xref: /libCEED/examples/fluids/problems/blasius.c (revision 7b8d38910f090ec36d75f5ddf0ab25cdb6e25045)

// Copyright (c) 2017-2022, 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
/// Utility functions for setting up Blasius Boundary Layer

#include "../navierstokes.h"
#include "../qfunctions/blasius.h"
#include "stg_shur14.h"

/* \brief Modify the domain and mesh for blasius
 *
 * Modifies mesh such that `N` elements are within `refine_height` with a
 * geometric growth ratio of `growth`. Excess elements are then distributed
 * linearly in logspace to the top surface.
 *
 * The top surface is also angled downwards, so that it may be used as an
 * outflow. It's angle is controlled by `top_angle` (in units of degrees).
 */
static PetscErrorCode ModifyMesh(DM dm, PetscInt dim, PetscReal growth,
                                 PetscInt N, PetscReal refine_height,
                                 PetscReal top_angle) {

  PetscInt ierr, narr, ncoords;
  PetscReal domain_min[3], domain_max[3], domain_size[3];
  PetscScalar *arr_coords;
  Vec vec_coords;
  PetscFunctionBeginUser;

  PetscReal angle_coeff = tan(top_angle*(M_PI/180));

  // Get domain boundary information
  ierr = DMGetBoundingBox(dm, domain_min, domain_max); CHKERRQ(ierr);
  for (PetscInt i=0; i<3; i++) domain_size[i] = domain_max[i] - domain_min[i];

  // Get coords array from DM
  ierr = DMGetCoordinatesLocal(dm, &vec_coords); CHKERRQ(ierr);
  ierr = VecGetLocalSize(vec_coords, &narr); CHKERRQ(ierr);
  ierr = VecGetArray(vec_coords, &arr_coords); CHKERRQ(ierr);

  PetscScalar (*coords)[dim] = (PetscScalar(*)[dim]) arr_coords;
  ncoords = narr/dim;

  // Get mesh information
  PetscInt nmax = 3, faces[3];
  ierr = PetscOptionsGetIntArray(NULL, NULL, "-dm_plex_box_faces", faces, &nmax,
                                 NULL); CHKERRQ(ierr);

  // Calculate the first element height
  PetscReal dybox = domain_size[1]/faces[1];
  PetscReal dy1   = refine_height*(growth-1)/(pow(growth, N)-1);

  // Calculate log of sizing outside BL
  PetscReal logdy = (log(domain_max[1]) - log(refine_height)) / (faces[1] - N);

  for(PetscInt i=0; i<ncoords; i++) {
    PetscInt y_box_index = round(coords[i][1]/dybox);
    if(y_box_index <= N) {
      coords[i][1] = (1 - (coords[i][0]/domain_max[0])*angle_coeff) *
                     dy1*(pow(growth, coords[i][1]/dybox)-1)/(growth-1);
    } else {
      PetscInt j = y_box_index - N;
      coords[i][1] = (1 - (coords[i][0]/domain_max[0])*angle_coeff) *
                     exp(log(refine_height) + logdy*j);
    }
  }

  ierr = VecRestoreArray(vec_coords, &arr_coords); CHKERRQ(ierr);
  ierr = DMSetCoordinatesLocal(dm, vec_coords); CHKERRQ(ierr);

  PetscFunctionReturn(0);
}

PetscErrorCode NS_BLASIUS(ProblemData *problem, DM dm, void *ctx) {

  PetscInt ierr;
  User           user    = *(User *)ctx;
  MPI_Comm       comm    = PETSC_COMM_WORLD;
  PetscBool      use_stg = PETSC_FALSE;
  BlasiusContext blasius_ctx;
  NewtonianIdealGasContext newtonian_ig_ctx;
  CeedQFunctionContext blasius_context;

  PetscFunctionBeginUser;
  ierr = NS_NEWTONIAN_IG(problem, dm, ctx); CHKERRQ(ierr);
  ierr = PetscCalloc1(1, &blasius_ctx); CHKERRQ(ierr);

  // ------------------------------------------------------
  //               SET UP Blasius
  // ------------------------------------------------------
  CeedQFunctionContextDestroy(&problem->ics.qfunction_context);
  problem->ics.qfunction               = ICsBlasius;
  problem->ics.qfunction_loc           = ICsBlasius_loc;
  problem->apply_outflow.qfunction     = Blasius_Outflow;
  problem->apply_outflow.qfunction_loc = Blasius_Outflow_loc;
  problem->apply_inflow.qfunction      = Blasius_Inflow;
  problem->apply_inflow.qfunction_loc  = Blasius_Inflow_loc;

