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 Converting elastic constants: 11 lambda = E nu / ((1 + nu) (1 - 2 nu)) 12 mu = E / (2 (1 + nu)) 13 */ 14 15 #include <petscdmplex.h> 16 #include <petscsnes.h> 17 #include <petscds.h> 18 #include <petscbag.h> 19 #include <petscconvest.h> 20 21 typedef enum {SOL_VLAP_QUADRATIC, SOL_ELAS_QUADRATIC, SOL_VLAP_TRIG, SOL_ELAS_TRIG, SOL_ELAS_AXIAL_DISP, SOL_ELAS_UNIFORM_STRAIN, SOL_ELAS_GE, SOL_MASS_QUADRATIC, NUM_SOLUTION_TYPES} SolutionType; 22 const char *solutionTypes[NUM_SOLUTION_TYPES+1] = {"vlap_quad", "elas_quad", "vlap_trig", "elas_trig", "elas_axial_disp", "elas_uniform_strain", "elas_ge", "mass_quad", "unknown"}; 23 24 typedef enum {DEFORM_NONE, DEFORM_SHEAR, DEFORM_STEP, NUM_DEFORM_TYPES} DeformType; 25 const char *deformTypes[NUM_DEFORM_TYPES+1] = {"none", "shear", "step", "unknown"}; 26 27 typedef struct { 28 PetscScalar mu; /* shear modulus */ 29 PetscScalar lambda; /* Lame's first parameter */ 30 } Parameter; 31 32 typedef struct { 33 /* Domain and mesh definition */ 34 char dmType[256]; /* DM type for the solve */ 35 DeformType deform; /* Domain deformation type */ 36 /* Problem definition */ 37 SolutionType solType; /* Type of exact solution */ 38 PetscBag bag; /* Problem parameters */ 39 /* Solver definition */ 40 PetscBool useNearNullspace; /* Use the rigid body modes as a near nullspace for AMG */ 41 } AppCtx; 42 43 static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 44 { 45 PetscInt d; 46 for (d = 0; d < dim; ++d) u[d] = 0.0; 47 return 0; 48 } 49 50 static PetscErrorCode ge_shift(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 51 { 52 PetscInt d; 53 u[0] = 0.1; 54 for (d = 1; d < dim; ++d) u[d] = 0.0; 55 return 0; 56 } 57 58 static PetscErrorCode quadratic_2d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 59 { 60 u[0] = x[0]*x[0]; 61 u[1] = x[1]*x[1] - 2.0*x[0]*x[1]; 62 return 0; 63 } 64 65 static PetscErrorCode quadratic_3d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 66 { 67 u[0] = x[0]*x[0]; 68 u[1] = x[1]*x[1] - 2.0*x[0]*x[1]; 69 u[2] = x[2]*x[2] - 2.0*x[1]*x[2]; 70 return 0; 71 } 72 73 /* 74 u = x^2 75 v = y^2 - 2xy 76 Delta <u,v> - f = <2, 2> - <2, 2> 77 78 u = x^2 79 v = y^2 - 2xy 80 w = z^2 - 2yz 81 Delta <u,v,w> - f = <2, 2, 2> - <2, 2, 2> 82 */ 83 static void f0_vlap_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 84 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 85 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 86 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 87 { 88 PetscInt d; 89 for (d = 0; d < dim; ++d) f0[d] += 2.0; 90 } 91 92 /* 93 u = x^2 94 v = y^2 - 2xy 95 \varepsilon = / 2x -y \ 96 \ -y 2y - 2x / 97 Tr(\varepsilon) = div u = 2y 98 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 99 = \lambda \partial_j (2y) + 2\mu < 2-1, 2 > 100 = \lambda < 0, 2 > + \mu < 2, 4 > 101 102 u = x^2 103 v = y^2 - 2xy 104 w = z^2 - 2yz 105 \varepsilon = / 2x -y 0 \ 106 | -y 2y - 2x -z | 107 \ 0 -z 2z - 2y/ 108 Tr(\varepsilon) = div u = 2z 109 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 110 = \lambda \partial_j (2z) + 2\mu < 2-1, 2-1, 2 > 111 = \lambda < 0, 0, 2 > + \mu < 2, 2, 4 > 112 */ 113 static void f0_elas_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 114 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 115 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 116 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 117 { 118 const PetscReal mu = 1.0; 119 const PetscReal lambda = 1.0; 120 PetscInt d; 121 122 for (d = 0; d < dim-1; ++d) f0[d] += 2.0*mu; 123 f0[dim-1] += 2.0*lambda + 4.0*mu; 124 } 125 126 static void f0_mass_quadratic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 127 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 128 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 129 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 130 { 131 if (dim == 2) { 132 f0[0] -= x[0]*x[0]; 133 f0[1] -= x[1]*x[1] - 2.0*x[0]*x[1]; 134 } else { 135 f0[0] -= x[0]*x[0]; 136 f0[1] -= x[1]*x[1] - 2.0*x[0]*x[1]; 137 f0[2] -= x[2]*x[2] - 2.0*x[1]*x[2]; 138 } 139 } 140 141 static PetscErrorCode trig_2d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 142 { 143 u[0] = PetscSinReal(2.0*PETSC_PI*x[0]); 144 u[1] = PetscSinReal(2.0*PETSC_PI*x[1]) - 