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ref_phys.c
1583 lines (1419 loc) · 52 KB
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ref_phys.c
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/* Copyright 2014 United States Government as represented by the
* Administrator of the National Aeronautics and Space
* Administration. No copyright is claimed in the United States under
* Title 17, U.S. Code. All Other Rights Reserved.
*
* The refine platform is licensed under the Apache License, Version
* 2.0 (the "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
* http://www.apache.org/licenses/LICENSE-2.0.
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
* implied. See the License for the specific language governing
* permissions and limitations under the License.
*/
#include "ref_phys.h"
#include <math.h>
#include <string.h>
#include "ref_edge.h"
#include "ref_egads.h"
#include "ref_layer.h"
#include "ref_malloc.h"
#include "ref_math.h"
#include "ref_matrix.h"
#include "ref_part.h"
#include "ref_recon.h"
#include "ref_sort.h"
REF_STATUS ref_phys_flip_twod_yz(REF_NODE ref_node, REF_INT ldim,
REF_DBL *field) {
REF_INT node;
REF_DBL temp;
REF_INT nequ;
nequ = 0;
if (ldim > 5 && 0 == ldim % 5) nequ = 5;
if (ldim > 6 && 0 == ldim % 6) nequ = 6;
each_ref_node_valid_node(ref_node, node) {
if (ldim >= 5) {
temp = field[2 + ldim * node];
field[2 + ldim * node] = field[3 + ldim * node];
field[3 + ldim * node] = temp;
}
if (nequ > 0) {
temp = field[nequ + 2 + ldim * node];
field[nequ + 2 + ldim * node] = field[nequ + 3 + ldim * node];
field[nequ + 3 + ldim * node] = temp;
}
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_make_primitive(REF_DBL *conserved, REF_DBL *primitive) {
REF_DBL rho, u, v, w, p, e;
REF_DBL gamma = 1.4;
rho = conserved[0];
u = conserved[1] / conserved[0];
v = conserved[2] / conserved[0];
w = conserved[3] / conserved[0];
e = conserved[4];
p = (gamma - 1.0) * (e - 0.5 * rho * (u * u + v * v + w * w));
primitive[0] = rho;
primitive[1] = u;
primitive[2] = v;
primitive[3] = w;
primitive[4] = p;
return REF_SUCCESS;
}
REF_STATUS ref_phys_make_conserved(REF_DBL *primitive, REF_DBL *conserved) {
REF_DBL rho, u, v, w, p, e;
REF_DBL gamma = 1.4;
rho = primitive[0];
u = primitive[1];
v = primitive[2];
w = primitive[3];
p = primitive[4];
e = p / (gamma - 1.0) + 0.5 * rho * (u * u + v * v + w * w);
conserved[0] = rho;
conserved[1] = rho * u;
conserved[2] = rho * v;
conserved[3] = rho * w;
conserved[4] = e;
return REF_SUCCESS;
}
REF_STATUS ref_phys_entropy_adjoint(REF_DBL *primitive, REF_DBL *dual) {
REF_DBL rho, u, v, w, p, s, vel2;
REF_DBL gamma = 1.4;
rho = primitive[0];
u = primitive[1];
v = primitive[2];
w = primitive[3];
p = primitive[4];
/* entropy adjoint, Equ. (11), AIAA 2009-3790 */
s = log(p / pow(rho, gamma));
vel2 = u * u + v * v + w * w;
dual[0] = (gamma - s) / (gamma - 1.0) - 0.5 * rho * vel2 / p;
dual[1] = rho * u / p;
dual[2] = rho * v / p;
dual[3] = rho * w / p;
dual[4] = -rho / p;
return REF_SUCCESS;
}
REF_STATUS ref_phys_entropy_flux(REF_DBL *primitive, REF_DBL *flux) {
REF_DBL rho, u, v, w, p, s, U;
REF_DBL gamma = 1.4;
rho = primitive[0];
u = primitive[1];
v = primitive[2];
w = primitive[3];
