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 /// libCEED QFunctions for mass operator example for a scalar field on the sphere using PETSc 10 11 #include <ceed/types.h> 12 #ifndef CEED_RUNNING_JIT_PASS 13 #include <math.h> 14 #endif 15 16 // ----------------------------------------------------------------------------- 17 // This QFunction sets up the geometric factor required for integration when reference coordinates have a different dimension than the one of physical 18 // coordinates 19 // 20 // Reference (parent) 2D coordinates: X \in [-1, 1]^2 21 // 22 // Global physical coordinates given by the mesh (3D): xx \in [-l, l]^3 23 // 24 // Local physical coordinates on the manifold (2D): x \in [-l, l]^2 25 // 26 // Change of coordinates matrix computed by the library: 27 // (physical 3D coords relative to reference 2D coords) 28 // dxx_j/dX_i (indicial notation) [3 * 2] 29 // 30 // Change of coordinates x (physical 2D) relative to xx (phyiscal 3D): 31 // dx_i/dxx_j (indicial notation) [2 * 3] 32 // 33 // Change of coordinates x (physical 2D) relative to X (reference 2D): 34 // (by chain rule) 35 // dx_i/dX_j = dx_i/dxx_k * dxx_k/dX_j 36 // 37 // The quadrature data is stored in the array q_data. 38 // 39 // We require the determinant of the Jacobian to properly compute integrals of the form: int( u v ) 40 // 41 // Qdata: w * det(dx_i/dX_j) 42 // ----------------------------------------------------------------------------- 43 CEED_QFUNCTION(SetupMassGeoCube)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 44 // Inputs 45 const CeedScalar *J = in[1], *w = in[2]; 46 // Outputs 47 CeedScalar *q_data = out[0]; 48 49 // Quadrature Point Loop 50 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 51 // Read dxxdX Jacobian entries, stored as 52 // 0 3 53 // 1 4 54 // 2 5 55 const CeedScalar dxxdX[3][2] = { 56 {J[i + Q * 0], J[i + Q * 3]}, 57 {J[i + Q * 1], J[i + Q * 4]}, 58 {J[i + Q * 2], J[i + Q * 5]} 59 }; 60 61 // Modulus of dxxdX column vectors 62 const CeedScalar mod_g_1 = sqrt(dxxdX[0][0] * dxxdX[0][0] + dxxdX[1][0] * dxxdX[1][0] + dxxdX[2][0] * dxxdX[2][0]); 63 const CeedScalar mod_g_2 = sqrt(dxxdX[0][1] * dxxdX[0][1] + dxxdX[1][1] * dxxdX[1][1] + dxxdX[2][1] * dxxdX[2][1]); 64 65 // Use normalized column vectors of dxxdX as rows of dxdxx 66 const CeedScalar dxdxx[2][3] = { 67 {dxxdX[0][0] / mod_g_1, dxxdX[1][0] / mod_g_1, dxxdX[2][0] / mod_g_1}, 68 {dxxdX[0][1] / mod_g_2, dxxdX[1][1] / mod_g_2, dxxdX[2][1] / mod_g_2} 69 }; 70 71 CeedScalar dxdX[2][2]; 72 for (int j = 0; j < 2; j++) { 73 for (int k = 0; k < 2; k++) { 74 dxdX[j][k] = 0; 75 for (int l = 0; l < 3; l++) dxdX[j][k] += dxdxx[j][l] * dxxdX[l][k]; 76 } 77 } 78 79 q_data[i + Q * 0] = (dxdX[0][0] * dxdX[1][1] - dxdX[1][0] * dxdX[0][1]) * w[i]; 80 81 } // End of Quadrature Point Loop 82 return 0; 83 } 84 85 // ----------------------------------------------------------------------------- 86 // This QFunction applies the mass operator for a scalar field. 87 // 88 // Inputs: 89 // u - Input vector at quadrature points 90 // q_data - Geometric factors 91 // 92 // Output: 93 // v - Output vector (test function) at quadrature points 94 // ----------------------------------------------------------------------------- 95 CEED_QFUNCTION(Mass)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 96 // Inputs 97 const CeedScalar *u = in[0], *q_data = in[1]; 98 // Outputs 99 CeedScalar *v = out[0]; 100 101 // Quadrature Point Loop 102 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) v[i] = q_data[i] * u[i]; 103 104 return 0; 105 } 106 // ----------------------------------------------------------------------------- 107