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); 252 dhy = (PetscReal)(info->my - 1); 253 hx = 1.0 / dhx; 254 hy = 1.0 / dhy; 255 hxdhy = hx * dhy; 256 hydhx = hy * dhx; 257 258 xints = info->xs; 259 xinte = info->xs + info->xm; 260 yints = info->ys; 261 yinte = info->ys + info->ym; 262 263 /* Test whether we are on the bottom edge of the global array */ 264 if (yints == 0) { 265 j = 0; 266 yints = yints + 1; 267 /* bottom edge */ 268 for (i = info->xs; i < info->xs + info->xm; i++) { 269 f[j][i].u = x[j][i].u; 270 f[j][i].v = x[j][i].v; 271 f[j][i].omega = x[j][i].omega + (x[j + 1][i].u - x[j][i].u) * dhy; 272 f[j][i].temp = x[j][i].temp - x[j + 1][i].temp; 273 } 274 } 275 276 /* Test whether we are on the top edge of the global array */ 277 if (yinte == info->my) { 278 j = info->my - 1; 279 yinte = yinte - 1; 280 /* top edge */ 281 for (i = info->xs; i < info->xs + info->xm; i++) { 282 f[j][i].u = x[j][i].u - lid; 283 f[j][i].v = x[j][i].v; 284 f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j - 1][i].u) * dhy; 285 f[j][i].temp = x[j][i].temp - x[j - 1][i].temp; 286 } 287 } 288 289 /* Test whether we are on the left edge of the global array */ 290 if (xints == 0) { 291 i = 0; 292 xints = xints + 1; 293 /* left edge */ 294 for (j = info->ys; j < info->ys + info->ym; j++) { 295 f[j][i].u = x[j][i].u; 296 f[j][i].v = x[j][i].v; 297 f[j][i].omega = x[j][i].omega - (x[j][i + 1].v - x[j][i].v) * dhx; 298 f[j][i].temp = x[j][i].temp; 299 } 300 } 301 302 /* Test whether we are on the right edge of the global array */ 303 if (xinte == info->mx) { 304 i = info->mx - 1; 305 xinte = xinte - 1; 306 /* right edge */ 307 for (j = info->ys; j < info->ys + info->ym; j++) { 308 f[j][i].u = x[j][i].u; 309 f[j][i].v = x[j][i].v; 310 f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i - 1].v) * dhx; 311 f[j][i].temp = x[j][i].temp - (PetscReal)(grashof > 0); 312 } 313 } 314 315 /* Compute over the interior points */ 316 for (j = yints; j < yinte; j++) { 317 for (i = xints; i < xinte; i++) { 318 /* 319 convective coefficients for upwinding 320 */ 321 vx = x[j][i].u; 322 avx = PetscAbsScalar(vx); 323 vxp = .5 * (vx + avx); 324 vxm = .5 * (vx - avx); 325 vy = x[j][i].v; 326 avy = PetscAbsScalar(vy); 327 vyp = .5 * (vy + avy); 328 vym = .5 * (vy - avy); 329 330 /* U velocity */ 331 u = x[j][i].u; 332 uxx = (2.0 * u - x[j][i - 1].u - x[j][i + 1].u) * hydhx; 333 uyy = (2.0 * u - x[j - 1][i].u - x[j + 1][i].u) * hxdhy; 334 f[j][i].u = uxx + uyy - .5 * (x[j + 1][i].omega - x[j - 1][i].omega) * hx; 335 336 /* V velocity */ 337 u = x[j][i].v; 338 uxx = (2.0 * u - x[j][i - 1].v - x[j][i + 1].v) * hydhx; 339 uyy = (2.0 * u - x[j - 1][i].v - x[j + 1][i].v) * hxdhy; 340 f[j][i].v = uxx + uyy + .5 * (x[j][i + 1].omega - x[j][i - 1].omega) * hy; 341 342 /* Omega */ 343 u = x[j][i].omega; 344 uxx = (2.0 * u - x[j][i - 1].omega - x[j][i + 1].omega) * hydhx; 345 uyy = (2.0 * u - x[j - 1][i].omega - x[j + 1][i].omega) * hxdhy; 346 f[j][i].omega = uxx + uyy + (vxp * (u - x[j][i - 1].omega) + vxm * (x[j][i + 1].omega - u)) * hy + (vyp * (u - x[j - 1][i].omega) + vym * (x[j + 1][i].omega - u)) * hx - .5 * grashof * (x[j][i + 1].temp - x[j][i - 1].temp) * hy; 347 348 /* Temperature */ 349 u = x[j][i].temp; 350 uxx = (2.0 * u - x[j][i - 1].temp - x[j][i + 1].temp) * hydhx; 351 uyy = (2.0 * u - x[j - 1][i].temp - x[j + 1][i].temp) * hxdhy; 352 f[j][i].temp = 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); 