1 static char help[] = "Linear elasticity in 2d and 3d with finite elements.\n\ 2 We solve the elasticity problem in a rectangular\n\ 3 domain, using a parallel unstructured mesh (DMPLEX) to discretize it.\n\ 4 This example supports automatic convergence estimation\n\ 5 and eventually adaptivity.\n\n\n"; 6 7 /* 8 https://en.wikipedia.org/wiki/Linear_elasticity 9 */ 10 11 #include <petscdmplex.h> 12 #include <petscsnes.h> 13 #include <petscds.h> 14 #include <petscconvest.h> 15 16 typedef enum {SOL_VLAP_QUADRATIC, SOL_ELAS_QUADRATIC, SOL_VLAP_TRIG, SOL_ELAS_TRIG, SOL_ELAS_AXIAL_DISP, SOL_ELAS_UNIFORM_STRAIN, SOL_MASS_QUADRATIC, NUM_SOLUTION_TYPES} SolutionType; 17 const char *solutionTypes[NUM_SOLUTION_TYPES+1] = {"vlap_quad", "elas_quad", "vlap_trig", "elas_trig", "elas_axial_disp", "elas_uniform_strain", "mass_quad", "unknown"}; 18 19 typedef enum {DEFORM_NONE, DEFORM_SHEAR, DEFORM_STEP, NUM_DEFORM_TYPES} DeformType; 20 const char *deformTypes[NUM_DEFORM_TYPES+1] = {"none", "shear", "step", "unknown"}; 21 22 typedef struct { 23 /* Domain and mesh definition */ 24 char dmType[256]; /* DM type for the solve */ 25 DeformType deform; /* Domain deformation type */ 26 /* Problem definition */ 27 SolutionType solType; /* Type of exact solution */ 28 /* Solver definition */ 29 PetscBool useNearNullspace; /* Use the rigid body modes as a near nullspace for AMG */ 30 } AppCtx; 31 32 static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 33 { 34 PetscInt d; 35 for (d = 0; d < dim; ++d) u[d] = 0.0; 36 return 0; 37 } 38 39 static PetscErrorCode quadratic_2d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 40 { 41 u[0] = x[0]*x[0]; 42 u[1] = x[1]*x[1] - 2.0*x[0]*x[1]; 43 return 0; 44 } 45 46 static PetscErrorCode quadratic_3d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 47 { 48 u[0] = x[0]*x[0]; 49 u[1] = x[1]*x[1] - 2.0*x[0]*x[1]; 50 u[2] = x[2]*x[2] - 2.0*x[1]*x[2]; 51 return 0; 52 } 53 54 /* 55 u = x^2 56 v = y^2 - 2xy 57 Delta <u,v> - f = <2, 2> - <2, 2> 58 59 u = x^2 60 v = y^2 - 2xy 61 w = z^2 - 2yz 62 Delta <u,v,w> - f = <2, 2, 2> - <2, 2, 2> 63 */ 64 static void f0_vlap_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 65 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 66 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 67 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 68 { 69 PetscInt d; 70 for (d = 0; d < dim; ++d) f0[d] += 2.0; 71 } 72 73 /* 74 u = x^2 75 v = y^2 - 2xy 76 \varepsilon = / 2x -y \ 77 \ -y 2y - 2x / 78 Tr(\varepsilon) = div u = 2y 79 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 80 = \lambda \partial_j (2y) + 2\mu < 2-1, 2 > 81 = \lambda < 0, 2 > + \mu < 2, 4 > 82 83 u = x^2 84 v = y^2 - 2xy 85 w = z^2 - 2yz 86 \varepsilon = / 2x -y 0 \ 87 | -y 2y - 2x -z | 88 \ 0 -z 2z - 2y/ 89 Tr(\varepsilon) = div u = 2z 90 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 91 = \lambda \partial_j (2z) + 2\mu < 2-1, 2-1, 2 > 92 = \lambda < 0, 0, 2 > + \mu < 2, 2, 4 > 93 */ 94 static void f0_elas_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 95 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 96 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 97 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 98 { 99 const PetscReal mu = 1.0; 100 const PetscReal lambda = 1.0; 101 PetscInt d; 102 103 for (d = 0; d < dim-1; ++d) f0[d] += 2.0*mu; 104 f0[dim-1] += 2.0*lambda + 4.0*mu; 105 } 106 107 static void f0_mass_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 108 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 109 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 110 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 111 { 112 if (dim == 2) { 113 f0[0] -= x[0]*x[0]; 114 f0[1] -= x[1]*x[1] - 2.0*x[0]*x[1]; 115 } else { 116 f0[0] -= x[0]*x[0]; 117 f0[1] -= x[1]*x[1] - 2.0*x[0]*x[1]; 118 f0[2] -= x[2]*x[2] - 2.0*x[1]*x[2]; 119 } 120 } 121 122 static PetscErrorCode trig_2d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 123 { 124 u[0] = PetscSinReal(2.0*PETSC_PI*x[0]); 125 u[1] = PetscSinReal(2.0*PETSC_PI*x[1]) - 2.0*x[0]*x[1]; 