2.0*x[0]*x[1]; 145 return 0; 146 } 147 148 static PetscErrorCode trig_3d_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 149 { 150 u[0] = PetscSinReal(2.0*PETSC_PI*x[0]); 151 u[1] = PetscSinReal(2.0*PETSC_PI*x[1]) - 2.0*x[0]*x[1]; 152 u[2] = PetscSinReal(2.0*PETSC_PI*x[2]) - 2.0*x[1]*x[2]; 153 return 0; 154 } 155 156 /* 157 u = sin(2 pi x) 158 v = sin(2 pi y) - 2xy 159 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)> 160 161 u = sin(2 pi x) 162 v = sin(2 pi y) - 2xy 163 w = sin(2 pi z) - 2yz 164 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)> 165 */ 166 static void f0_vlap_trig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 167 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 168 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 169 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 170 { 171 PetscInt d; 172 for (d = 0; d < dim; ++d) f0[d] += -4.0*PetscSqr(PETSC_PI)*PetscSinReal(2.0*PETSC_PI*x[d]); 173 } 174 175 /* 176 u = sin(2 pi x) 177 v = sin(2 pi y) - 2xy 178 \varepsilon = / 2 pi cos(2 pi x) -y \ 179 \ -y 2 pi cos(2 pi y) - 2x / 180 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y)) - 2 x 181 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 182 = \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) > 183 = \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) > 184 185 u = sin(2 pi x) 186 v = sin(2 pi y) - 2xy 187 w = sin(2 pi z) - 2yz 188 \varepsilon = / 2 pi cos(2 pi x) -y 0 \ 189 | -y 2 pi cos(2 pi y) - 2x -z | 190 \ 0 -z 2 pi cos(2 pi z) - 2y / 191 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y) + cos(2 pi z)) - 2 x - 2 y 192 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 193 = \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) > 194 = \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) > 195 */ 196 static void f0_elas_trig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 197 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 198 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 199 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 200 { 201 const PetscReal mu = 1.0; 202 const PetscReal lambda = 1.0; 203 const PetscReal fact = 4.0*PetscSqr(PETSC_PI); 204 PetscInt d; 205 206 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); 207 } 208 209 static PetscErrorCode axial_disp_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 210 { 211 const PetscReal mu = 1.0; 212 const PetscReal lambda = 1.0; 213 const PetscReal N = 1.0; 214 PetscInt d; 215 216 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]; 217 u[1] = -0.25*lambda/mu/(lambda+mu)*N*x[1]; 218 for (d = 2; d < dim; ++d) u[d] = 0.0; 219 return 0; 220 } 221 222 /* 223 We will pull/push on the right side of a block of linearly elastic material. The uniform traction conditions on the 224 right side of the box will result in a uniform strain along x and y. The Neumann BC is given by 225 226 n_i \sigma_{ij} = t_i 227 228 u = (1/(2\mu) - 1) x 229 v = -y 230 f = 0 231 t = <4\mu/\lambda (\lambda + \mu), 0> 232 \varepsilon = / 1/(2\mu) - 1 0 \ 233 \ 0 -1 / 234 Tr(\varepsilon) = div u = 1/(2\mu) - 2 235 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 236 = \lambda \partial_j (1/(2\mu) - 2) + 2\mu < 0, 0 > 237 = \lambda < 0, 0 > + \mu < 0, 0 > = 0 238 NBC = <1,0> . <4\mu/\lambda (\lambda + \mu), 0> = 4\mu/\lambda (\lambda + \mu) 239 240 u = x - 1/2 241 v = 0 242 w = 0 243 \varepsilon = / x 0 0 \ 244 | 0 0 0 | 245 \ 0 0 0 / 246 Tr(\varepsilon) = div u = x 247 div \sigma = \partial_i \lambda \delta_{ij} \varepsilon_{kk} + \partial_i 2\mu\varepsilon_{ij} 248 = \lambda \partial_j x + 2\mu < 1, 0, 0 > 249 = \lambda < 1, 0, 0 > + \mu < 2, 0, 0 > 250 */ 251 static void f0_elas_axial_disp_bd_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 252 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 253 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 254 PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 255 { 256 const PetscReal N = -1.0; 257 258 f0[0] = N; 259 } 260 261 static PetscErrorCode uniform_strain_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 262 { 263 const PetscReal eps_xx = 0.1; 264 const PetscReal eps_xy = 0.3; 265 const PetscReal eps_yy = 0.25; 266 PetscInt d; 267 268 u[0] = eps_xx*x[0] + eps_xy*x[1]; 269 u[1] = eps_xy*x[0] + eps_yy*x[1]; 