix: fdcoloring_wp_baij 856 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 857 output_file: output/ex19_fdcoloring_wp.out 858 requires: !single 859 860 test: 861 suffix: fdcoloring_wp_bcols1 862 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 863 output_file: output/ex19_fdcoloring_wp.out 864 requires: !single 865 866 test: 867 suffix: fieldsplit_2 868 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 869 requires: !single 870 871 test: 872 suffix: fieldsplit_3 873 args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type additive -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short 874 requires: !single 875 876 test: 877 suffix: fieldsplit_4 878 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 879 requires: !single 880 881 # HYPRE PtAP broken with complex numbers 882 test: 883 suffix: fieldsplit_hypre 884 nsize: 2 885 requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 886 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 887 888 test: 889 suffix: fieldsplit_mumps 890 nsize: 2 891 requires: mumps 892 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 893 output_file: output/ex19_fieldsplit_5.out 894 895 test: 896 suffix: greedy_coloring 897 nsize: 2 898 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>&1 899 requires: !single 900 901 # HYPRE PtAP broken with complex numbers 902 test: 903 suffix: hypre 904 nsize: 2 905 requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 906 args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned 907 908 # ibcgs is broken when using device vectors 909 test: 910 suffix: ibcgs 911 nsize: 2 912 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 913 requires: !complex !single 914 915 test: 916 suffix: kaczmarz 917 nsize: 2 918 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 919 requires: !single 920 921 test: 922 suffix: klu 923 requires: suitesparse 924 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 925 output_file: output/ex19_superlu.out 926 927 test: 928 suffix: klu_2 929 requires: suitesparse 930 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd 931 output_file: output/ex19_superlu.out 932 933 test: 934 suffix: klu_3 935 requires: suitesparse 936 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 937 output_file: output/ex19_superlu.out 938 939 test: 940 suffix: ml 941 nsize: 2 942 requires: ml 943 args: -da_refine 3 -snes_monitor_short -pc_type ml 944 945 test: 946 suffix: ngmres_fas 947 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 948 requires: !single 949 950 test: 951 suffix: ngmres_fas_gssecant 952 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 953 requires: !single 954 955 test: 956 suffix: ngmres_fas_ms 957 nsize: 2 958 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 1 959 requires: !single 960 961 test: 962 suffix: ngmres_nasm 963 nsize: 4 964 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 100 965 requires: !single 966 967 test: 968 suffix: ngs 969 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 970 requires: !single 971 972 test: 973 suffix: ngs_fd 974 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 975 requires: !single 976 977 test: 978 suffix: parms 979 nsize: 2 980 requires: parms 981 args: -pc_type parms -ksp_monitor_short -snes_view 982 983 test: 984 suffix: superlu 985 requires: superlu 986 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 987 988 test: 989 suffix: superlu_sell 990 requires: superlu 991 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 992 output_file: output/ex19_superlu.out 993 994 test: 995 suffix: superlu_dist 996 requires: superlu_dist 997 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 998 output_file: output/ex19_superlu.out 999 1000 test: 1001 suffix: superlu_dist_2 1002 nsize: 2 1003 requires: superlu_dist 1004 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1005 output_file: output/ex19_superlu.out 1006 1007 test: 1008 suffix: superlu_dist_3d 1009 nsize: 4 1010 requires: superlu_dist !defined(PETSCTEST_VALGRIND) 1011 filter: grep -v iam | grep -v openMP 1012 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 1013 1014 test: 1015 suffix: superlu_equil 1016 requires: superlu 1017 args: -da_grid_x 20 -da_grid_y 20 -{snes,ksp}_monitor_short -pc_type lu -pc_factor_mat_solver_type