126 return 0; 127 } 128 129 static PetscErrorCode trig_3d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 130 { 131 u[0] = PetscSinReal(2.0*PETSC_PI*x[0]); 132 u[1] = PetscSinReal(2.0*PETSC_PI*x[1]) - 2.0*x[0]*x[1]; 133 u[2] = PetscSinReal(2.0*PETSC_PI*x[2]) - 2.0*x[1]*x[2]; 134 return 0; 135 } 136 137 /* 138 u = sin(2 pi x) 139 v = sin(2 pi y) - 2xy 140 Delta <u,v> - f = <-4 pi^2 u, -4 pi^2 v> - <-4 pi^2 sin(2 pi x), -4 pi^2 sin(2 pi y)> 141 142 u = sin(2 pi x) 143 v = sin(2 pi y) - 2xy 144 w = sin(2 pi z) - 2yz 145 Delta <u,v,2> - f = <-4 pi^2 u, -4 pi^2 v, -4 pi^2 w> - <-4 pi^2 sin(2 pi x), -4 pi^2 sin(2 pi y), -4 pi^2 sin(2 pi z)> 146 */ 147 static void f0_vlap_trig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 148 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 149 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 150 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 151 { 152 PetscInt d; 153 for (d = 0; d < dim; ++d) f0[d] += -4.0*PetscSqr(PETSC_PI)*PetscSinReal(2.0*PETSC_PI*x[d]); 154 } 155 156 /* 157 u = sin(2 pi x) 158 v = sin(2 pi y) - 2xy 159 \varepsilon = / 2 pi cos(2 pi x) -y \ 160 \ -y 2 pi cos(2 pi y) - 2x / 161 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y)) - 2 x 162 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 163 = \lambda \partial_j 2 pi (cos(2 pi x) + cos(2 pi y)) + 2\mu < -4 pi^2 sin(2 pi x) - 1, -4 pi^2 sin(2 pi y) > 164 = \lambda < -4 pi^2 sin(2 pi x) - 2, -4 pi^2 sin(2 pi y) > + \mu < -8 pi^2 sin(2 pi x) - 2, -8 pi^2 sin(2 pi y) > 165 166 u = sin(2 pi x) 167 v = sin(2 pi y) - 2xy 168 w = sin(2 pi z) - 2yz 169 \varepsilon = / 2 pi cos(2 pi x) -y 0 \ 170 | -y 2 pi cos(2 pi y) - 2x -z | 171 \ 0 -z 2 pi cos(2 pi z) - 2y / 172 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y) + cos(2 pi z)) - 2 x - 2 y 173 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 174 = \lambda \partial_j (2 pi (cos(2 pi x) + cos(2 pi y) + cos(2 pi z)) - 2 x - 2 y) + 2\mu < -4 pi^2 sin(2 pi x) - 1, -4 pi^2 sin(2 pi y) - 1, -4 pi^2 sin(2 pi z) > 175 = \lambda < -4 pi^2 sin(2 pi x) - 2, -4 pi^2 sin(2 pi y) - 2, -4 pi^2 sin(2 pi z) > + 2\mu < -4 pi^2 sin(2 pi x) - 1, -4 pi^2 sin(2 pi y) - 1, -4 pi^2 sin(2 pi z) > 176 */ 177 static void f0_elas_trig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 178 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 179 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 180 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 181 { 182 const PetscReal mu = 1.0; 183 const PetscReal lambda = 1.0; 184 const PetscReal fact = 4.0*PetscSqr(PETSC_PI); 185 PetscInt d; 186 187 for (d = 0; d < dim; ++d) f0[d] += -(2.0*mu + lambda) * fact*PetscSinReal(2.0*PETSC_PI*x[d]) - (d < dim-1 ? 2.0*(mu + lambda) : 0.0); 188 } 189 190 static PetscErrorCode axial_disp_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 191 { 192 const PetscReal mu = 1.0; 193 const PetscReal lambda = 1.0; 194 const PetscReal N = 1.0; 195 PetscInt d; 196 197 u[0] = (3.*lambda*lambda + 8.*lambda*mu + 4*mu*mu)/(4*mu*(3*lambda*lambda + 5.*lambda*mu + 2*mu*mu))*N*x[0]; 198 u[1] = -0.25*lambda/mu/(lambda+mu)*N*x[1]; 199 for (d = 2; d < dim; ++d) u[d] = 0.0; 200 return 0; 201 } 202 203 /* 204 We will pull/push on the right side of a block of linearly elastic material. The uniform traction conditions on the 205 right side of the box will result in a uniform strain along x and y. The Neumann BC is given by 206 207 n_i \sigma_{ij} = t_i 208 209 u = (1/(2\mu) - 1) x 210 v = -y 211 f = 0 212 t = <4\mu/\lambda (\lambda + \mu), 0> 213 \varepsilon = / 1/(2\mu) - 1 0 \ 214 \ 0 -1 / 215 Tr(\varepsilon) = div u = 1/(2\mu) - 2 216 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 217 = \lambda \partial_j (1/(2\mu) - 2) + 2\mu < 0, 0 > 218 = \lambda < 0, 0 > + \mu < 0, 0 > = 0 219 NBC = <1,0> . <4\mu/\lambda (\lambda + \mu), 0> = 4\mu/\lambda (\lambda + \mu) 220 221 u = x - 1/2 222 v = 0 223 w = 0 224 \varepsilon = / x 0 0 \ 225 | 0 0 0 | 226 \ 0 0 0 / 227 Tr(\varepsilon) = div u = x 228 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 229 = \lambda \partial_j