p = primitive[4];
s = log(p / pow(rho, gamma));
U = -rho * s / (gamma - 1.0);
flux[0] = U * u;
flux[1] = U * v;
flux[2] = U * w;
return REF_SUCCESS;
}
REF_STATUS ref_phys_euler(REF_DBL *state, REF_DBL *direction, REF_DBL *flux) {
REF_DBL rho, u, v, w, p, e, speed;
REF_DBL gamma = 1.4;
rho = state[0];
u = state[1];
v = state[2];
w = state[3];
p = state[4];
e = p / (gamma - 1.0) + 0.5 * rho * (u * u + v * v + w * w);
speed = u * direction[0] + v * direction[1] + w * direction[2];
flux[0] = rho * speed;
flux[1] = rho * speed * u + p * direction[0];
flux[2] = rho * speed * v + p * direction[1];
flux[3] = rho * speed * w + p * direction[2];
flux[4] = speed * (e + p);
return REF_SUCCESS;
}
/* I do like CFD, vol 2, page 77, (3.6.8) */
REF_STATUS ref_phys_euler_jac(REF_DBL *state, REF_DBL *direction,
REF_DBL *dflux_dcons) {
REF_DBL rho, u, v, w, p, q2, e, qn;
REF_DBL gamma = 1.4;
REF_DBL K, H;
REF_DBL nx, ny, nz;
nx = direction[0];
ny = direction[1];
nz = direction[2];
rho = state[0];
u = state[1];
v = state[2];
w = state[3];
p = state[4];
K = gamma - 1;
q2 = (u * u + v * v + w * w);
e = p / K + 0.5 * rho * q2;
H = (e + p) / rho;
qn = u * nx + v * ny + w * nz;
dflux_dcons[0 + 0 * 5] = 0.0;
dflux_dcons[1 + 0 * 5] = 0.5 * K * q2 * nx - u * qn;
dflux_dcons[2 + 0 * 5] = 0.5 * K * q2 * ny - v * qn;
dflux_dcons[3 + 0 * 5] = 0.5 * K * q2 * nz - w * qn;
dflux_dcons[4 + 0 * 5] = (0.5 * K * q2 - H) * qn;
dflux_dcons[0 + 1 * 5] = nx;
dflux_dcons[1 + 1 * 5] = u * nx - K * u * nx + qn;
dflux_dcons[2 + 1 * 5] = v * nx - K * u * ny;
dflux_dcons[3 + 1 * 5] = w * nx - K * u * nz;
dflux_dcons[4 + 1 * 5] = H * nx - K * u * qn;
dflux_dcons[0 + 2 * 5] = ny;
dflux_dcons[1 + 2 * 5] = u * ny - K * v * nx;
dflux_dcons[2 + 2 * 5] = v * ny - K * v * ny + qn;
dflux_dcons[3 + 2 * 5] = w * ny - K * v * nz;
dflux_dcons[4 + 2 * 5] = H * ny - K * v * qn;
dflux_dcons[0 + 3 * 5] = nz;
dflux_dcons[1 + 3 * 5] = u * nz - K * w * nx;
dflux_dcons[2 + 3 * 5] = v * nz - K * w * ny;
dflux_dcons[3 + 3 * 5] = w * nz - K * w * nz + qn;
dflux_dcons[4 + 3 * 5] = H * nz - K * w * qn;
dflux_dcons[0 + 4 * 5] = 0;
dflux_dcons[1 + 4 * 5] = K * nx;
dflux_dcons[2 + 4 * 5] = K * ny;
dflux_dcons[3 + 4 * 5] = K * nz;
dflux_dcons[4 + 4 * 5] = gamma * qn;
return REF_SUCCESS;
}
REF_STATUS viscosity_law(REF_DBL t, REF_DBL reference_temp_k, REF_DBL *mu) {
REF_DBL sutherland_constant_k = 110.56;
REF_DBL sutherland_temp;
*mu = 1.0;
if (reference_temp_k > 0.0) {
sutherland_temp = sutherland_constant_k / reference_temp_k;
*mu = (1.0 + sutherland_temp) / (t + sutherland_temp) * t * sqrt(t);
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_viscous(REF_DBL *state, REF_DBL *grad, REF_DBL turb,
REF_DBL mach, REF_DBL re, REF_DBL reference_temp,
REF_DBL *dir, REF_DBL *flux) {
REF_DBL rho, u, v, w, p, mu, mu_t, t;
REF_DBL gamma = 1.4;
REF_DBL pr = 0.72;
REF_DBL turbulent_pr = 0.90;
REF_DBL tau[3][3], qdot[3];
REF_INT i, j, k;
REF_DBL thermal_conductivity, dtdx;
rho = state[0];
u = state[1];
v = state[2];
w = state[3];
p = state[4];
t = gamma * p / rho;
RSS(viscosity_law(t, reference_temp, &mu), "sutherlands");
RSS(ref_phys_mut_sa(turb, rho, mu / rho, &mu_t), "eddy viscosity");
thermal_conductivity =
