1 // Copyright (c) 2017-2024, 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 /// Geometric factors for solid mechanics example using PETSc 10 11 #include <ceed/types.h> 12 13 // ----------------------------------------------------------------------------- 14 // This QFunction sets up the geometric factors required for integration and coordinate transformations 15 // 16 // Reference (parent) coordinates: X 17 // Physical (current) coordinates: x 18 // Change of coordinate matrix: dxdX_{i,j} = x_{i,j} (indicial notation) 19 // Inverse of change of coordinate matrix: dXdx_{i,j} = (detJ^-1) * X_{i,j} 20 // 21 // All quadrature data is stored in 10 field vector of quadrature data. 22 // 23 // We require the transpose of the inverse of the Jacobian to properly compute integrals of the form: int( gradv u ) 24 // 25 // Inverse of Jacobian: 26 // dXdx_i,j = Aij / detJ 27 // 28 // Stored: Aij / detJ 29 // in q_data[1:9] as 30 // [A11 A12 A13] 31 // (detJ^-1) * [A21 A22 A23] 32 // [A31 A32 A33] 33 // ----------------------------------------------------------------------------- 34 CEED_QFUNCTION(SetupGeo)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 35 // Inputs 36 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0], (*w) = in[1]; 37 38 // Outputs 39 CeedScalar(*q_data)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 40 41 CeedPragmaSIMD 42 // Quadrature Point Loop 43 for (CeedInt i = 0; i < Q; i++) { 44 // Setup 45 const CeedScalar J11 = J[0][0][i]; 46 const CeedScalar J21 = J[0][1][i]; 47 const CeedScalar J31 = J[0][2][i]; 48 const CeedScalar J12 = J[1][0][i]; 49 const CeedScalar J22 = J[1][1][i]; 50 const CeedScalar J32 = J[1][2][i]; 51 const CeedScalar J13 = J[2][0][i]; 52 const CeedScalar J23 = J[2][1][i]; 53 const CeedScalar J33 = J[2][2][i]; 54 const CeedScalar A11 = J22 * J33 - J23 * J32; 55 const CeedScalar A12 = J13 * J32 - J12 * J33; 56 const CeedScalar A13 = J12 * J23 - J13 * J22; 57 const CeedScalar A21 = J23 * J31 - J21 * J33; 58 const CeedScalar A22 = J11 * J33 - J13 * J31; 59 const CeedScalar A23 = J13 * J21 - J11 * J23; 60 const CeedScalar A31 = J21 * J32 - J22 * J31; 61 const CeedScalar A32 = J12 * J31 - J11 * J32; 62 const CeedScalar A33 = J11 * J22 - J12 * J21; 63 const CeedScalar detJ = J11 * A11 + J21 * A12 + J31 * A13; 64 65 // Qdata 66 // -- Interp-to-Interp q_data 67 q_data[0][i] = w[i] * detJ; 68 69 // -- Interp-to-Grad q_data 70 // Inverse of change of coordinate matrix: X_i,j 71 q_data[1][i] = A11 / detJ; 72 q_data[2][i] = A12 / detJ; 73 q_data[3][i] = A13 / detJ; 74 q_data[4][i] = A21 / detJ; 75 q_data[5][i] = A22 / detJ; 76 q_data[6][i] = A23 / detJ; 77 q_data[7][i] = A31 / detJ; 78 q_data[8][i] = A32 / detJ; 79 q_data[9][i] = A33 / detJ; 80 81 } // End of Quadrature Point Loop 82 83 return 0; 84 } 85 // ----------------------------------------------------------------------------- 86