x + 2\mu < 1, 0, 0 > 230 = \lambda < 1, 0, 0 > + \mu < 2, 0, 0 > 231 */ 232 static void f0_elas_axial_disp_bd_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 233 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 234 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 235 PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 236 { 237 const PetscReal N = -1.0; 238 239 f0[0] = N; 240 } 241 242 static PetscErrorCode uniform_strain_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 243 { 244 const PetscReal eps_xx = 0.1; 245 const PetscReal eps_xy = 0.3; 246 const PetscReal eps_yy = 0.25; 247 PetscInt d; 248 249 u[0] = eps_xx*x[0] + eps_xy*x[1]; 250 u[1] = eps_xy*x[0] + eps_yy*x[1]; 251 for (d = 2; d < dim; ++d) u[d] = 0.0; 252 return 0; 253 } 254 255 static void f0_mass_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 256 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 257 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 258 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 259 { 260 const PetscInt Nc = dim; 261 PetscInt c; 262 263 for (c = 0; c < Nc; ++c) f0[c] = u[c]; 264 } 265 266 static void f1_vlap_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 267 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 268 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 269 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[]) 270 { 271 const PetscInt Nc = dim; 272 PetscInt c, d; 273 274 for (c = 0; c < Nc; ++c) for (d = 0; d < dim; ++d) f1[c*dim+d] += u_x[c*dim+d]; 275 } 276 277 static void f1_elas_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 278 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 279 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 280 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[]) 281 { 282 const PetscInt Nc = dim; 283 const PetscReal mu = 1.0; 284 const PetscReal lambda = 1.0; 285 PetscInt c, d; 286 287 for (c = 0; c < Nc; ++c) { 288 for (d = 0; d < dim; ++d) { 289 f1[c*dim+d] += mu*(u_x[c*dim+d] + u_x[d*dim+c]); 290 f1[c*dim+c] += lambda*u_x[d*dim+d]; 291 } 292 } 293 } 294 295 static void g0_mass_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 296 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 297 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 298 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[]) 299 { 300 const PetscInt Nc = dim; 301 PetscInt c; 302 303 for (c = 0; c < Nc; ++c) g0[c*Nc + c] = 1.0; 304 } 305 306 static void g3_vlap_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 307 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 308 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 309 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[]) 310 { 311 const PetscInt Nc = dim; 312 PetscInt c, d; 313 314 for (c = 0; c < Nc; ++c) { 315 for (d = 0; d < dim; ++d) { 316 g3[((c*Nc + c)*dim + d)*dim + d] = 1.0; 317 } 318 } 319 } 320 321 /* 322 \partial_df \phi_fc g_{fc,gc,df,dg} \partial_dg \phi_gc 323 324 \partial_df \phi_fc \lambda \delta_{fc,df} \sum_gc \partial_dg \phi_gc \delta_{gc,dg} 325 = \partial_fc \phi_fc \sum_gc \partial_gc \phi_gc 326 */ 327 static void g3_elas_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 328 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 329 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 330 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[]) 331 { 332 const PetscInt Nc = dim; 333 const PetscReal mu = 1.0; 334 const PetscReal lambda = 1.0; 335 PetscInt c, d; 336 337 for (c = 0; c < Nc; ++c) { 338 for (d = 0; d < dim; ++d) { 339 g3[((c*Nc + c)*dim + d)*dim + d] += mu; 340 g3[((c*Nc + d)*dim + d)*dim + c] += mu; 341 g3[((c*Nc + d)*dim + c)*dim + d] += lambda; 342 } 343 } 344 } 345 346 static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options) 347 { 348 PetscInt sol = 0, def = 0; 349 PetscErrorCode ierr; 350 351 PetscFunctionBeginUser; 352 options->deform = DEFORM_NONE; 353 options->solType = SOL_VLAP_QUADRATIC; 354 options->useNearNullspace = PETSC_TRUE; 355 ierr = PetscStrncpy(options->dmType, DMPLEX, 256);CHKERRQ(ierr); 