270 for (d = 2; d < dim; ++d) u[d] = 0.0; 271 return 0; 272 } 273 274 static void f0_mass_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 275 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 276 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 277 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[]) 278 { 279 const PetscInt Nc = dim; 280 PetscInt c; 281 282 for (c = 0; c < Nc; ++c) f0[c] = u[c]; 283 } 284 285 static void f1_vlap_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 286 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 287 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 288 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[]) 289 { 290 const PetscInt Nc = dim; 291 PetscInt c, d; 292 293 for (c = 0; c < Nc; ++c) for (d = 0; d < dim; ++d) f1[c*dim+d] += u_x[c*dim+d]; 294 } 295 296 static void f1_elas_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, 297 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 298 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 299 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[]) 300 { 301 const PetscInt Nc = dim; 302 const PetscReal mu = 1.0; 303 const PetscReal lambda = 1.0; 304 PetscInt c, d; 305 306 for (c = 0; c < Nc; ++c) { 307 for (d = 0; d < dim; ++d) { 308 f1[c*dim+d] += mu*(u_x[c*dim+d] + u_x[d*dim+c]); 309 f1[c*dim+c] += lambda*u_x[d*dim+d]; 310 } 311 } 312 } 313 314 static void g0_mass_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 315 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 316 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 317 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[]) 318 { 319 const PetscInt Nc = dim; 320 PetscInt c; 321 322 for (c = 0; c < Nc; ++c) g0[c*Nc + c] = 1.0; 323 } 324 325 static void g3_vlap_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 326 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 327 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 328 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[]) 329 { 330 const PetscInt Nc = dim; 331 PetscInt c, d; 332 333 for (c = 0; c < Nc; ++c) { 334 for (d = 0; d < dim; ++d) { 335 g3[((c*Nc + c)*dim + d)*dim + d] = 1.0; 336 } 337 } 338 } 339 340 /* 341 \partial_df \phi_fc g_{fc,gc,df,dg} \partial_dg \phi_gc 342 343 \partial_df \phi_fc \lambda \delta_{fc,df} \sum_gc \partial_dg \phi_gc \delta_{gc,dg} 344 = \partial_fc \phi_fc \sum_gc \partial_gc \phi_gc 345 */ 346 static void g3_elas_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, 347 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], 348 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], 349 PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[]) 350 { 351 const PetscInt Nc = dim; 352 const PetscReal mu = 1.0; 353 const PetscReal lambda = 1.0; 354 PetscInt c, d; 355 356 for (c = 0; c < Nc; ++c) { 357 for (d = 0; d < dim; ++d) { 358 g3[((c*Nc + c)*dim + d)*dim + d] += mu; 359 g3[((c*Nc + d)*dim + d)*dim + c] += mu; 360 g3[((c*Nc + d)*dim + c)*dim + d] += lambda; 361 } 362 } 363 } 364 365 static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options) 366 { 367 PetscInt sol = 0, def = 0; 368 369 PetscFunctionBeginUser; 370 options->deform = DEFORM_NONE; 371 options->solType = SOL_VLAP_QUADRATIC; 372 options->useNearNullspace = PETSC_TRUE; 373 PetscCall(PetscStrncpy(options->dmType, DMPLEX, 256)); 374 375 PetscOptionsBegin(comm, "", "Linear Elasticity Problem Options", "DMPLEX"); 376 PetscCall(PetscOptionsEList("-deform_type", "Type of domain deformation", "ex17.c", deformTypes, NUM_DEFORM_TYPES, deformTypes[options->deform], &def, NULL)); 377 options->deform = (DeformType) def; 378 PetscCall(PetscOptionsEList("-sol_type", "Type of exact solution", "ex17.c", solutionTypes, NUM_SOLUTION_TYPES, solutionTypes[options->solType], &sol, NULL)); 379 options->solType = (SolutionType) sol; 380 PetscCall(PetscOptionsBool("-near_nullspace", "Use the rigid body modes as an AMG near nullspace", "ex17.c", options->useNearNullspace, &options->useNearNullspace, NULL)); 381 PetscCall(PetscOptionsFList("-dm_type", "Convert DMPlex to another format", "ex17.c", DMList, options->dmType, options->dmType, 256, NULL)); 382 PetscOptionsEnd(); 383 PetscFunctionReturn(0); 384 } 385 386 static PetscErrorCode SetupParameters(MPI_Comm