-(mu / (pr * (gamma - 1.0)) + mu_t / (turbulent_pr * (gamma - 1.0)));
mu += mu_t;
mu *= mach / re;
thermal_conductivity *= mach / re;
for (i = 0; i < 3; i++) {
for (j = 0; j < 3; j++) {
tau[i][j] = mu * (grad[j + 3 * (1 + i)] + grad[i + 3 * (1 + j)]);
}
for (k = 0; k < 3; k++) {
tau[i][i] += (-2.0 / 3.0) * mu * grad[k + 3 * (1 + k)];
}
}
for (i = 0; i < 3; i++) {
/* t = gamma * p / rho quotient rule */
dtdx = gamma * (grad[i + 3 * 4] * rho - p * grad[i + 3 * 0]) / rho / rho;
qdot[i] = thermal_conductivity * dtdx;
}
flux[0] = 0.0;
flux[1] = dir[0] * tau[0][0] + dir[1] * tau[0][1] + dir[2] * tau[0][2];
flux[2] = dir[0] * tau[1][0] + dir[1] * tau[1][1] + dir[2] * tau[1][2];
flux[3] = dir[0] * tau[2][0] + dir[1] * tau[2][1] + dir[2] * tau[2][2];
flux[4] = dir[0] * (u * tau[0][0] + v * tau[0][1] + w * tau[0][2] - qdot[0]) +
dir[1] * (u * tau[1][0] + v * tau[1][1] + w * tau[1][2] - qdot[1]) +
dir[2] * (u * tau[2][0] + v * tau[2][1] + w * tau[2][2] - qdot[2]);
return REF_SUCCESS;
}
REF_STATUS ref_phys_mut_sa(REF_DBL turb, REF_DBL rho, REF_DBL nu,
REF_DBL *mut_sa) {
if (turb > 0.0 && rho > 0.0 && nu > 0.0) {
REF_DBL chi, chi3, fv1;
REF_DBL cv1 = 7.1;
if (!ref_math_divisible(turb, nu)) return REF_DIV_ZERO;
chi = turb / nu;
chi3 = pow(chi, 3);
fv1 = chi3 / (chi3 + pow(cv1, 3));
*mut_sa = rho * turb * fv1;
} else {
*mut_sa = 0.0;
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_convdiff(REF_DBL *state, REF_DBL *grad, REF_DBL diffusivity,
REF_DBL *dir, REF_DBL *flux) {
REF_DBL velocity[3];
velocity[0] = 1.0;
velocity[1] = 1.0;
velocity[2] = 1.0;
flux[0] = ref_math_dot(dir, velocity) * state[0];
flux[0] -= diffusivity * ref_math_dot(dir, grad);
return REF_SUCCESS;
}
REF_STATUS ref_phys_euler_dual_flux(REF_GRID ref_grid, REF_INT ldim,
REF_DBL *primitive_dual,
REF_DBL *dual_flux) {
REF_INT i, node, dir, nvar;
REF_DBL direction[3], state[5], flux[5];
RAS(0 == ldim % 2, "expect even ldim");
RAS(ldim >= 10, "expect ldim >= 10");
nvar = ldim / 2;
each_ref_node_valid_node(ref_grid_node(ref_grid), node) {
for (i = 0; i < 5; i++) {
dual_flux[i + 20 * node] = primitive_dual[nvar + i + ldim * node];
}
}
each_ref_node_valid_node(ref_grid_node(ref_grid), node) {
for (i = 0; i < 15; i++) {
dual_flux[5 + i + 20 * node] = 0.0;
}
}
each_ref_node_valid_node(ref_grid_node(ref_grid), node) {
for (i = 0; i < 5; i++) {
state[i] = primitive_dual[i + ldim * node];
}
for (dir = 0; dir < 3; dir++) {
direction[0] = 0;
direction[1] = 0;
direction[2] = 0;
direction[dir] = 1;
RSS(ref_phys_euler(state, direction, flux), "euler");
for (i = 0; i < 5; i++) {
dual_flux[i + 5 + 5 * dir + 20 * node] += flux[i];
}
}
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_mask_strong_bcs(REF_GRID ref_grid, REF_DICT ref_dict,
REF_BOOL *replace, REF_INT ldim) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_CELL ref_cell;
REF_INT cell, nodes[REF_CELL_MAX_SIZE_PER], cell_node;
REF_INT first, last, i, node, bc;
REF_INT nequ;
nequ = 0;
if (0 == ldim % 5) nequ = 5;
if (0 == ldim % 6) nequ = 6;
each_ref_node_valid_node(ref_node, node) {
for (i = 0; i < ldim; i++) {
replace[i + ldim * node] = REF_FALSE;
}
}
ref_cell = ref_grid_tri(ref_grid);
if (ref_grid_twod(ref_grid)) ref_cell = ref_grid_edg(ref_grid);