356 357 ierr = PetscOptionsBegin(comm, "", "Linear Elasticity Problem Options", "DMPLEX");CHKERRQ(ierr); 358 ierr = PetscOptionsEList("-deform_type", "Type of domain deformation", "ex17.c", deformTypes, NUM_DEFORM_TYPES, deformTypes[options->deform], &def, NULL);CHKERRQ(ierr); 359 options->deform = (DeformType) def; 360 ierr = PetscOptionsEList("-sol_type", "Type of exact solution", "ex17.c", solutionTypes, NUM_SOLUTION_TYPES, solutionTypes[options->solType], &sol, NULL);CHKERRQ(ierr); 361 options->solType = (SolutionType) sol; 362 ierr = PetscOptionsBool("-near_nullspace", "Use the rigid body modes as an AMG near nullspace", "ex17.c", options->useNearNullspace, &options->useNearNullspace, NULL);CHKERRQ(ierr); 363 ierr = PetscOptionsFList("-dm_type", "Convert DMPlex to another format", "ex17.c", DMList, options->dmType, options->dmType, 256, NULL);CHKERRQ(ierr); 364 ierr = PetscOptionsEnd();CHKERRQ(ierr); 365 PetscFunctionReturn(0); 366 } 367 368 static PetscErrorCode DMPlexDistortGeometry(DM dm) 369 { 370 DM cdm; 371 DMLabel label; 372 Vec coordinates; 373 PetscScalar *coords; 374 PetscReal mid = 0.5; 375 PetscInt cdim, d, vStart, vEnd, v; 376 PetscErrorCode ierr; 377 378 PetscFunctionBeginUser; 379 ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr); 380 ierr = DMGetCoordinateDim(dm, &cdim);CHKERRQ(ierr); 381 ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr); 382 ierr = DMGetLabel(dm, "marker", &label);CHKERRQ(ierr); 383 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 384 ierr = VecGetArrayWrite(coordinates, &coords);CHKERRQ(ierr); 385 for (v = vStart; v < vEnd; ++v) { 386 PetscScalar *pcoords, shift; 387 PetscInt val; 388 389 ierr = DMLabelGetValue(label, v, &val);CHKERRQ(ierr); 390 if (val >= 0) continue; 391 ierr = DMPlexPointLocalRef(cdm, v, coords, &pcoords);CHKERRQ(ierr); 392 shift = 0.2 * PetscAbsScalar(pcoords[0] - mid); 393 shift = PetscRealPart(pcoords[0]) > mid ? shift : -shift; 394 for (d = 1; d < cdim; ++d) pcoords[d] += shift; 395 } 396 ierr = VecRestoreArrayWrite(coordinates, &coords);CHKERRQ(ierr); 397 PetscFunctionReturn(0); 398 } 399 400 static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm) 401 { 402 PetscErrorCode ierr; 403 404 PetscFunctionBeginUser; 405 ierr = DMCreate(comm, dm);CHKERRQ(ierr); 406 ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr); 407 ierr = DMSetFromOptions(*dm);CHKERRQ(ierr); 408 switch (user->deform) { 409 case DEFORM_NONE: break; 410 case DEFORM_SHEAR: ierr = DMPlexShearGeometry(*dm, DM_X, NULL);CHKERRQ(ierr);break; 411 case DEFORM_STEP: ierr = DMPlexDistortGeometry(*dm);CHKERRQ(ierr);break; 412 default: SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid deformation type: %s (%D)", deformTypes[PetscMin(user->deform, NUM_DEFORM_TYPES)], user->deform); 413 } 414 ierr = DMSetApplicationContext(*dm, user);CHKERRQ(ierr); 415 ierr = DMViewFromOptions(*dm, NULL, "-dm_view");CHKERRQ(ierr); 416 PetscFunctionReturn(0); 417 } 418 419 static PetscErrorCode SetupPrimalProblem(DM dm, AppCtx *user) 420 { 421 PetscErrorCode (*exact)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *); 422 PetscDS ds; 423 PetscWeakForm wf; 424 DMLabel label; 425 PetscInt id, bd; 426 PetscInt dim; 427 PetscErrorCode ierr; 428 429 PetscFunctionBeginUser; 430 ierr = DMGetDS(dm, &ds);CHKERRQ(ierr); 431 ierr = PetscDSGetWeakForm(ds, &wf);CHKERRQ(ierr); 432 ierr = PetscDSGetSpatialDimension(ds, &dim);CHKERRQ(ierr); 433 switch (user->solType) { 434 case SOL_MASS_QUADRATIC: 435 ierr = PetscDSSetResidual(ds, 0, f0_mass_u, NULL);CHKERRQ(ierr); 436 ierr = PetscDSSetJacobian(ds, 0, 0, g0_mass_uu, NULL, NULL, NULL);CHKERRQ(ierr); 437 ierr = PetscWeakFormSetIndexResidual(wf, NULL, 0, 0, 0, 1, f0_mass_quadratic_u, 0, NULL);CHKERRQ(ierr); 438 switch (dim) { 439 case 2: exact = quadratic_2d_u;break; 440 case 3: exact = quadratic_3d_u;break; 441 default: SETERRQ1(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %D", dim); 442 } 443 break; 444 case SOL_VLAP_QUADRATIC: 445 ierr = PetscDSSetResidual(ds, 0, f0_vlap_quadratic_u, f1_vlap_u);CHKERRQ(ierr); 446 