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 /// Utility functions for setting up Blasius Boundary Layer 10 11 #include "../navierstokes.h" 12 #include "../qfunctions/blasius.h" 13 #include "stg_shur14.h" 14 15 /* \brief Modify the domain and mesh for blasius 16 * 17 * Modifies mesh such that `N` elements are within `refine_height` with a 18 * geometric growth ratio of `growth`. Excess elements are then distributed 19 * linearly in logspace to the top surface. 20 * 21 * The top surface is also angled downwards, so that it may be used as an 22 * outflow. It's angle is controlled by `top_angle` (in units of degrees). 23 */ 24 PetscErrorCode modifyMesh(DM dm, PetscInt dim, PetscReal growth, PetscInt N, 25 PetscReal refine_height, PetscReal top_angle) { 26 27 PetscInt ierr, narr, ncoords; 28 PetscReal domain_min[3], domain_max[3], domain_size[3]; 29 PetscScalar *arr_coords; 30 Vec vec_coords; 31 PetscFunctionBeginUser; 32 33 PetscReal angle_coeff = tan(top_angle*(M_PI/180)); 34 35 // Get domain boundary information 36 ierr = DMGetBoundingBox(dm, domain_min, domain_max); CHKERRQ(ierr); 37 for (PetscInt i=0; i<3; i++) domain_size[i] = domain_max[i] - domain_min[i]; 38 39 // Get coords array from DM 40 ierr = DMGetCoordinatesLocal(dm, &vec_coords); CHKERRQ(ierr); 41 ierr = VecGetLocalSize(vec_coords, &narr); CHKERRQ(ierr); 42 ierr = VecGetArray(vec_coords, &arr_coords); CHKERRQ(ierr); 43 44 PetscScalar (*coords)[dim] = (PetscScalar(*)[dim]) arr_coords; 45 ncoords = narr/dim; 46 47 // Get mesh information 48 PetscInt nmax = 3, faces[3]; 49 ierr = PetscOptionsGetIntArray(NULL, NULL, "-dm_plex_box_faces", faces, &nmax, 50 NULL); CHKERRQ(ierr); 51 52 // Calculate the first element height 53 PetscReal dybox = domain_size[1]/faces[1]; 54 PetscReal dy1 = refine_height*(growth-1)/(pow(growth, N)-1); 55 56 // Calculate log of sizing outside BL 57 PetscReal logdy = (log(domain_max[1]) - log(refine_height)) / (faces[1] - N); 58 59 for(PetscInt i=0; i<ncoords; i++) { 60 PetscInt y_box_index = round(coords[i][1]/dybox); 61 if(y_box_index <= N) { 62 coords[i][1] = (1 - (coords[i][0]/domain_max[0])*angle_coeff) * 63 dy1*(pow(growth, coords[i][1]/dybox)-1)/(growth-1); 64 } else { 65 PetscInt j = y_box_index - N; 66 coords[i][1] = (1 - (coords[i][0]/domain_max[0])*angle_coeff) * 67 exp(log(refine_height) + logdy*j); 68 } 69 } 70 71 ierr = VecRestoreArray(vec_coords, &arr_coords); CHKERRQ(ierr); 72 ierr = DMSetCoordinatesLocal(dm, vec_coords); CHKERRQ(ierr); 73 74 PetscFunctionReturn(0); 75 } 76 77 PetscErrorCode NS_BLASIUS(ProblemData *problem, DM dm, void *ctx) { 78 79 PetscInt ierr; 80 User user = *(User *)ctx; 81 MPI_Comm comm = PETSC_COMM_WORLD; 82 PetscBool use_stg = PETSC_FALSE; 83 BlasiusContext blasius_ctx; 84 NewtonianIdealGasContext newtonian_ig_ctx; 85 CeedQFunctionContext blasius_context; 86 87 PetscFunctionBeginUser; 88 ierr = NS_NEWTONIAN_IG(problem, dm, ctx); CHKERRQ(ierr); 89 ierr = PetscCalloc1(1, &blasius_ctx); CHKERRQ(ierr); 90 91 // ------------------------------------------------------ 92 // SET UP Blasius 93 // ------------------------------------------------------ 94 CeedQFunctionContextDestroy(&problem->ics.qfunction_context); 95 problem->ics.qfunction = ICsBlasius; 96 problem->ics.qfunction_loc = ICsBlasius_loc; 97 problem->apply_inflow.qfunction = Blasius_Inflow; 98 problem->apply_inflow.qfunction_loc = Blasius_Inflow_loc; 99 problem->apply_inflow_jacobian.qfunction = Blasius_Inflow_Jacobian; 100 problem->apply_inflow_jacobian.qfunction_loc = Blasius_Inflow_Jacobian_loc; 101 problem->apply_outflow.qfunction = Blasius_Outflow; 102 problem->apply_outflow.qfunction_loc = Blasius_Outflow_loc; 103 problem->apply_outflow_jacobian.qfunction = Blasius_Outflow_Jacobian; 104 