1 // Copyright (c) 2017-2022, 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 #ifndef TRACTION_BOUNDARY_H 12 #define TRACTION_BOUNDARY_H 13 14 #include <ceed.h> 15 16 // ----------------------------------------------------------------------------- 17 // This QFunction computes the surface integral of the user traction vector on the constrained faces. 18 // 19 // Reference (parent) 2D coordinates: X 20 // Physical (current) 3D coordinates: x 21 // Change of coordinate matrix: 22 // dxdX_{i,j} = dx_i/dX_j (indicial notation) [3 * 2] 23 // 24 // (J1,J2,J3) is given by the cross product of the columns of dxdX_{i,j} 25 // 26 // detJb is the magnitude of (J1,J2,J3) 27 // 28 // Computed: 29 // t * (w detJb) 30 // ----------------------------------------------------------------------------- 31 CEED_QFUNCTION(SetupTractionBCs)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 32 // Inputs 33 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0], (*w) = in[1]; 34 // Outputs 35 CeedScalar(*v)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 36 37 // User stress tensor 38 const CeedScalar(*traction) = (const CeedScalar(*))ctx; 39 40 CeedPragmaSIMD 41 // Quadrature Point Loop 42 for (CeedInt i = 0; i < Q; i++) { 43 // Setup 44 const CeedScalar dxdX[3][2] = { 45 {J[0][0][i], J[1][0][i]}, 46 {J[0][1][i], J[1][1][i]}, 47 {J[0][2][i], J[1][2][i]} 48 }; 49 // J1, J2, and J3 are given by the cross product of the columns of dxdX 50 const CeedScalar J1 = dxdX[1][0] * dxdX[2][1] - dxdX[2][0] * dxdX[1][1]; 51 const CeedScalar J2 = dxdX[2][0] * dxdX[0][1] - dxdX[0][0] * dxdX[2][1]; 52 const CeedScalar J3 = dxdX[0][0] * dxdX[1][1] - dxdX[1][0] * dxdX[0][1]; 53 54 // Qdata 55 // -- Interp-to-Interp q_data 56 CeedScalar wdetJb = w[i] * sqrt(J1 * J1 + J2 * J2 + J3 * J3); 57 58 // Traction surface integral 59 for (CeedInt j = 0; j < 3; j++) v[j][i] = traction[j] * wdetJb; 60 61 } // End of Quadrature Point Loop 62 63 // Return 64 return 0; 65 } 66 // ----------------------------------------------------------------------------- 67 68 #endif // End of TRACTION_BOUNDARY_H 69