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_vlap_uu);CHKERRQ(ierr); 447 switch (dim) { 448 case 2: exact = quadratic_2d_u;break; 449 case 3: exact = quadratic_3d_u;break; 450 default: SETERRQ1(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %D", dim); 451 } 452 break; 453 case SOL_ELAS_QUADRATIC: 454 ierr = PetscDSSetResidual(ds, 0, f0_elas_quadratic_u, f1_elas_u);CHKERRQ(ierr); 455 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu);CHKERRQ(ierr); 456 switch (dim) { 457 case 2: exact = quadratic_2d_u;break; 458 case 3: exact = quadratic_3d_u;break; 459 default: SETERRQ1(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %D", dim); 460 } 461 break; 462 case SOL_VLAP_TRIG: 463 ierr = PetscDSSetResidual(ds, 0, f0_vlap_trig_u, f1_vlap_u);CHKERRQ(ierr); 464 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_vlap_uu);CHKERRQ(ierr); 465 switch (dim) { 466 case 2: exact = trig_2d_u;break; 467 case 3: exact = trig_3d_u;break; 468 default: SETERRQ1(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %D", dim); 469 } 470 break; 471 case SOL_ELAS_TRIG: 472 ierr = PetscDSSetResidual(ds, 0, f0_elas_trig_u, f1_elas_u);CHKERRQ(ierr); 473 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu);CHKERRQ(ierr); 474 switch (dim) { 475 case 2: exact = trig_2d_u;break; 476 case 3: exact = trig_3d_u;break; 477 default: SETERRQ1(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %D", dim); 478 } 479 break; 480 case SOL_ELAS_AXIAL_DISP: 481 ierr = PetscDSSetResidual(ds, 0, NULL, f1_elas_u);CHKERRQ(ierr); 482 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu);CHKERRQ(ierr); 483 id = dim == 3 ? 5 : 2; 484 ierr = DMGetLabel(dm, "marker", &label);CHKERRQ(ierr); 485 ierr = DMAddBoundary(dm, DM_BC_NATURAL, "right", label, 1, &id, 0, 0, NULL, (void (*)(void)) NULL, NULL, user, &bd);CHKERRQ(ierr); 486 ierr = PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr); 487 ierr = PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_elas_axial_disp_bd_u, 0, NULL);CHKERRQ(ierr); 488 exact = axial_disp_u; 489 break; 490 case SOL_ELAS_UNIFORM_STRAIN: 491 ierr = PetscDSSetResidual(ds, 0, NULL, f1_elas_u);CHKERRQ(ierr); 492 ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu);CHKERRQ(ierr); 493 exact = uniform_strain_u; 494 break; 495 default: SETERRQ2(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid solution type: %s (%D)", solutionTypes[PetscMin(user->solType, NUM_SOLUTION_TYPES)], user->solType); 496 } 497 ierr = PetscDSSetExactSolution(ds, 0, exact, user);CHKERRQ(ierr); 498 ierr = DMGetLabel(dm, "marker", &label);CHKERRQ(ierr); 499 if (user->solType == SOL_ELAS_AXIAL_DISP) { 500 PetscInt cmp; 501 502 id = dim == 3 ? 6 : 4; 503 cmp = 0; 504 ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "left", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL);CHKERRQ(ierr); 505 cmp = dim == 3 ? 2 : 1; 506 id = dim == 3 ? 1 : 1; 507 ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "bottom", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL);CHKERRQ(ierr); 508 if (dim == 3) { 509 cmp = 1; 510 id = 3; 511 ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "front", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL);CHKERRQ(ierr); 512 } 513 } else { 514 id = 1; 515 ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "wall", label, 1, &id, 0, 0, NULL, (void (*)(void)) exact, NULL, user, NULL);CHKERRQ(ierr); 516 } 517 PetscFunctionReturn(0); 518 } 519 520 static PetscErrorCode CreateElasticityNullSpace(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullspace) 521 { 522 PetscErrorCode ierr; 523 524 PetscFunctionBegin; 525 ierr = DMPlexCreateRigidBody(dm, origField, nullspace);CHKERRQ(ierr); 526 PetscFunctionReturn(0); 527 } 528 529 PetscErrorCode SetupFE(DM dm, const char name[], PetscErrorCode (*setup)(DM, AppCtx *), void *ctx) 530 { 531 AppCtx *user = (AppCtx *) ctx; 532 DM cdm = dm; 533 PetscFE fe; 534 char prefix[PETSC_MAX_PATH_LEN]; 535 DMPolytopeType ct; 536 PetscBool simplex; 537 PetscInt dim, cStart; 538 PetscErrorCode ierr; 539 540 PetscFunctionBegin; 541 /* Create finite element */ 