each_ref_cell_valid_cell_with_nodes(ref_cell, cell, nodes) {
bc = REF_EMPTY;
RXS(ref_dict_value(ref_dict, nodes[ref_cell_id_index(ref_cell)], &bc),
REF_NOT_FOUND, "bc");
each_ref_cell_cell_node(ref_cell, cell_node) {
node = nodes[cell_node];
if (4000 == bc) {
first = nequ + 1; /* first momentum */
last = nequ + 4; /* energy */
for (i = first; i <= last; i++) replace[i + ldim * node] = REF_TRUE;
if (6 == nequ) replace[nequ + 5 + ldim * node] = REF_TRUE; /* turb */
}
}
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_read_mapbc(REF_DICT ref_dict, const char *mapbc_filename) {
FILE *file;
REF_INT i, n, id, type;
char buffer[1024];
file = fopen(mapbc_filename, "r");
if (NULL == (void *)file) printf("unable to open %s\n", mapbc_filename);
RNS(file, "unable to open file");
RAS(buffer == fgets(buffer, sizeof(buffer), file),
"unable to read number of lines");
RES(1, sscanf(buffer, "%d", &n), "unable to parse number of lines");
for (i = 0; i < n; i++) {
RES(1, fscanf(file, "%d", &id), "read id");
RES(1, fscanf(file, "%d", &type), "read type");
fgets(buffer, sizeof(buffer), file);
RSS(ref_dict_store(ref_dict, id, type), "store");
}
fclose(file);
return REF_SUCCESS;
}
REF_STATUS ref_phys_read_mapbc_token(REF_DICT ref_dict,
const char *mapbc_filename,
const char *token) {
FILE *file;
REF_INT i, n, id, type;
char name[1024];
file = fopen(mapbc_filename, "r");
if (NULL == (void *)file) printf("unable to open %s\n", mapbc_filename);
RNS(file, "unable to open file");
RES(1, fscanf(file, "%d", &n), "number of lines");
for (i = 0; i < n; i++) {
RES(1, fscanf(file, "%d", &id), "read id");
RES(1, fscanf(file, "%d", &type), "read type");
REIS(32, fgetc(file), "expected space");
fgets(name, sizeof(name), file);
/* printf(">%s<>%s<\n",name,token); */
if (0 == strncmp(name, token, strlen(token))) {
RSS(ref_dict_store(ref_dict, id, type), "store");
}
}
fclose(file);
return REF_SUCCESS;
}
REF_STATUS ref_phys_parse_tags(REF_DICT ref_dict, const char *tags) {
REF_INT id, type;
char *token, *copy;
RNS(tags, "tags string is NULL");
copy = strdup(tags);
RNS(copy, "tags copy is NULL");
type = 4000;
token = strtok(copy, ",");
while (token != NULL) {
id = atoi(token);
RSS(ref_dict_store(ref_dict, id, type), "store");
token = strtok(NULL, ",");
}
free(copy);
return REF_SUCCESS;
}
REF_STATUS ref_phys_av_tag_attributes(REF_DICT ref_dict, REF_GEOM ref_geom) {
const char *patch_type;
REF_INT id, type;
REF_STATUS ref_status;
each_ref_geom_face_id(ref_geom, id) {
ref_status = ref_egads_get_attribute(ref_geom, REF_GEOM_FACE, id,
"av:patch_type", &patch_type);
if (REF_SUCCESS == ref_status) {
if (0 == strcmp("noslipwall", patch_type)) {
type = 4000;
RSS(ref_dict_store(ref_dict, id, type), "store");
}
}
}
return REF_SUCCESS;
}
/* continuous galerkin spike
for (equ = 0; equ < nequ; equ++) {
each_ref_cell_valid_cell_with_nodes(ref_cell, cell, nodes) {
RSS(ref_node_tet_vol(ref_node, nodes, &cell_vol), "vol");
each_ref_cell_cell_node(ref_cell, cell_node) {
for (i = 0; i < 3; i++)
tri_nodes[i] = ref_cell_f2n(ref_cell, i, cell_node, cell);
RSS(ref_node_tri_normal(ref_node, tri_nodes, normal), "vol");
for (dir = 0; dir < 3; dir++) {
normal[dir] /= cell_vol;
}