353 } 354 } 355 356 /* 357 Flop count (multiply-adds are counted as 2 operations) 358 */ 359 PetscCall(PetscLogFlops(84.0 * info->ym * info->xm)); 360 PetscFunctionReturn(0); 361 } 362 363 /* 364 Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points 365 */ 366 PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) 367 { 368 DMDALocalInfo info; 369 Field **x, **b; 370 Vec localX, localB; 371 DM da; 372 PetscInt xints, xinte, yints, yinte, i, j, k, l; 373 PetscInt max_its, tot_its; 374 PetscInt sweeps; 375 PetscReal rtol, atol, stol; 376 PetscReal hx, hy, dhx, dhy, hxdhy, hydhx; 377 PetscReal grashof, prandtl, lid; 378 PetscScalar u, uxx, uyy, vx, vy, avx, avy, vxp, vxm, vyp, vym; 379 PetscScalar fu, fv, fomega, ftemp; 380 PetscScalar dfudu; 381 PetscScalar dfvdv; 382 PetscScalar dfodu, dfodv, dfodo; 383 PetscScalar dftdu, dftdv, dftdt; 384 PetscScalar yu = 0, yv = 0, yo = 0, yt = 0; 385 PetscScalar bjiu, bjiv, bjiomega, bjitemp; 386 PetscBool ptconverged; 387 PetscReal pfnorm, pfnorm0, pynorm, pxnorm; 388 AppCtx *user = (AppCtx *)ctx; 389 390 PetscFunctionBeginUser; 391 grashof = user->grashof; 392 prandtl = user->prandtl; 393 lid = user->lidvelocity; 394 tot_its = 0; 395 PetscCall(SNESNGSGetTolerances(snes, &rtol, &atol, &stol, &max_its)); 396 PetscCall(SNESNGSGetSweeps(snes, &sweeps)); 397 PetscCall(SNESGetDM(snes, (DM *)&da)); 398 PetscCall(DMGetLocalVector(da, &localX)); 399 if (B) PetscCall(DMGetLocalVector(da, &localB)); 400 /* 401 Scatter ghost points to local vector, using the 2-step process 402 DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). 403 */ 404 PetscCall(DMGlobalToLocalBegin(da, X, INSERT_VALUES, localX)); 405 PetscCall(DMGlobalToLocalEnd(da, X, INSERT_VALUES, localX)); 406 if (B) { 407 PetscCall(DMGlobalToLocalBegin(da, B, INSERT_VALUES, localB)); 408 PetscCall(DMGlobalToLocalEnd(da, B, INSERT_VALUES, localB)); 409 } 410 PetscCall(DMDAGetLocalInfo(da, &info)); 411 PetscCall(DMDAVecGetArrayWrite(da, localX, &x)); 412 if (B) PetscCall(DMDAVecGetArrayRead(da, localB, &b)); 413 /* looks like a combination of the formfunction / formjacobian routines */ 414 dhx = (PetscReal)(info.mx - 1); 415 dhy = (PetscReal)(info.my - 1); 416 hx = 1.0 / dhx; 417 hy = 1.0 / dhy; 418 hxdhy = hx * dhy; 419 hydhx = hy * dhx; 420 421 xints = info.xs; 422 xinte = info.xs + info.xm; 423 yints = info.ys; 424 yinte = info.ys + info.ym; 425 426 /* Set the boundary conditions on the momentum equations */ 427 /* Test whether we are on the bottom edge of the global array */ 428 if (yints == 0) { 429 j = 0; 430 /* bottom edge */ 431 for (i = info.xs; i < info.xs + info.xm; i++) { 432 if (B) { 433 bjiu = b[j][i].u; 434 bjiv = b[j][i].v; 435 } else { 436 bjiu = 0.0; 437 bjiv = 0.0; 438 } 439 x[j][i].u = 0.0 + bjiu; 440 x[j][i].v = 0.0 + bjiv; 441 } 442 } 443 444 /* Test whether we are on the top edge of the global array */ 445 if (yinte == info.my) { 446 j = info.my - 1; 447 /* top edge */ 448 for (i = info.xs; i < info.xs + info.xm; i++) { 449 if (B) { 450 bjiu = b[j][i].u; 451 bjiv = b[j][i].v; 452 } else { 453 bjiu = 0.0; 454 bjiv = 0.0; 455 } 456 x[j][i].u = lid + bjiu; 457 x[j][i].v = bjiv; 458 } 459 } 460 461 /* Test whether we are on the left edge of the global array */ 462 if (xints == 0) { 463 i = 0; 464 /* left edge */ 465 for (j = info.ys; j < info.ys + info.ym; j++) { 466 if (B) { 467 bjiu = b[j][i].u; 468 bjiv = b[j][i].v; 