542 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 543 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, NULL);CHKERRQ(ierr); 544 ierr = DMPlexGetCellType(dm, cStart, &ct);CHKERRQ(ierr); 545 simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct)+1 ? PETSC_TRUE : PETSC_FALSE; 546 ierr = PetscSNPrintf(prefix, PETSC_MAX_PATH_LEN, "%s_", name);CHKERRQ(ierr); 547 ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, dim, simplex, name ? prefix : NULL, -1, &fe);CHKERRQ(ierr); 548 ierr = PetscObjectSetName((PetscObject) fe, name);CHKERRQ(ierr); 549 /* Set discretization and boundary conditions for each mesh */ 550 ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr); 551 ierr = DMCreateDS(dm);CHKERRQ(ierr); 552 ierr = (*setup)(dm, user);CHKERRQ(ierr); 553 while (cdm) { 554 ierr = DMCopyDisc(dm, cdm);CHKERRQ(ierr); 555 if (user->useNearNullspace) {ierr = DMSetNearNullSpaceConstructor(cdm, 0, CreateElasticityNullSpace);CHKERRQ(ierr);} 556 /* TODO: Check whether the boundary of coarse meshes is marked */ 557 ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr); 558 } 559 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 560 PetscFunctionReturn(0); 561 } 562 563 int main(int argc, char **argv) 564 { 565 DM dm; /* Problem specification */ 566 SNES snes; /* Nonlinear solver */ 567 Vec u; /* Solutions */ 568 AppCtx user; /* User-defined work context */ 569 PetscErrorCode ierr; 570 571 ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr; 572 ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr); 573 /* Primal system */ 574 ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr); 575 ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr); 576 ierr = SNESSetDM(snes, dm);CHKERRQ(ierr); 577 ierr = SetupFE(dm, "displacement", SetupPrimalProblem, &user);CHKERRQ(ierr); 578 ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr); 579 ierr = VecSet(u, 0.0);CHKERRQ(ierr); 580 ierr = PetscObjectSetName((PetscObject) u, "displacement");CHKERRQ(ierr); 581 ierr = DMPlexSetSNESLocalFEM(dm, &user, &user, &user);CHKERRQ(ierr); 582 ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); 583 ierr = DMSNESCheckFromOptions(snes, u);CHKERRQ(ierr); 584 ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr); 585 ierr = SNESGetSolution(snes, &u);CHKERRQ(ierr); 586 ierr = VecViewFromOptions(u, NULL, "-displacement_view");CHKERRQ(ierr); 587 /* Cleanup */ 588 ierr = VecDestroy(&u);CHKERRQ(ierr); 589 ierr = SNESDestroy(&snes);CHKERRQ(ierr); 590 ierr = DMDestroy(&dm);CHKERRQ(ierr); 591 ierr = PetscFinalize(); 592 return ierr; 593 } 594 595 /*TEST 596 597 testset: 598 args: -dm_plex_box_faces 1,1,1 599 600 test: 601 suffix: 2d_p1_quad_vlap 602 requires: triangle 603 args: -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 604 test: 605 suffix: 2d_p2_quad_vlap 606 requires: triangle 607 args: -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 608 test: 609 suffix: 2d_p3_quad_vlap 610 requires: triangle 611 args: -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 612 test: 613 suffix: 2d_q1_quad_vlap 614 args: -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 615 test: 616 suffix: 2d_q2_quad_vlap 617 args: -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 618 test: 619 suffix: 2d_q3_quad_vlap 620 requires: !single 621 args: -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 622 test: 623 suffix: 2d_p1_quad_elas 624 requires: triangle 625 args: -sol_type elas_quad -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 626 test: 627 suffix: 2d_p2_quad_elas 628 requires: triangle 629 args: -sol_type elas_quad -displacement_petscspace_degree 2 -dmsnes_check .0001 630 test: 631 suffix: 2d_p3_quad_elas 632 requires: triangle 633 args: -sol_type elas_quad -displacement_petscspace_degree 3 -dmsnes_check .0001 634 test: 635 suffix: 2d_q1_quad_elas 636 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 637 test: 638 suffix: 2d_q1_quad_elas_shear 639 args: -sol_type elas_quad -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 640 test: 641 suffix: 2d_q2_quad_elas 642 