comm, AppCtx *ctx) 387 { 388 PetscBag bag; 389 Parameter *p; 390 391 PetscFunctionBeginUser; 392 /* setup PETSc parameter bag */ 393 PetscCall(PetscBagGetData(ctx->bag,(void**)&p)); 394 PetscCall(PetscBagSetName(ctx->bag,"par","Elastic Parameters")); 395 bag = ctx->bag; 396 PetscCall(PetscBagRegisterScalar(bag, &p->mu, 1.0, "mu", "Shear Modulus, Pa")); 397 PetscCall(PetscBagRegisterScalar(bag, &p->lambda, 1.0, "lambda", "Lame's first parameter, Pa")); 398 PetscCall(PetscBagSetFromOptions(bag)); 399 { 400 PetscViewer viewer; 401 PetscViewerFormat format; 402 PetscBool flg; 403 404 PetscCall(PetscOptionsGetViewer(comm, NULL, NULL, "-param_view", &viewer, &format, &flg)); 405 if (flg) { 406 PetscCall(PetscViewerPushFormat(viewer, format)); 407 PetscCall(PetscBagView(bag, viewer)); 408 PetscCall(PetscViewerFlush(viewer)); 409 PetscCall(PetscViewerPopFormat(viewer)); 410 PetscCall(PetscViewerDestroy(&viewer)); 411 } 412 } 413 PetscFunctionReturn(0); 414 } 415 416 static PetscErrorCode DMPlexDistortGeometry(DM dm) 417 { 418 DM cdm; 419 DMLabel label; 420 Vec coordinates; 421 PetscScalar *coords; 422 PetscReal mid = 0.5; 423 PetscInt cdim, d, vStart, vEnd, v; 424 425 PetscFunctionBeginUser; 426 PetscCall(DMGetCoordinateDM(dm, &cdm)); 427 PetscCall(DMGetCoordinateDim(dm, &cdim)); 428 PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd)); 429 PetscCall(DMGetLabel(dm, "marker", &label)); 430 PetscCall(DMGetCoordinatesLocal(dm, &coordinates)); 431 PetscCall(VecGetArrayWrite(coordinates, &coords)); 432 for (v = vStart; v < vEnd; ++v) { 433 PetscScalar *pcoords, shift; 434 PetscInt val; 435 436 PetscCall(DMLabelGetValue(label, v, &val)); 437 if (val >= 0) continue; 438 PetscCall(DMPlexPointLocalRef(cdm, v, coords, &pcoords)); 439 shift = 0.2 * PetscAbsScalar(pcoords[0] - mid); 440 shift = PetscRealPart(pcoords[0]) > mid ? shift : -shift; 441 for (d = 1; d < cdim; ++d) pcoords[d] += shift; 442 } 443 PetscCall(VecRestoreArrayWrite(coordinates, &coords)); 444 PetscFunctionReturn(0); 445 } 446 447 static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm) 448 { 449 PetscFunctionBeginUser; 450 PetscCall(DMCreate(comm, dm)); 451 PetscCall(DMSetType(*dm, DMPLEX)); 452 PetscCall(DMSetFromOptions(*dm)); 453 switch (user->deform) { 454 case DEFORM_NONE: break; 455 case DEFORM_SHEAR: PetscCall(DMPlexShearGeometry(*dm, DM_X, NULL));break; 456 case DEFORM_STEP: PetscCall(DMPlexDistortGeometry(*dm));break; 457 default: SETERRQ(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid deformation type: %s (%d)", deformTypes[PetscMin(user->deform, NUM_DEFORM_TYPES)], user->deform); 458 } 459 PetscCall(DMSetApplicationContext(*dm, user)); 460 PetscCall(DMViewFromOptions(*dm, NULL, "-dm_view")); 461 PetscFunctionReturn(0); 462 } 463 464 static PetscErrorCode SetupPrimalProblem(DM dm, AppCtx *user) 465 { 466 PetscErrorCode (*exact)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *); 467 Parameter *param; 468 PetscDS ds; 469 PetscWeakForm wf; 470 DMLabel label; 471 PetscInt id, bd; 472 PetscInt dim; 473 474 PetscFunctionBeginUser; 475 PetscCall(DMGetDS(dm, &ds)); 476 PetscCall(PetscDSGetWeakForm(ds, &wf)); 477 PetscCall(PetscDSGetSpatialDimension(ds, &dim)); 478 PetscCall(PetscBagGetData(user->bag, (void **) ¶m)); 479 switch (user->solType) { 480 case SOL_MASS_QUADRATIC: 481 PetscCall(PetscDSSetResidual(ds, 0, f0_mass_u, NULL)); 482 PetscCall(PetscDSSetJacobian(ds, 0, 0, g0_mass_uu, NULL, NULL, NULL)); 483 PetscCall(PetscWeakFormSetIndexResidual(wf, NULL, 0, 0, 0, 1, f0_mass_quadratic_u, 0, NULL)); 484 switch (dim) { 485 case 2: exact = quadratic_2d_u;break; 486 case 3: exact = quadratic_3d_u;break; 487 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %" PetscInt_FMT, dim); 488 } 489 break; 490 case SOL_VLAP_QUADRATIC: 491 PetscCall(PetscDSSetResidual(ds, 0, f0_vlap_quadratic_u, f1_vlap_u)); 492 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_vlap_uu)); 493 switch (dim) { 494 case 2: exact = quadratic_2d_u;break; 495 case 3: exact = quadratic_3d_u;break; 496 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %" PetscInt_FMT, dim); 497 } 498 break; 499 case SOL_ELAS_QUADRATIC: 500 PetscCall(PetscDSSetResidual(ds, 0, f0_elas_quadratic_u, f1_elas_u)); 501 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu)); 