469 } else { 470 bjiu = 0.0; 471 bjiv = 0.0; 472 } 473 x[j][i].u = 0.0 + bjiu; 474 x[j][i].v = 0.0 + bjiv; 475 } 476 } 477 478 /* Test whether we are on the right edge of the global array */ 479 if (xinte == info.mx) { 480 i = info.mx - 1; 481 /* right edge */ 482 for (j = info.ys; j < info.ys + info.ym; j++) { 483 if (B) { 484 bjiu = b[j][i].u; 485 bjiv = b[j][i].v; 486 } else { 487 bjiu = 0.0; 488 bjiv = 0.0; 489 } 490 x[j][i].u = 0.0 + bjiu; 491 x[j][i].v = 0.0 + bjiv; 492 } 493 } 494 495 for (k = 0; k < sweeps; k++) { 496 for (j = info.ys; j < info.ys + info.ym; j++) { 497 for (i = info.xs; i < info.xs + info.xm; i++) { 498 ptconverged = PETSC_FALSE; 499 pfnorm0 = 0.0; 500 fu = 0.0; 501 fv = 0.0; 502 fomega = 0.0; 503 ftemp = 0.0; 504 /* Run Newton's method on a single grid point */ 505 for (l = 0; l < max_its && !ptconverged; l++) { 506 if (B) { 507 bjiu = b[j][i].u; 508 bjiv = b[j][i].v; 509 bjiomega = b[j][i].omega; 510 bjitemp = b[j][i].temp; 511 } else { 512 bjiu = 0.0; 513 bjiv = 0.0; 514 bjiomega = 0.0; 515 bjitemp = 0.0; 516 } 517 518 if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my - 1) { 519 /* U velocity */ 520 u = x[j][i].u; 521 uxx = (2.0 * u - x[j][i - 1].u - x[j][i + 1].u) * hydhx; 522 uyy = (2.0 * u - x[j - 1][i].u - x[j + 1][i].u) * hxdhy; 523 fu = uxx + uyy - .5 * (x[j + 1][i].omega - x[j - 1][i].omega) * hx - bjiu; 524 dfudu = 2.0 * (hydhx + hxdhy); 525 /* V velocity */ 526 u = x[j][i].v; 527 uxx = (2.0 * u - x[j][i - 1].v - x[j][i + 1].v) * hydhx; 528 uyy = (2.0 * u - x[j - 1][i].v - x[j + 1][i].v) * hxdhy; 529 fv = uxx + uyy + .5 * (x[j][i + 1].omega - x[j][i - 1].omega) * hy - bjiv; 530 dfvdv = 2.0 * (hydhx + hxdhy); 531 /* 532 convective coefficients for upwinding 533 */ 534 vx = x[j][i].u; 535 avx = PetscAbsScalar(vx); 536 vxp = .5 * (vx + avx); 537 vxm = .5 * (vx - avx); 538 vy = x[j][i].v; 539 avy = PetscAbsScalar(vy); 540 vyp = .5 * (vy + avy); 541 vym = .5 * (vy - avy); 542 /* Omega */ 543 u = x[j][i].omega; 544 uxx = (2.0 * u - x[j][i - 1].omega - x[j][i + 1].omega) * hydhx; 545 uyy = (2.0 * u - x[j - 1][i].omega - x[j + 1][i].omega) * hxdhy; 546 fomega = uxx + uyy + (vxp * (u - x[j][i - 1].omega) + vxm * (x[j][i + 1].omega - u)) * hy + (vyp * (u - x[j - 1][i].omega) + vym * (x[j + 1][i].omega - u)) * hx - .5 * grashof * (x[j][i + 1].temp - x[j][i - 1].temp) * hy - bjiomega; 547 /* convective coefficient derivatives */ 548 dfodo = 2.0 * (hydhx + hxdhy) + ((vxp - vxm) * hy + (vyp - vym) * hx); 549 if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i - 1].omega) * hy; 550 else dfodu = (x[j][i + 1].omega - u) * hy; 551 552 if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j - 1][i].omega) * hx; 553 else dfodv = (x[j + 1][i].omega - u) * hx; 554 555 /* Temperature */ 556 u = x[j][i].temp; 557 uxx = (2.0 * u - x[j][i - 1].temp - x[j][i + 1].temp) * hydhx; 558 uyy = (2.0 * u - x[j - 1][i].temp - x[j + 1][i].temp) * hxdhy; 559 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; 560 dftdt = 2.0 * (hydhx + hxdhy) + prandtl * ((vxp - vxm) * hy + (vyp - vym) * hx); 561 if (PetscRealPart(vx) > 0.0) dftdu = prandtl * (u - x[j][i - 1].temp) * hy; 562 else dftdu = prandtl * (x[j][i + 1].temp - u) * hy; 563 564 if (PetscRealPart(vy) > 0.0) dftdv = prandtl * (u - x[j - 1][i].temp) * hx; 565 else dftdv = prandtl * (x[j + 1][i].temp - u) * hx; 566 567 /* invert the system: 568 [ dfu / du 0 0 0 ][yu] = [fu] 569 [ 0 dfv / dv 0 