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dmsnes_check .0001 643 test: 644 suffix: 2d_q2_quad_elas_shear 645 args: -sol_type elas_quad -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 2 -dmsnes_check 646 test: 647 suffix: 2d_q3_quad_elas 648 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dmsnes_check .0001 649 test: 650 suffix: 2d_q3_quad_elas_shear 651 requires: !single 652 args: -sol_type elas_quad -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 3 -dmsnes_check 653 654 test: 655 suffix: 3d_p1_quad_vlap 656 requires: ctetgen 657 args: -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 658 test: 659 suffix: 3d_p2_quad_vlap 660 requires: ctetgen 661 args: -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 662 test: 663 suffix: 3d_p3_quad_vlap 664 requires: ctetgen 665 args: -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 666 test: 667 suffix: 3d_q1_quad_vlap 668 args: -dm_plex_dim 3 -dm_plex_box_faces 2,2,2 -dm_plex_simplex 0 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 669 test: 670 suffix: 3d_q2_quad_vlap 671 args: -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 672 test: 673 suffix: 3d_q3_quad_vlap 674 args: -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 675 test: 676 suffix: 3d_p1_quad_elas 677 requires: ctetgen 678 args: -sol_type elas_quad -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 679 test: 680 suffix: 3d_p2_quad_elas 681 requires: ctetgen 682 args: -sol_type elas_quad -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 683 test: 684 suffix: 3d_p3_quad_elas 685 requires: ctetgen 686 args: -sol_type elas_quad -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 687 test: 688 suffix: 3d_q1_quad_elas 689 args: -sol_type elas_quad -dm_plex_dim 3 -dm_plex_box_faces 2,2,2 -dm_plex_simplex 0 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 690 test: 691 suffix: 3d_q2_quad_elas 692 args: -sol_type elas_quad -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 693 test: 694 suffix: 3d_q3_quad_elas 695 requires: !single 696 args: -sol_type elas_quad -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 697 698 test: 699 suffix: 2d_p1_trig_vlap 700 requires: triangle 701 args: -sol_type vlap_trig -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 702 test: 703 suffix: 2d_p2_trig_vlap 704 requires: triangle 705 args: -sol_type vlap_trig -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 706 test: 707 suffix: 2d_p3_trig_vlap 708 requires: triangle 709 args: -sol_type vlap_trig -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 710 test: 711 suffix: 2d_q1_trig_vlap 712 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 713 test: 714 suffix: 2d_q2_trig_vlap 715 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 716 test: 717 suffix: 2d_q3_trig_vlap 718 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 719 test: 720 suffix: 2d_p1_trig_elas 721 requires: triangle 722 args: -sol_type elas_trig -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 723 test: 724 suffix: 2d_p2_trig_elas 725 requires: triangle 726 args: -sol_type elas_trig -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 727 test: 728 suffix: 2d_p3_trig_elas 729 requires: triangle 730 args: -sol_type elas_trig -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 731 test: 732 suffix: 2d_q1_trig_elas 733 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 734 test: 735 suffix: 2d_q1_trig_elas_shear 736 args: -sol_type elas_trig -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 737 test: 738 suffix: 2d_q2_trig_elas 739 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 740 test: 741 suffix: 2d_q2_trig_elas_shear 742 args: -sol_type elas_trig -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 743 test: 744 suffix: 2d_q3_trig_elas 745 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 746 test: 747 suffix: 2d_q3_trig_elas_shear 748 args: -sol_type elas_trig -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 749 750 test: 751 suffix: 3d_p1_trig_vlap 752 requires: ctetgen 753 args: -sol_type vlap_trig -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 