// Copyright (c) 2017-2025, Lawrence Livermore National Security, LLC and other CEED contributors. // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. // // SPDX-License-Identifier: BSD-2-Clause // // This file is part of CEED: http://github.com/ceed /// @file /// libCEED QFunctions for diffusion operator example using PETSc #include #ifndef CEED_RUNNING_JIT_PASS #include #endif // ----------------------------------------------------------------------------- // This QFunction sets up the rhs and true solution for the problem // ----------------------------------------------------------------------------- CEED_QFUNCTION(SetupMassDiffRhs)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { #ifndef M_PI #define M_PI 3.14159265358979323846 #endif const CeedScalar *x = in[0], *w = in[1]; CeedScalar *true_soln = out[0], *rhs = out[1]; // Quadrature Point Loop CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { const CeedScalar c[3] = {0, 1., 2.}; const CeedScalar k[3] = {1., 2., 3.}; true_soln[i] = sin(M_PI * (c[0] + k[0] * x[i + Q * 0])) * sin(M_PI * (c[1] + k[1] * x[i + Q * 1])) * sin(M_PI * (c[2] + k[2] * x[i + Q * 2])); rhs[i] = w[i + Q * 0] * (M_PI * M_PI * (k[0] * k[0] + k[1] * k[1] + k[2] * k[2]) + 1.0) * true_soln[i]; } // End of Quadrature Point Loop return 0; } // ----------------------------------------------------------------------------- // This QFunction applies the mass + diffusion operator for a scalar field. // // Inputs: // u - Input vector at quadrature points // ug - Input vector gradient at quadrature points // q_data - Geometric factors // // Output: // v - Output vector (test functions) at quadrature points // vg - Output vector (test functions) gradient at quadrature points // ----------------------------------------------------------------------------- CEED_QFUNCTION(MassDiff)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { const CeedScalar *u = in[0], *ug = in[1], *q_data = in[2]; CeedScalar *v = out[0], *vg = out[1]; // Quadrature Point Loop CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { // Read spatial derivatives of u const CeedScalar du[3] = {ug[i + Q * 0], ug[i + Q * 1], ug[i + Q * 2]}; // Read q_data (dXdxdXdx_T symmetric matrix) const CeedScalar dXdxdXdx_T[3][3] = { {q_data[i + 1 * Q], q_data[i + 2 * Q], q_data[i + 3 * Q]}, {q_data[i + 2 * Q], q_data[i + 4 * Q], q_data[i + 5 * Q]}, {q_data[i + 3 * Q], q_data[i + 5 * Q], q_data[i + 6 * Q]} }; // Mass v[i] = q_data[i + 0 * Q] * u[i]; // Diff for (int j = 0; j < 3; j++) { // j = direction of vg vg[i + j * Q] = (du[0] * dXdxdXdx_T[0][j] + du[1] * dXdxdXdx_T[1][j] + du[2] * dXdxdXdx_T[2][j]); } } // End of Quadrature Point Loop return 0; } // -----------------------------------------------------------------------------