0 ][yv] [fv] 570 [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] 571 [ dft / du dft / dv 0 dft / dt ][yt] [ft] 572 by simple back-substitution 573 */ 574 yu = fu / dfudu; 575 yv = fv / dfvdv; 576 yo = (fomega - (dfodu * yu + dfodv * yv)) / dfodo; 577 yt = (ftemp - (dftdu * yu + dftdv * yv)) / dftdt; 578 579 x[j][i].u = x[j][i].u - yu; 580 x[j][i].v = x[j][i].v - yv; 581 x[j][i].temp = x[j][i].temp - yt; 582 x[j][i].omega = x[j][i].omega - yo; 583 } 584 if (i == 0) { 585 fomega = x[j][i].omega - (x[j][i + 1].v - x[j][i].v) * dhx - bjiomega; 586 ftemp = x[j][i].temp - bjitemp; 587 yo = fomega; 588 yt = ftemp; 589 x[j][i].omega = x[j][i].omega - fomega; 590 x[j][i].temp = x[j][i].temp - ftemp; 591 } 592 if (i == info.mx - 1) { 593 fomega = x[j][i].omega - (x[j][i].v - x[j][i - 1].v) * dhx - bjiomega; 594 ftemp = x[j][i].temp - (PetscReal)(grashof > 0) - bjitemp; 595 yo = fomega; 596 yt = ftemp; 597 x[j][i].omega = x[j][i].omega - fomega; 598 x[j][i].temp = x[j][i].temp - ftemp; 599 } 600 if (j == 0) { 601 fomega = x[j][i].omega + (x[j + 1][i].u - x[j][i].u) * dhy - bjiomega; 602 ftemp = x[j][i].temp - x[j + 1][i].temp - bjitemp; 603 yo = fomega; 604 yt = ftemp; 605 x[j][i].omega = x[j][i].omega - fomega; 606 x[j][i].temp = x[j][i].temp - ftemp; 607 } 608 if (j == info.my - 1) { 609 fomega = x[j][i].omega + (x[j][i].u - x[j - 1][i].u) * dhy - bjiomega; 610 ftemp = x[j][i].temp - x[j - 1][i].temp - bjitemp; 611 yo = fomega; 612 yt = ftemp; 613 x[j][i].omega = x[j][i].omega - fomega; 614 x[j][i].temp = x[j][i].temp - ftemp; 615 } 616 tot_its++; 617 pfnorm = PetscRealPart(fu * fu + fv * fv + fomega * fomega + ftemp * ftemp); 618 pfnorm = PetscSqrtReal(pfnorm); 619 pynorm = PetscRealPart(yu * yu + yv * yv + yo * yo + yt * yt); 620 pynorm = PetscSqrtReal(pynorm); 621 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); 622 pxnorm = PetscSqrtReal(pxnorm); 623 if (l == 0) pfnorm0 = pfnorm; 624 if (rtol * pfnorm0 > pfnorm || atol > pfnorm || pxnorm * stol > pynorm) ptconverged = PETSC_TRUE; 625 } 626 } 627 } 628 } 629 PetscCall(DMDAVecRestoreArrayWrite(da, localX, &x)); 630 if (B) PetscCall(DMDAVecRestoreArrayRead(da, localB, &b)); 631 PetscCall(DMLocalToGlobalBegin(da, localX, INSERT_VALUES, X)); 632 PetscCall(DMLocalToGlobalEnd(da, localX, INSERT_VALUES, X)); 633 PetscCall(PetscLogFlops(tot_its * (84.0 + 41.0 + 26.0))); 634 PetscCall(DMRestoreLocalVector(da, &localX)); 635 if (B) PetscCall(DMRestoreLocalVector(da, &localB)); 636 PetscFunctionReturn(0); 637 } 638 639 /*TEST 640 641 test: 642 nsize: 2 643 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full 644 requires: !single 645 646 test: 647 suffix: 10 648 nsize: 3 649 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres 650 requires: !single 651 652 test: 653 suffix: 11 654 nsize: 4 655 requires: pastix 656 args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 2 -da_refine 4 -ksp_type fgmres 657 658 test: 659 suffix: 12 660 nsize: 12 661 requires: pastix 662 args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 5 -da_refine 4 -ksp_type fgmres 663 664 test: 665 suffix: 13 666 nsize: 3 667 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 668 requires: !single 669 670 test: 671 suffix: 14 672 nsize: 4 673 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres 674 requires: !single 675 676 test: 677 suffix: 14_ds 678 nsize: 4 679 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 