1 // Copyright (c) 2017-2025, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /// @file 9 /// Linear elasticity manufactured solution forcing term for solid mechanics example using PETSc 10 11 #include <ceed/types.h> 12 #ifndef CEED_RUNNING_JIT_PASS 13 #include <math.h> 14 #endif 15 16 #ifndef PHYSICS_STRUCT 17 #define PHYSICS_STRUCT 18 typedef struct Physics_private *Physics; 19 struct Physics_private { 20 CeedScalar nu; // Poisson's ratio 21 CeedScalar E; // Young's Modulus 22 }; 23 #endif 24 25 // ----------------------------------------------------------------------------- 26 // Forcing term for linear elasticity manufactured solution 27 // ----------------------------------------------------------------------------- 28 CEED_QFUNCTION(SetupMMSForce)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 29 // Inputs 30 const CeedScalar *coords = in[0], *q_data = in[1]; 31 32 // Outputs 33 CeedScalar *force = out[0]; 34 35 // Context 36 const Physics context = (Physics)ctx; 37 const CeedScalar E = context->E; 38 const CeedScalar nu = context->nu; 39 40 // Quadrature Point Loop 41 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 42 // Setup 43 CeedScalar x = coords[i + 0 * Q], y = coords[i + 1 * Q], z = coords[i + 2 * Q]; 44 CeedScalar wdetJ = q_data[i]; 45 46 // Forcing function 47 // -- Component 1 48 force[i + 0 * Q] = (-(E * (cos(x * 2.0) * cos(y * 3.0) * exp(z * 4.0) * 4.0 - cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * 8.0) * (nu - 0.5)) / 49 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 50 (E * (cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * (4.5) + sin(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 3.0) * (nu - 0.5)) / 51 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 52 (E * nu * cos(x * 2.0) * cos(y * 3.0) * exp(z * 4.0) * 8.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 53 (E * nu * sin(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 6.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 54 (E * cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * (nu - 1.0) * 4.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) * 55 wdetJ / 1e8; 56 57 // -- Component 2 58 force[i + 1 * Q] = (-(E * (cos(y * 3.0) * cos(z * 4.0) * exp(x * 2.0) * 3.0 - cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 2.0) * (nu - 0.5)) / 59 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 60 (E * (cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 8.0 + sin(x * 2.0) * sin(y * 3.0) * exp(z * 4.0) * 6.0) * (nu - 0.5)) / 61 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 62 (E * nu * cos(y * 3.0) * cos(z * 4.0) * exp(x * 2.0) * 6.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 63 (E * nu * sin(x * 2.0) * sin(y * 3.0) * exp(z * 4.0) * 12.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 64 (E * cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * (nu - 1.0) * 9.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) * 65 wdetJ / 1e8; 66 67 // -- Component 3 68 force[i + 2 * Q] = (-(E * (cos(x * 2.0) * cos(z * 4.0) * exp(y * 3.0) * 6.0 - cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * (4.5)) * (nu - 0.5)) / 69 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 70 (E * (cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * 2.0 + sin(y * 3.0) * sin(z * 4.0) * exp(x * 2.0) * 4.0) * (nu - 0.5)) / 71 ((nu * 2.0 - 1.0) * (nu + 1.0)) + 72 (E * nu * cos(x * 2.0) * cos(z * 4.0) * exp(y * 3.0) * 12.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 73 (E * nu * sin(y * 3.0) * sin(z * 4.0) * exp(x * 2.0) * 8.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) - 74 (E * cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * (nu - 1.0) * 16.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) * 75 wdetJ / 1e8; 76 77 } // End of Quadrature Point Loop 78 79 return 0; 80 } 81 // ----------------------------------------------------------------------------- 82