502 switch (dim) { 503 case 2: exact = quadratic_2d_u;break; 504 case 3: exact = quadratic_3d_u;break; 505 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %" PetscInt_FMT, dim); 506 } 507 break; 508 case SOL_VLAP_TRIG: 509 PetscCall(PetscDSSetResidual(ds, 0, f0_vlap_trig_u, f1_vlap_u)); 510 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_vlap_uu)); 511 switch (dim) { 512 case 2: exact = trig_2d_u;break; 513 case 3: exact = trig_3d_u;break; 514 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %" PetscInt_FMT, dim); 515 } 516 break; 517 case SOL_ELAS_TRIG: 518 PetscCall(PetscDSSetResidual(ds, 0, f0_elas_trig_u, f1_elas_u)); 519 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu)); 520 switch (dim) { 521 case 2: exact = trig_2d_u;break; 522 case 3: exact = trig_3d_u;break; 523 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid dimension: %" PetscInt_FMT, dim); 524 } 525 break; 526 case SOL_ELAS_AXIAL_DISP: 527 PetscCall(PetscDSSetResidual(ds, 0, NULL, f1_elas_u)); 528 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu)); 529 id = dim == 3 ? 5 : 2; 530 PetscCall(DMGetLabel(dm, "marker", &label)); 531 PetscCall(DMAddBoundary(dm, DM_BC_NATURAL, "right", label, 1, &id, 0, 0, NULL, (void (*)(void)) NULL, NULL, user, &bd)); 532 PetscCall(PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL)); 533 PetscCall(PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_elas_axial_disp_bd_u, 0, NULL)); 534 exact = axial_disp_u; 535 break; 536 case SOL_ELAS_UNIFORM_STRAIN: 537 PetscCall(PetscDSSetResidual(ds, 0, NULL, f1_elas_u)); 538 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu)); 539 exact = uniform_strain_u; 540 break; 541 case SOL_ELAS_GE: 542 PetscCall(PetscDSSetResidual(ds, 0, NULL, f1_elas_u)); 543 PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_elas_uu)); 544 exact = zero; /* No exact solution available */ 545 break; 546 default: SETERRQ(PetscObjectComm((PetscObject) ds), PETSC_ERR_ARG_WRONG, "Invalid solution type: %s (%d)", solutionTypes[PetscMin(user->solType, NUM_SOLUTION_TYPES)], user->solType); 547 } 548 PetscCall(PetscDSSetExactSolution(ds, 0, exact, user)); 549 PetscCall(DMGetLabel(dm, "marker", &label)); 550 if (user->solType == SOL_ELAS_AXIAL_DISP) { 551 PetscInt cmp; 552 553 id = dim == 3 ? 6 : 4; 554 cmp = 0; 555 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "left", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL)); 556 cmp = dim == 3 ? 2 : 1; 557 id = dim == 3 ? 1 : 1; 558 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "bottom", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL)); 559 if (dim == 3) { 560 cmp = 1; 561 id = 3; 562 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "front", label, 1, &id, 0, 1, &cmp, (void (*)(void)) zero, NULL, user, NULL)); 563 } 564 } else if (user->solType == SOL_ELAS_GE) { 565 PetscInt cmp; 566 567 id = dim == 3 ? 6 : 4; 568 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "left", label, 1, &id, 0, 0, NULL, (void (*)(void)) zero, NULL, user, NULL)); 569 id = dim == 3 ? 5 : 2; 570 cmp = 0; 571 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "right", label, 1, &id, 0, 1, &cmp, (void (*)(void)) ge_shift, NULL, user, NULL)); 572 } else { 573 id = 1; 574 PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wall", label, 1, &id, 0, 0, NULL, (void (*)(void)) exact, NULL, user, NULL)); 575 } 576 /* Setup constants */ 577 { 578 PetscScalar constants[2]; 579 580 constants[0] = param->mu; /* shear modulus, Pa */ 581 constants[1] = param->lambda; /* Lame's first parameter, Pa */ 582 PetscCall(PetscDSSetConstants(ds, 2, constants)); 583 } 584 PetscFunctionReturn(0); 585 } 586 587 static PetscErrorCode CreateElasticityNullSpace(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullspace) 588 { 589 PetscFunctionBegin; 590 PetscCall(DMPlexCreateRigidBody(dm, origField, nullspace)); 591 PetscFunctionReturn(0); 592 } 593 594 PetscErrorCode SetupFE(DM dm, const char name[], PetscErrorCode (*setup)(DM, AppCtx *), void *ctx) 595 { 596 AppCtx *user = (AppCtx *) ctx; 597 DM cdm = dm; 598 PetscFE fe; 599 char prefix[PETSC_MAX_PATH_LEN]; 600 DMPolytopeType ct; 601 PetscBool simplex; 602 PetscInt dim, cStart; 603 604 PetscFunctionBegin; 605 /* Create finite element */ 606 PetscCall(DMGetDimension(dm, &dim)); 