  CeedScalar Uinf   = 40;          // m/s
  CeedScalar delta0 = 4.2e-4;      // m
  CeedScalar theta0 = 288.;        // K
  CeedScalar P0     = 1.01e5;      // Pa
  PetscBool  weakT  = PETSC_FALSE; // weak density or temperature
  PetscReal  mesh_refine_height = 5.9e-4; // m
  PetscReal  mesh_growth        = 1.08;   // [-]
  PetscInt   mesh_Ndelta        = 45;     // [-]
  PetscReal  mesh_top_angle     = 5;      // degrees

  PetscOptionsBegin(comm, NULL, "Options for CHANNEL problem", NULL);
  ierr = PetscOptionsBool("-weakT", "Change from rho weak to T weak at inflow",
                          NULL, weakT, &weakT, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-Uinf", "Velocity at boundary layer edge",
                            NULL, Uinf, &Uinf, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-delta0", "Boundary layer height at inflow",
                            NULL, delta0, &delta0, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-theta0", "Wall temperature",
                            NULL, theta0, &theta0, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-P0", "Pressure at outflow",
                            NULL, P0, &P0, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsBoundedInt("-platemesh_Ndelta",
                                "Velocity at boundary layer edge",
                                NULL, mesh_Ndelta, &mesh_Ndelta, NULL, 1); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-platemesh_refine_height",
                            "Height of boundary layer mesh refinement",
                            NULL, mesh_refine_height, &mesh_refine_height, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-platemesh_growth",
                            "Geometric growth rate of boundary layer mesh",
                            NULL, mesh_growth, &mesh_growth, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsScalar("-platemesh_top_angle",
                            "Geometric top_angle rate of boundary layer mesh",
                            NULL, mesh_top_angle, &mesh_top_angle, NULL); CHKERRQ(ierr);
  ierr = PetscOptionsBool("-stg_use", "Use STG inflow boundary condition",
                          NULL, use_stg, &use_stg, NULL); CHKERRQ(ierr);
  PetscOptionsEnd();

  PetscScalar meter  = user->units->meter;
  PetscScalar second = user->units->second;
  PetscScalar Kelvin = user->units->Kelvin;
  PetscScalar Pascal = user->units->Pascal;

  theta0 *= Kelvin;
  P0     *= Pascal;
  Uinf   *= meter / second;
  delta0 *= meter;

  ierr = ModifyMesh(dm, problem->dim, mesh_growth, mesh_Ndelta, mesh_refine_height, mesh_top_angle);
  CHKERRQ(ierr);

  // Some properties depend on parameters from NewtonianIdealGas
  CeedQFunctionContextGetData(problem->apply_vol_rhs.qfunction_context,
                              CEED_MEM_HOST, &newtonian_ig_ctx);

  blasius_ctx->weakT     = weakT;
  blasius_ctx->Uinf      = Uinf;
  blasius_ctx->delta0    = delta0;
  blasius_ctx->theta0    = theta0;
  blasius_ctx->P0        = P0;
  blasius_ctx->implicit  = user->phys->implicit;
  blasius_ctx->newtonian_ctx = *newtonian_ig_ctx;

  CeedQFunctionContextRestoreData(problem->apply_vol_rhs.qfunction_context,
                                  &newtonian_ig_ctx);

  CeedQFunctionContextCreate(user->ceed, &blasius_context);
  CeedQFunctionContextSetData(blasius_context, CEED_MEM_HOST,
                              CEED_USE_POINTER,
                              sizeof(*blasius_ctx), blasius_ctx);
  CeedQFunctionContextSetDataDestroy(blasius_context, CEED_MEM_HOST,
                                     FreeContextPetsc);

  problem->ics.qfunction_context = blasius_context;
  CeedQFunctionContextReferenceCopy(blasius_context,
                                    &problem->apply_inflow.qfunction_context);
  CeedQFunctionContextReferenceCopy(blasius_context,
                                    &problem->apply_outflow.qfunction_context);
  if (use_stg) {
    ierr = SetupSTG(comm, dm, problem, user, weakT, theta0, P0); CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}