754 test: 755 suffix: 3d_p2_trig_vlap 756 requires: ctetgen 757 args: -sol_type vlap_trig -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 758 test: 759 suffix: 3d_p3_trig_vlap 760 requires: ctetgen 761 args: -sol_type vlap_trig -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 762 test: 763 suffix: 3d_q1_trig_vlap 764 args: -sol_type vlap_trig -dm_plex_dim 3 -dm_plex_box_faces 2,2,2 -dm_plex_simplex 0 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 765 test: 766 suffix: 3d_q2_trig_vlap 767 args: -sol_type vlap_trig -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 768 test: 769 suffix: 3d_q3_trig_vlap 770 requires: !__float128 771 args: -sol_type vlap_trig -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 772 test: 773 suffix: 3d_p1_trig_elas 774 requires: ctetgen 775 args: -sol_type elas_trig -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 776 test: 777 suffix: 3d_p2_trig_elas 778 requires: ctetgen 779 args: -sol_type elas_trig -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 780 test: 781 suffix: 3d_p3_trig_elas 782 requires: ctetgen 783 args: -sol_type elas_trig -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 784 test: 785 suffix: 3d_q1_trig_elas 786 args: -sol_type elas_trig -dm_plex_dim 3 -dm_plex_box_faces 2,2,2 -dm_plex_simplex 0 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 787 test: 788 suffix: 3d_q2_trig_elas 789 args: -sol_type elas_trig -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 790 test: 791 suffix: 3d_q3_trig_elas 792 requires: !__float128 793 args: -sol_type elas_trig -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 794 795 test: 796 suffix: 2d_p1_axial_elas 797 requires: triangle 798 args: -sol_type elas_axial_disp -displacement_petscspace_degree 1 -dm_plex_separate_marker -dm_refine 2 -dmsnes_check .0001 -pc_type lu 799 test: 800 suffix: 2d_p2_axial_elas 801 requires: triangle 802 args: -sol_type elas_axial_disp -displacement_petscspace_degree 2 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 803 test: 804 suffix: 2d_p3_axial_elas 805 requires: triangle 806 args: -sol_type elas_axial_disp -displacement_petscspace_degree 3 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 807 test: 808 suffix: 2d_q1_axial_elas 809 args: -sol_type elas_axial_disp -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_plex_separate_marker -dm_refine 1 -dmsnes_check .0001 -pc_type lu 810 test: 811 suffix: 2d_q2_axial_elas 812 args: -sol_type elas_axial_disp -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 813 test: 814 suffix: 2d_q3_axial_elas 815 args: -sol_type elas_axial_disp -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 816 817 test: 818 suffix: 2d_p1_uniform_elas 819 requires: triangle 820 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 821 test: 822 suffix: 2d_p2_uniform_elas 823 requires: triangle 824 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 825 test: 826 suffix: 2d_p3_uniform_elas 827 requires: triangle 828 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 829 test: 830 suffix: 2d_q1_uniform_elas 831 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 832 test: 833 suffix: 2d_q2_uniform_elas 834 requires: !single 835 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 836 test: 837 suffix: 2d_q3_uniform_elas 838 requires: !single 839 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 840 test: 841 suffix: 2d_p1_uniform_elas_step 842 requires: triangle 843 args: -sol_type elas_uniform_strain -deform_type step -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 844 845 testset: 846 args: -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -deform_type step -displacement_petscspace_degree 1 -dmsnes_check .0001 -pc_type lu 847 848 test: 849 suffix: 2d_q1_uniform_elas_step 850 args: -sol_type elas_uniform_strain -dm_refine 2 851 test: 852 suffix: 2d_q1_quad_vlap_step 853 args: 854 test: 855 suffix: 2d_q2_quad_vlap_step 856 args: -displacement_petscspace_degree 2 857 test: 858 suffix: 2d_q1_quad_mass_step 859 args: -sol_type mass_quad 860 861 TEST*/ 862