607 PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL)); 608 PetscCall(DMPlexGetCellType(dm, cStart, &ct)); 609 simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct)+1 ? PETSC_TRUE : PETSC_FALSE; 610 PetscCall(PetscSNPrintf(prefix, PETSC_MAX_PATH_LEN, "%s_", name)); 611 PetscCall(PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, dim, simplex, name ? prefix : NULL, -1, &fe)); 612 PetscCall(PetscObjectSetName((PetscObject) fe, name)); 613 /* Set discretization and boundary conditions for each mesh */ 614 PetscCall(DMSetField(dm, 0, NULL, (PetscObject) fe)); 615 PetscCall(DMCreateDS(dm)); 616 PetscCall((*setup)(dm, user)); 617 while (cdm) { 618 PetscCall(DMCopyDisc(dm, cdm)); 619 if (user->useNearNullspace) PetscCall(DMSetNearNullSpaceConstructor(cdm, 0, CreateElasticityNullSpace)); 620 /* TODO: Check whether the boundary of coarse meshes is marked */ 621 PetscCall(DMGetCoarseDM(cdm, &cdm)); 622 } 623 PetscCall(PetscFEDestroy(&fe)); 624 PetscFunctionReturn(0); 625 } 626 627 int main(int argc, char **argv) 628 { 629 DM dm; /* Problem specification */ 630 SNES snes; /* Nonlinear solver */ 631 Vec u; /* Solutions */ 632 AppCtx user; /* User-defined work context */ 633 634 PetscCall(PetscInitialize(&argc, &argv, NULL,help)); 635 PetscCall(ProcessOptions(PETSC_COMM_WORLD, &user)); 636 PetscCall(PetscBagCreate(PETSC_COMM_SELF, sizeof(Parameter), &user.bag)); 637 PetscCall(SetupParameters(PETSC_COMM_WORLD, &user)); 638 /* Primal system */ 639 PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes)); 640 PetscCall(CreateMesh(PETSC_COMM_WORLD, &user, &dm)); 641 PetscCall(SNESSetDM(snes, dm)); 642 PetscCall(SetupFE(dm, "displacement", SetupPrimalProblem, &user)); 643 PetscCall(DMCreateGlobalVector(dm, &u)); 644 PetscCall(VecSet(u, 0.0)); 645 PetscCall(PetscObjectSetName((PetscObject) u, "displacement")); 646 PetscCall(DMPlexSetSNESLocalFEM(dm, &user, &user, &user)); 647 PetscCall(SNESSetFromOptions(snes)); 648 PetscCall(DMSNESCheckFromOptions(snes, u)); 649 PetscCall(SNESSolve(snes, NULL, u)); 650 PetscCall(SNESGetSolution(snes, &u)); 651 PetscCall(VecViewFromOptions(u, NULL, "-displacement_view")); 652 /* Cleanup */ 653 PetscCall(VecDestroy(&u)); 654 PetscCall(SNESDestroy(&snes)); 655 PetscCall(DMDestroy(&dm)); 656 PetscCall(PetscBagDestroy(&user.bag)); 657 PetscCall(PetscFinalize()); 658 return 0; 659 } 660 661 /*TEST 662 663 testset: 664 args: -dm_plex_box_faces 1,1,1 665 666 test: 667 suffix: 2d_p1_quad_vlap 668 requires: triangle 669 args: -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 670 test: 671 suffix: 2d_p2_quad_vlap 672 requires: triangle 673 args: -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 674 test: 675 suffix: 2d_p3_quad_vlap 676 requires: triangle 677 args: -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 678 test: 679 suffix: 2d_q1_quad_vlap 680 args: -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 681 test: 682 suffix: 2d_q2_quad_vlap 683 args: -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 684 test: 685 suffix: 2d_q3_quad_vlap 686 requires: !single 687 args: -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 688 test: 689 suffix: 2d_p1_quad_elas 690 requires: triangle 691 args: -sol_type elas_quad -displacement_petscspace_degree 1 -dm_refine 2 -convest_num_refine 3 -snes_convergence_estimate 692 test: 693 suffix: 2d_p2_quad_elas 694 requires: triangle 695 args: -sol_type elas_quad -displacement_petscspace_degree 2 -dmsnes_check .0001 696 test: 697 suffix: 2d_p3_quad_elas 698 requires: triangle 699 args: -sol_type elas_quad -displacement_petscspace_degree 3 -dmsnes_check .0001 700 test: 701 suffix: 2d_q1_quad_elas 702 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 703 test: 704 suffix: 2d_q1_quad_elas_shear 705 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 706 test: 707 suffix: 2d_q2_quad_elas 708 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dmsnes_check .0001 709 test: 710 suffix: 2d_q2_quad_elas_shear 711 args: -sol_type elas_quad -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 2 -dmsnes_check 712 test: 713 suffix: 2d_q3_quad_elas 714 args: -sol_type elas_quad -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dmsnes_check .0001 715 test: 716 suffix: 2d_q3_quad_elas_shear 717 requires: !single 718 args: -sol_type elas_quad -dm_plex_simplex 0 -deform_type shear -displacement_petscspace_degree 3 -dmsnes_check 719 720 test: 721 suffix: 3d_p1_quad_vlap 722 requires: ctetgen 723 args: -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 724 test: 725 suffix: 3d_p2_quad_vlap 726 requires: ctetgen 727 args: -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 728 test: 729 suffix: 3d_p3_quad_vlap 730 requires: ctetgen 731 args: -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 732 test: 733 suffix: 3d_q1_quad_vlap 734 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 735 test: 736 suffix: 3d_q2_quad_vlap 737 args: -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 738 test: 739 suffix: 3d_q3_quad_vlap 740 args: -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 741 test: 742 suffix: 3d_p1_quad_elas 743 requires: ctetgen 744 args: -sol_type elas_quad -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 745 test: 746 suffix: 3d_p2_quad_elas 747 requires: ctetgen 748 args: -sol_type elas_quad -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 749 test: 750 suffix: 3d_p3_quad_elas 751 requires: ctetgen 752 args: -sol_type elas_quad -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 753 test: 754 suffix: 3d_q1_quad_elas 755 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 756 test: 757 suffix: 3d_q2_quad_elas 758 args: -sol_type elas_quad -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -dmsnes_check .0001 759 test: 760 suffix: 3d_q3_quad_elas 761 requires: !single 762 args: -sol_type elas_quad -dm_plex_dim 3 -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 0 -dmsnes_check .0001 763 764 test: 765 suffix: 2d_p1_trig_vlap 766 requires: triangle 767 args: -sol_type vlap_trig -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 768 test: 769 suffix: 2d_p2_trig_vlap 770 requires: triangle 771 args: -sol_type vlap_trig -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 772 test: 773 suffix: 2d_p3_trig_vlap 774 requires: triangle 775 args: -sol_type vlap_trig -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 776 test: 777 suffix: 2d_q1_trig_vlap 778 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 779 test: 780 suffix: 2d_q2_trig_vlap 781 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 782 test: 783 suffix: 2d_q3_trig_vlap 784 args: -sol_type vlap_trig -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 785 test: 786 suffix: 2d_p1_trig_elas 787 requires: triangle 788 args: -sol_type elas_trig -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 789 test: 790 suffix: 2d_p2_trig_elas 791 requires: triangle 792 args: -sol_type elas_trig -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 793 test: 794 suffix: 2d_p3_trig_elas 795 requires: triangle 796 args: -sol_type elas_trig -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 797 test: 798 suffix: 2d_q1_trig_elas 799 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 800 test: 801 suffix: 2d_q1_trig_elas_shear 802 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 803 test: 804 suffix: 2d_q2_trig_elas 805 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 806 test: 807 suffix: 2d_q2_trig_elas_shear 808 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 809 test: 810 suffix: 2d_q3_trig_elas 811 args: -sol_type elas_trig -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 1 -convest_num_refine 3 -snes_convergence_estimate 812 test: 813 suffix: 2d_q3_trig_elas_shear 814 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 815 816 test: 817 suffix: 3d_p1_trig_vlap 818 requires: ctetgen 819 args: -sol_type vlap_trig -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 820 test: 821 suffix: 3d_p2_trig_vlap 822 requires: ctetgen 823 args: -sol_type vlap_trig -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 824 test: 825 suffix: 3d_p3_trig_vlap 826 requires: ctetgen 827 args: -sol_type vlap_trig -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 828 test: 829 suffix: 3d_q1_trig_vlap 830 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 831 test: 832 suffix: 3d_q2_trig_vlap 833 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 834 test: 835 suffix: 3d_q3_trig_vlap 836 requires: !