680 output_file: output/ex19_2.out 681 requires: !single 682 683 test: 684 suffix: 17 685 args: -snes_monitor_short -ksp_pc_side right 686 requires: !single 687 688 test: 689 suffix: 18 690 args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right 691 requires: x !single 692 693 test: 694 suffix: 19 695 nsize: 2 696 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc 697 requires: !single 698 699 test: 700 suffix: 20 701 nsize: 2 702 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 703 requires: !single 704 705 test: 706 suffix: 2 707 nsize: 4 708 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 709 requires: !single 710 711 test: 712 suffix: 2_bcols1 713 nsize: 4 714 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 715 output_file: output/ex19_2.out 716 requires: !single 717 718 test: 719 suffix: 3 720 nsize: 4 721 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 2 723 724 test: 725 suffix: 4 726 nsize: 12 727 requires: mumps 728 args: -da_refine 3 -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_ksp_type preonly -redundant_pc_factor_mat_solver_type mumps -pc_redundant_number 5 729 output_file: output/ex19_3.out 730 731 test: 732 suffix: 6 733 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 734 requires: !single 735 736 test: 737 suffix: 7 738 nsize: 3 739 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres 740 741 requires: !single 742 test: 743 suffix: 8 744 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 745 requires: !single 746 747 test: 748 suffix: 9 749 nsize: 3 750 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres 751 requires: !single 752 753 test: 754 suffix: aspin 755 nsize: 4 756 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short 757 requires: !single 758 759 test: 760 suffix: bcgsl 761 nsize: 2 762 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view 763 requires: !single 764 765 test: 766 suffix: bcols1 767 nsize: 2 768 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 769 output_file: output/ex19_1.out 770 requires: !single 771 772 test: 773 suffix: bjacobi 774 nsize: 4 775 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 776 requires: !single 777 778 test: 779 suffix: cgne 780 args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned 781 filter: grep -v HERMITIAN 782 requires: !single 783 784 test: 785 suffix: cgs 786 args: -da_refine 1 -ksp_monitor_short -ksp_type cgs 787 requires: !single 788 789 test: 790 suffix: composite_fieldsplit 791 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 792 requires: !single 793 794 test: 795 suffix: composite_fieldsplit_bjacobi 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_fieldsplit_bjacobi_2 801 nsize: 4 802 args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,bjacobi -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -sub_1_pc_bjacobi_blocks 16 -sub_1_sub_pc_type lu -snes_monitor_short -ksp_monitor_short 803 requires: !single 804 805 test: 806 suffix: composite_gs_newton 807 nsize: 2 808 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 809 requires: !single 810 811 test: 812 suffix: cuda 813 requires: cuda !single 814 args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 815 816 test: 817 suffix: draw 818 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 819 requires: x !single 820 821 test: 822 suffix: drawports 823 args: -snes_monitor_solution draw::draw_ports -da_refine 1 824 output_file: output/ex19_draw.out 825 requires: x !single 826 827 test: 828 suffix: fas 829 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 100 830 requires: !single 831 832 test: 833 suffix: fas_full 834 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 100 835 requires: !single 836 837 test: 838 suffix: fdcoloring_ds 839 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds 840 output_file: output/ex19_2.out 841 requires: !single 842 843 test: 844 suffix: fdcoloring_ds_baij 845 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij 846 output_file: output/ex19_2.out 847 requires: !single 848 849 test: 850 suffix: fdcoloring_ds_bcols1 851 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 852 output_file: output/ex19_2.out 853 requires: !single 854 855 test: 856 suffix: fdcoloring_wp 857 args: -da_refine 3 -snes_monitor_short -pc_type mg 858 requires: !single 859 860 test: 861 suffix: fdcoloring_wp_baij 862 args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij 863 output_file: output/ex19_fdcoloring_wp.out 864 requires: !single 865 866 test: 867 suffix: fdcoloring_wp_bcols1 868 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 869 output_file: output/ex19_fdcoloring_wp.out 870 requires: !single 871 872 test: 873 suffix: fieldsplit_2 874 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 -snes_monitor_short -ksp_monitor_short 875 requires: !single 876 877 test: 878 suffix: fieldsplit_3 879 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 880 requires: !single 881 882 test: 883 suffix: fieldsplit_4 884 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 885 requires: !single 886 887 # HYPRE PtAP broken with complex numbers 888 test: 889 suffix: fieldsplit_hypre 890 nsize: 2 891 requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 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_0_pc_factor_mat_solver_type mumps -fieldsplit_1_pc_type hypre -fieldsplit_1_pc_hypre_type boomeramg -snes_monitor_short -ksp_monitor_short 893 894 test: 895 suffix: fieldsplit_mumps 896 nsize: 2 897 requires: mumps 898 args: -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_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 899 output_file: output/ex19_fieldsplit_5.out 900 901 test: 902 suffix: greedy_coloring 903 nsize: 2 904 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>&1 905 requires: !single 906 907 # HYPRE PtAP broken with complex numbers 908 test: 909 suffix: hypre 910 nsize: 2 911 requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 912 args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned 913 914 # ibcgs is broken when using device vectors 915 test: 916 suffix: ibcgs 917 nsize: 2 918 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view 919 requires: !complex !single 920 921 test: 922 suffix: kaczmarz 923 nsize: 2 924 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view 925 requires: !single 926 927 test: 928 suffix: klu 929 requires: suitesparse 930 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu 931 output_file: output/ex19_superlu.out 932 933 test: 934 suffix: klu_2 935 requires: suitesparse 936 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd 937 output_file: output/ex19_superlu.out 938 939 test: 940 suffix: klu_3 941 requires: suitesparse 942 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 943 output_file: output/ex19_superlu.out 944 945 test: 946 suffix: ml 947 nsize: 2 948 requires: ml 949 args: -da_refine 3 -snes_monitor_short -pc_type ml 950 951 test: 952 suffix: ngmres_fas 953 args: -da_refine 4 -snes_monitor_short -snes_type ngmres -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_ngs_sweeps 3 -npc_fas_levels_snes_ngs_atol 0.0 -npc_fas_levels_snes_ngs_stol 0.0 -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_snes_max_it 1 -npc_snes_fas_smoothup 6 -npc_snes_fas_smoothdown 6 -lidvelocity 100 -grashof 4e4 954 requires: !single 955 956 test: 957 suffix: ngmres_fas_gssecant 958 args: -da_refine 3 -snes_monitor_short -snes_type ngmres -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_max_it 6 -npc_fas_levels_snes_ngs_secant -npc_fas_levels_snes_ngs_max_it 1 -npc_fas_coarse_snes_max_it 1 -lidvelocity 100 -grashof 4e4 959 requires: !single 960 961 test: 962 suffix: ngmres_fas_ms 963 nsize: 2 964 args: -snes_grid_sequence 2 -lidvelocity 200 -grashof 1e4 -snes_monitor_short -snes_view -snes_converged_reason -snes_type ngmres -npc_snes_type fas -npc_fas_coarse_snes_type newtonls -npc_fas_coarse_ksp_type preonly -npc_snes_max_it 1 965 requires: !single 966 967 test: 968 suffix: ngmres_nasm 969 nsize: 4 970 args: -da_refine 4 -da_overlap 2 -snes_monitor_short -snes_type ngmres -snes_max_it 10 -npc_snes_type nasm -npc_snes_nasm_type basic -grashof 4e4 -lidvelocity 100 971 requires: !single 972 973 test: 974 suffix: ngs 975 args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 976 requires: !single 977 978 test: 979 suffix: ngs_fd 980 args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 981 requires: !single 982 983 test: 984 suffix: parms 985 nsize: 2 986 requires: parms 987 args: -pc_type parms -ksp_monitor_short -snes_view 988 989 test: 990 suffix: superlu 991 requires: superlu 992 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu 993 994 test: 995 suffix: superlu_sell 996 requires: superlu 997 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu -dm_mat_type sell -pc_factor_mat_ordering_type natural 998 output_file: output/ex19_superlu.out 999 1000 test: 1001 suffix: superlu_dist 1002 requires: superlu_dist 1003 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1004 output_file: output/ex19_superlu.out 1005 1006 test: 1007 suffix: superlu_dist_2 1008 nsize: 2 1009 requires: superlu_dist 1010 args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist 1011 output_file: output/ex19_superlu.out 1012 1013 test: 1014 suffix: superlu_dist_3d 1015 nsize: 4 1016 requires: superlu_dist !defined(PETSCTEST_VALGRIND) 1017 filter: grep -v iam | grep -v openMP 1018 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 1019 1020 test: 1021 suffix: superlu_equil 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 1024 1025 test: 1026 suffix: superlu_equil_sell 1027 requires: superlu 1028 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 1029 output_file: output/ex19_superlu_equil.out 1030 1031 test: 1032 suffix: tcqmr 1033 args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr 1034 requires: !single 1035 1036 test: 1037 suffix: tfqmr 1038 args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr 1039 requires: !single 1040 1041 test: 1042 suffix: umfpack 1043 requires: suitesparse 1044 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 1045 1046 test: 1047 suffix: tut_1 1048 nsize: 4 1049 requires: !single 1050 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view 1051 1052 test: 1053 suffix: tut_2 1054 