13d8e8822SJeremy L Thompson // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 23d8e8822SJeremy L Thompson // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 33d8e8822SJeremy L Thompson // 43d8e8822SJeremy L Thompson // SPDX-License-Identifier: BSD-2-Clause 53d8e8822SJeremy L Thompson // 63d8e8822SJeremy L Thompson // This file is part of CEED: http://github.com/ceed 73d8e8822SJeremy L Thompson 8ccaff030SJeremy L Thompson /// @file 9ccaff030SJeremy L Thompson /// Boundary condition functions for solid mechanics example using PETSc 10ccaff030SJeremy L Thompson 115754ecacSJeremy L Thompson #include "../include/boundary.h" 12ccaff030SJeremy L Thompson 13ccaff030SJeremy L Thompson // ----------------------------------------------------------------------------- 14ccaff030SJeremy L Thompson // Boundary Functions 15ccaff030SJeremy L Thompson // ----------------------------------------------------------------------------- 16*ea61e9acSJeremy L Thompson // Note: If additional boundary conditions are added, an update is needed in elasticity.h for the boundaryOptions variable. 17ccaff030SJeremy L Thompson 18ccaff030SJeremy L Thompson // BCMMS - boundary function 19*ea61e9acSJeremy L Thompson // Values on all points of the mesh is set based on given solution below for u[0], u[1], u[2] 202b730f8bSJeremy L Thompson PetscErrorCode BCMMS(PetscInt dim, PetscReal load_increment, const PetscReal coords[], PetscInt num_comp_u, PetscScalar *u, void *ctx) { 21ccaff030SJeremy L Thompson PetscScalar x = coords[0]; 22ccaff030SJeremy L Thompson PetscScalar y = coords[1]; 23ccaff030SJeremy L Thompson PetscScalar z = coords[2]; 24ccaff030SJeremy L Thompson 25ccaff030SJeremy L Thompson PetscFunctionBeginUser; 26ccaff030SJeremy L Thompson 27d1d35e2fSjeremylt u[0] = exp(2 * x) * sin(3 * y) * cos(4 * z) / 1e8 * load_increment; 28d1d35e2fSjeremylt u[1] = exp(3 * y) * sin(4 * z) * cos(2 * x) / 1e8 * load_increment; 29d1d35e2fSjeremylt u[2] = exp(4 * z) * sin(2 * x) * cos(3 * y) / 1e8 * load_increment; 30ccaff030SJeremy L Thompson 31ccaff030SJeremy L Thompson PetscFunctionReturn(0); 32ccaff030SJeremy L Thompson }; 33ccaff030SJeremy L Thompson 3431dc5d86Sjeremylt #ifndef M_PI 3531dc5d86Sjeremylt #define M_PI 3.14159265358979323846 3631dc5d86Sjeremylt #endif 3731dc5d86Sjeremylt 38*ea61e9acSJeremy L Thompson // BCClamp - fix boundary values with affine transformation at fraction of load increment 392b730f8bSJeremy L Thompson PetscErrorCode BCClamp(PetscInt dim, PetscReal load_increment, const PetscReal coords[], PetscInt num_comp_u, PetscScalar *u, void *ctx) { 4031dc5d86Sjeremylt PetscScalar x = coords[0]; 4131dc5d86Sjeremylt PetscScalar y = coords[1]; 4231dc5d86Sjeremylt PetscScalar z = coords[2]; 4331dc5d86Sjeremylt PetscScalar(*clampMax) = (PetscScalar(*))ctx; 4431dc5d86Sjeremylt 4531dc5d86Sjeremylt PetscFunctionBeginUser; 4672d03b64SArash Mehraban PetscScalar 4772d03b64SArash Mehraban // Translation vector 48d1d35e2fSjeremylt lx = clampMax[0] * load_increment, 492b730f8bSJeremy L Thompson ly = clampMax[1] * load_increment, lz = clampMax[2] * load_increment, 5072d03b64SArash Mehraban // Normalized rotation axis 512b730f8bSJeremy L Thompson kx = clampMax[3], ky = clampMax[4], kz = clampMax[5], 5272d03b64SArash Mehraban // Rotation polynomial 532b730f8bSJeremy L Thompson c_0 = clampMax[6] * M_PI, c_1 = clampMax[7] * M_PI, cx = kx * x + ky * y + kz * z, 5472d03b64SArash Mehraban // Rotation magnitude 55d1d35e2fSjeremylt theta = (c_0 + c_1 * cx) * load_increment; 5631dc5d86Sjeremylt PetscScalar c = cos(theta), s = sin(theta); 5731dc5d86Sjeremylt 5856f0bea9Sjeremylt u[0] = lx + s * (-kz * y + ky * z) + (1 - c) * (-(ky * ky + kz * kz) * x + kx * ky * y + kx * kz * z); 5956f0bea9Sjeremylt u[1] = ly + s * (kz * x + -kx * z) + (1 - c) * (kx * ky * x + -(kx * kx + kz * kz) * y + ky * kz * z); 6056f0bea9Sjeremylt u[2] = lz + s * (-ky * x + kx * y) + (1 - c) * (kx * kz * x + ky * kz * y + -(kx * kx + ky * ky) * z); 6131dc5d86Sjeremylt PetscFunctionReturn(0); 6231dc5d86Sjeremylt }; 63