superlu -mat_superlu_equil 1018 1019 test: 1020 suffix: superlu_equil_sell 1021 requires: superlu 1022 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 1023 output_file: output/ex19_superlu_equil.out 1024 1025 test: 1026 suffix: tcqmr 1027 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1028 requires: !single 1029 1030 test: 1031 suffix: tfqmr 1032 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1033 requires: !single 1034 1035 test: 1036 suffix: umfpack 1037 requires: suitesparse 1038 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 1039 1040 test: 1041 suffix: tut_1 1042 nsize: 4 1043 requires: !single 1044 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1045 1046 test: 1047 suffix: tut_2 1048 nsize: 4 1049 requires: !single 1050 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1051 1052 # HYPRE PtAP broken with complex numbers 1053 test: 1054 suffix: tut_3 1055 nsize: 4 1056 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 1057 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1058 1059 test: 1060 suffix: tut_8 1061 nsize: 4 1062 requires: ml !single 1063 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1064 1065 test: 1066 suffix: tut_4 1067 nsize: 1 1068 requires: !single 1069 args: -da_refine 5 -log_view 1070 filter: head -n 2 1071 filter_output: head -n 2 1072 1073 test: 1074 suffix: tut_5 1075 nsize: 1 1076 requires: !single 1077 args: -da_refine 5 -log_view -pc_type mg 1078 filter: head -n 2 1079 filter_output: head -n 2 1080 1081 test: 1082 suffix: tut_6 1083 nsize: 4 1084 requires: !single 1085 args: -da_refine 5 -log_view 1086 filter: head -n 2 1087 filter_output: head -n 2 1088 1089 test: 1090 suffix: tut_7 1091 nsize: 4 1092 requires: !single 1093 args: -da_refine 5 -log_view -pc_type mg 1094 filter: head -n 2 1095 filter_output: head -n 2 1096 1097 test: 1098 suffix: cuda_1 1099 nsize: 1 1100 requires: cuda 1101 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 1102 1103 test: 1104 suffix: cuda_2 1105 nsize: 3 1106 requires: cuda !single 1107 args: -snes_monitor -dm_mat_type mpiaijcusparse -dm_vec_type mpicuda -pc_type gamg -pc_gamg_esteig_ksp_max_it 10 -ksp_monitor -mg_levels_ksp_max_it 3 1108 1109 test: 1110 suffix: cuda_dm_bind_below 1111 nsize: 2 1112 requires: cuda 1113 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 1114 filter: awk "/Level/ {print \$NF}" 1115 1116 test: 1117 suffix: viennacl_dm_bind_below 1118 nsize: 2 1119 requires: viennacl 1120 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 1121 filter: awk "/Level/ {print \$NF}" 1122 1123 test: 1124 suffix: seqbaijmkl 1125 nsize: 1 1126 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1127 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1128 1129 test: 1130 suffix: mpibaijmkl 1131 nsize: 2 1132 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1133 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1134 1135 test: 1136 suffix: cpardiso 1137 nsize: 4 1138 requires: mkl_cpardiso 1139 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1140 1141 test: 1142 suffix: logviewmemory 1143 requires: defined(PETSC_USE_LOG) !defined(PETSCTEST_VALGRIND) 1144 args: -log_view -log_view_memory -da_refine 4 1145 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1146 1147 test: 1148 suffix: fs 1149 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 1150 1151 test: 1152 suffix: asm_matconvert 1153 args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view 1154 1155 test: 1156 suffix: euclid 1157 nsize: 2 1158 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1159 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid 1160 1161 test: 1162 suffix: euclid_bj 1163 nsize: 2 1164 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1165 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj 1166 1167 test: 1168 suffix: euclid_droptolerance 1169 nsize: 1 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 -pc_hypre_euclid_droptolerance .1 1172 1173 test: 1174 suffix: failure_size 1175 nsize: 1 1176 requires: !defined(PETSC_USE_64BIT_INDICES) !defined(PETSCTEST_VALGRIND) 1177 args: -da_refine 100 -petsc_ci_portable_error_output -error_output_stdout 1178 filter: egrep -v "(options_left|memory block|leaked context|is not freed before MPI_Finalize)" 1179 1180 TEST*/ 1181