nsize: 4 1055 requires: !single 1056 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg 1057 1058 # HYPRE PtAP broken with complex numbers 1059 test: 1060 suffix: tut_3 1061 nsize: 4 1062 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE) 1063 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type hypre 1064 1065 test: 1066 suffix: tut_8 1067 nsize: 4 1068 requires: ml !single 1069 args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml 1070 1071 test: 1072 suffix: tut_4 1073 nsize: 1 1074 requires: !single 1075 args: -da_refine 5 -log_view 1076 filter: head -n 2 1077 filter_output: head -n 2 1078 1079 test: 1080 suffix: tut_5 1081 nsize: 1 1082 requires: !single 1083 args: -da_refine 5 -log_view -pc_type mg 1084 filter: head -n 2 1085 filter_output: head -n 2 1086 1087 test: 1088 suffix: tut_6 1089 nsize: 4 1090 requires: !single 1091 args: -da_refine 5 -log_view 1092 filter: head -n 2 1093 filter_output: head -n 2 1094 1095 test: 1096 suffix: tut_7 1097 nsize: 4 1098 requires: !single 1099 args: -da_refine 5 -log_view -pc_type mg 1100 filter: head -n 2 1101 filter_output: head -n 2 1102 1103 test: 1104 suffix: cuda_1 1105 nsize: 1 1106 requires: cuda 1107 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 1108 1109 test: 1110 suffix: cuda_2 1111 nsize: 3 1112 requires: cuda !single 1113 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 1114 1115 test: 1116 suffix: cuda_dm_bind_below 1117 nsize: 2 1118 requires: cuda 1119 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 1120 filter: awk "/Level/ {print \$NF}" 1121 1122 test: 1123 suffix: viennacl_dm_bind_below 1124 nsize: 2 1125 requires: viennacl 1126 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 1127 filter: awk "/Level/ {print \$NF}" 1128 1129 test: 1130 suffix: seqbaijmkl 1131 nsize: 1 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: mpibaijmkl 1137 nsize: 2 1138 requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE) 1139 args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view 1140 1141 test: 1142 suffix: cpardiso 1143 nsize: 4 1144 requires: mkl_cpardiso 1145 args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor 1146 1147 test: 1148 suffix: logviewmemory 1149 requires: defined(PETSC_USE_LOG) !defined(PETSCTEST_VALGRIND) 1150 args: -log_view -log_view_memory -da_refine 4 1151 filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21" 1152 1153 test: 1154 suffix: fs 1155 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 1156 1157 test: 1158 suffix: asm_matconvert 1159 args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view 1160 1161 test: 1162 suffix: euclid 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 1166 1167 test: 1168 suffix: euclid_bj 1169 nsize: 2 1170 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1171 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj 1172 1173 test: 1174 suffix: euclid_droptolerance 1175 nsize: 1 1176 requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE) 1177 args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_droptolerance .1 1178 1179 test: 1180 suffix: failure_size 1181 nsize: 1 1182 requires: !defined(PETSC_USE_64BIT_INDICES) !defined(PETSCTEST_VALGRIND) 1183 args: -da_refine 100 -petsc_ci_portable_error_output -error_output_stdout 1184 filter: egrep -v "(options_left|memory block|leaked context|not freed before MPI_Finalize|Could be the program crashed)" 1185 1186 TEST*/ 1187