problem->apply_outflow_jacobian.qfunction_loc = Blasius_Outflow_Jacobian_loc; 105 106 // CeedScalar mu = .04; // Pa s, dynamic viscosity 107 CeedScalar Uinf = 40; // m/s 108 CeedScalar delta0 = 4.2e-4; // m 109 PetscReal refine_height = 5.9e-4; // m 110 PetscReal growth = 1.08; // [-] 111 PetscInt Ndelta = 45; // [-] 112 PetscReal top_angle = 5; // degrees 113 CeedScalar theta0 = 288.; // K 114 CeedScalar P0 = 1.01e5; // Pa 115 PetscBool weakT = PETSC_FALSE; // weak density or temperature 116 117 PetscOptionsBegin(comm, NULL, "Options for CHANNEL problem", NULL); 118 ierr = PetscOptionsBool("-weakT", "Change from rho weak to T weak at inflow", 119 NULL, weakT, &weakT, NULL); CHKERRQ(ierr); 120 ierr = PetscOptionsScalar("-Uinf", "Velocity at boundary layer edge", 121 NULL, Uinf, &Uinf, NULL); CHKERRQ(ierr); 122 ierr = PetscOptionsScalar("-delta0", "Boundary layer height at inflow", 123 NULL, delta0, &delta0, NULL); CHKERRQ(ierr); 124 ierr = PetscOptionsScalar("-theta0", "Wall temperature", 125 NULL, theta0, &theta0, NULL); CHKERRQ(ierr); 126 ierr = PetscOptionsScalar("-P0", "Pressure at outflow", 127 NULL, P0, &P0, NULL); CHKERRQ(ierr); 128 ierr = PetscOptionsBoundedInt("-Ndelta", "Velocity at boundary layer edge", 129 NULL, Ndelta, &Ndelta, NULL, 1); CHKERRQ(ierr); 130 ierr = PetscOptionsScalar("-refine_height", 131 "Height of boundary layer mesh refinement", 132 NULL, refine_height, &refine_height, NULL); CHKERRQ(ierr); 133 ierr = PetscOptionsScalar("-growth", 134 "Geometric growth rate of boundary layer mesh", 135 NULL, growth, &growth, NULL); CHKERRQ(ierr); 136 ierr = PetscOptionsScalar("-top_angle", 137 "Geometric top_angle rate of boundary layer mesh", 138 NULL, top_angle, &top_angle, NULL); CHKERRQ(ierr); 139 ierr = PetscOptionsBool("-stg_use", "Use STG inflow boundary condition", 140 NULL, use_stg, &use_stg, NULL); CHKERRQ(ierr); 141 PetscOptionsEnd(); 142 143 PetscScalar meter = user->units->meter; 144 PetscScalar second = user->units->second; 145 PetscScalar Kelvin = user->units->Kelvin; 146 PetscScalar Pascal = user->units->Pascal; 147 148 theta0 *= Kelvin; 149 P0 *= Pascal; 150 Uinf *= meter / second; 151 delta0 *= meter; 152 153 ierr = modifyMesh(dm, problem->dim, growth, Ndelta, refine_height, top_angle); 154 CHKERRQ(ierr); 155 156 // Some properties depend on parameters from NewtonianIdealGas 157 CeedQFunctionContextGetData(problem->apply_vol_rhs.qfunction_context, 158 CEED_MEM_HOST, &newtonian_ig_ctx); 159 160 blasius_ctx->weakT = weakT; 161 blasius_ctx->Uinf = Uinf; 162 blasius_ctx->delta0 = delta0; 163 blasius_ctx->theta0 = theta0; 164 blasius_ctx->P0 = P0; 165 blasius_ctx->implicit = user->phys->implicit; 166 blasius_ctx->newtonian_ctx = *newtonian_ig_ctx; 167 168 CeedQFunctionContextRestoreData(problem->apply_vol_rhs.qfunction_context, 169 &newtonian_ig_ctx); 170 171 CeedQFunctionContextCreate(user->ceed, &blasius_context); 172 CeedQFunctionContextSetData(blasius_context, CEED_MEM_HOST, 173 CEED_USE_POINTER, 174 sizeof(*blasius_ctx), blasius_ctx); 175 CeedQFunctionContextSetDataDestroy(blasius_context, CEED_MEM_HOST, 176 FreeContextPetsc); 177 178 problem->ics.qfunction_context = blasius_context; 179 CeedQFunctionContextReferenceCopy(blasius_context, 180 &problem->apply_inflow.qfunction_context); 181 CeedQFunctionContextReferenceCopy(blasius_context, 182 &problem->apply_inflow_jacobian.qfunction_context); 183 CeedQFunctionContextReferenceCopy(blasius_context, 184 &problem->apply_outflow.qfunction_context); 185 CeedQFunctionContextReferenceCopy(blasius_context, 186 &problem->apply_outflow_jacobian.qfunction_context); 187 if (use_stg) { 188 ierr = SetupSTG(comm, dm, problem, user, weakT, theta0, P0); CHKERRQ(ierr); 189 } 190 PetscFunctionReturn(0); 191 } 192