__float128 837 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 838 test: 839 suffix: 3d_p1_trig_elas 840 requires: ctetgen 841 args: -sol_type elas_trig -dm_plex_dim 3 -dm_refine 1 -displacement_petscspace_degree 1 -convest_num_refine 2 -snes_convergence_estimate 842 test: 843 suffix: 3d_p2_trig_elas 844 requires: ctetgen 845 args: -sol_type elas_trig -dm_plex_dim 3 -displacement_petscspace_degree 2 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 846 test: 847 suffix: 3d_p3_trig_elas 848 requires: ctetgen 849 args: -sol_type elas_trig -dm_plex_dim 3 -displacement_petscspace_degree 3 -dm_refine 0 -convest_num_refine 1 -snes_convergence_estimate 850 test: 851 suffix: 3d_q1_trig_elas 852 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 853 test: 854 suffix: 3d_q2_trig_elas 855 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 856 test: 857 suffix: 3d_q3_trig_elas 858 requires: !__float128 859 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 860 861 test: 862 suffix: 2d_p1_axial_elas 863 requires: triangle 864 args: -sol_type elas_axial_disp -displacement_petscspace_degree 1 -dm_plex_separate_marker -dm_refine 2 -dmsnes_check .0001 -pc_type lu 865 test: 866 suffix: 2d_p2_axial_elas 867 requires: triangle 868 args: -sol_type elas_axial_disp -displacement_petscspace_degree 2 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 869 test: 870 suffix: 2d_p3_axial_elas 871 requires: triangle 872 args: -sol_type elas_axial_disp -displacement_petscspace_degree 3 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 873 test: 874 suffix: 2d_q1_axial_elas 875 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 876 test: 877 suffix: 2d_q2_axial_elas 878 args: -sol_type elas_axial_disp -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 879 test: 880 suffix: 2d_q3_axial_elas 881 args: -sol_type elas_axial_disp -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_plex_separate_marker -dmsnes_check .0001 -pc_type lu 882 883 test: 884 suffix: 2d_p1_uniform_elas 885 requires: triangle 886 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 887 test: 888 suffix: 2d_p2_uniform_elas 889 requires: triangle 890 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 891 test: 892 suffix: 2d_p3_uniform_elas 893 requires: triangle 894 args: -sol_type elas_uniform_strain -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 895 test: 896 suffix: 2d_q1_uniform_elas 897 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 898 test: 899 suffix: 2d_q2_uniform_elas 900 requires: !single 901 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 2 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 902 test: 903 suffix: 2d_q3_uniform_elas 904 requires: !single 905 args: -sol_type elas_uniform_strain -dm_plex_simplex 0 -displacement_petscspace_degree 3 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 906 test: 907 suffix: 2d_p1_uniform_elas_step 908 requires: triangle 909 args: -sol_type elas_uniform_strain -deform_type step -displacement_petscspace_degree 1 -dm_refine 2 -dmsnes_check .0001 -pc_type lu 910 911 testset: 912 args: -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -deform_type step -displacement_petscspace_degree 1 -dmsnes_check .0001 -pc_type lu 913 914 test: 915 suffix: 2d_q1_uniform_elas_step 916 args: -sol_type elas_uniform_strain -dm_refine 2 917 test: 918 suffix: 2d_q1_quad_vlap_step 919 args: 920 test: 921 suffix: 2d_q2_quad_vlap_step 922 args: -displacement_petscspace_degree 2 923 test: 924 suffix: 2d_q1_quad_mass_step 925 args: -sol_type mass_quad 926 927 testset: 928 args: -dm_plex_dim 3 -dm_plex_simplex 0 -dm_plex_box_lower -5,-5,-0.25 -dm_plex_box_upper 5,5,0.25 \ 929 -dm_plex_box_faces 5,5,2 -dm_plex_separate_marker -dm_refine 0 -petscpartitioner_type simple \ 930 -sol_type elas_ge \ 931 -snes_max_it 2 -snes_rtol 1.e-10 \ 932 -ksp_type cg -ksp_rtol 1.e-10 -ksp_max_it 100 -ksp_norm_type unpreconditioned \ 933 -pc_type gamg -pc_gamg_type agg -pc_gamg_agg_nsmooths 1 \ 934 -pc_gamg_coarse_eq_limit 10 -pc_gamg_reuse_interpolation true \ 935 -pc_gamg_square_graph 1 -pc_gamg_threshold 0.05 -pc_gamg_threshold_scale .0 \ 936 -mg_levels_ksp_max_it 2 -mg_levels_ksp_type chebyshev -mg_levels_ksp_chebyshev_esteig 0,0.05,0,1.1 -mg_levels_pc_type jacobi \ 937 -matptap_via scalable 938 test: 939 suffix: ge_q1_0 940 args: -displacement_petscspace_degree 1 941 942 TEST*/ 943