for (i = 0; i < 4; i++) {
for (dir = 0; dir < 3; dir++) {
system[equ + nsystem * nodes[cell_node]] +=
0.25 *
dual_flux[equ + dir * nequ + nequ + ldim * nodes[i]] *
normal[dir] * cell_vol;
}
}
}
}
}
*/
REF_STATUS ref_phys_cc_fv_res(REF_GRID ref_grid, REF_INT nequ, REF_DBL *flux,
REF_DBL *res) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_CELL ref_cell = ref_grid_tet(ref_grid);
REF_INT equ, dir, cell, cell_node, nodes[REF_CELL_MAX_SIZE_PER];
REF_DBL cell_vol, flux_grad[3];
REF_DBL tet_flux[4], *xyzs[4];
each_ref_cell_valid_cell_with_nodes(ref_cell, cell, nodes) {
each_ref_cell_cell_node(ref_cell, cell_node) {
xyzs[cell_node] = ref_node_xyz_ptr(ref_node, nodes[cell_node]);
}
RSS(ref_node_xyz_vol(xyzs, &cell_vol), "vol");
for (dir = 0; dir < 3; dir++) {
for (equ = 0; equ < nequ; equ++) {
each_ref_cell_cell_node(ref_cell, cell_node) {
tet_flux[cell_node] =
flux[equ + dir * nequ + 3 * nequ * nodes[cell_node]];
}
RSS(ref_node_xyz_grad(xyzs, tet_flux, flux_grad), "grad");
each_ref_cell_cell_node(ref_cell, cell_node) {
res[equ + nequ * nodes[cell_node]] +=
0.25 * flux_grad[dir] * cell_vol;
}
}
}
}
RSS(ref_node_ghost_dbl(ref_node, res, nequ), "ghost res");
return REF_SUCCESS;
}
REF_STATUS ref_phys_cc_fv_embed(REF_GRID ref_grid, REF_INT nequ, REF_DBL *flux,
REF_DBL *res) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_CELL ref_cell = ref_grid_tet(ref_grid);
REF_INT i, equ, dir, cell, cell_node, cell_edge, nodes[REF_CELL_MAX_SIZE_PER];
REF_DBL cell_vol, flux_grad[3];
REF_DBL tet_flux[4], *xyzs[4];
REF_DBL macro_flux[10], macro_xyz[10][3];
REF_INT m2n[8][4] = {{0, 4, 5, 6}, {1, 8, 7, 4}, {2, 7, 9, 6}, {3, 6, 9, 8},
{4, 6, 9, 5}, {7, 8, 9, 4}, {7, 9, 5, 4}, {8, 6, 9, 4}};
REF_INT n0, n1, macro;
REF_RECON_RECONSTRUCTION recon = REF_RECON_L2PROJECTION;
REF_INT node;
REF_DBL sdot0, sdot1, *direqu, *fluxgrad;
REF_BOOL high_order = REF_TRUE;
/* macro node [edge]
3------9[5]--------2
/ \ . /
/ \ . /
/ \ . /
/ \ . /
/ .\ /
6[2] 5[1] 8[4] 7[3]
/ . \ /
/ . \ /
/. \/
0------4[0]--------1
*/
ref_malloc(direqu, ref_node_max(ref_grid_node(ref_grid)), REF_DBL);
ref_malloc(fluxgrad, 3 * ref_node_max(ref_grid_node(ref_grid)), REF_DBL);
for (dir = 0; dir < 3; dir++) {
for (equ = 0; equ < nequ; equ++) {
each_ref_node_valid_node(ref_node, node) {
direqu[node] = flux[equ + dir * nequ + 3 * nequ * node];
}
RSS(ref_recon_gradient(ref_grid, direqu, fluxgrad, recon), "grad");
each_ref_cell_valid_cell_with_nodes(ref_cell, cell, nodes) {
each_ref_cell_cell_node(ref_cell, cell_node) {
for (i = 0; i < 3; i++) {
macro_xyz[cell_node][i] =
ref_node_xyz(ref_node, i, nodes[cell_node]);
}
}
each_ref_cell_cell_edge(ref_cell, cell_edge) {
n0 = nodes[ref_cell_e2n_gen(ref_cell, 0, cell_edge)];
n1 = nodes[ref_cell_e2n_gen(ref_cell, 1, cell_edge)];
for (i = 0; i < 3; i++) {
macro_xyz[4 + cell_edge][i] = 0.5 * (ref_node_xyz(ref_node, i, n0) +
ref_node_xyz(ref_node, i, n1));
}
}
each_ref_cell_cell_node(ref_cell, cell_node) {
i = equ + dir * nequ + 3 * nequ * nodes[cell_node];
macro_flux[cell_node] = flux[i];
}
each_ref_cell_cell_edge(ref_cell, cell_edge) {
n0 = nodes[ref_cell_e2n_gen(ref_cell, 0, cell_edge)];
n1 = nodes[ref_cell_e2n_gen(ref_cell, 1, cell_edge)];
macro_flux[4 + cell_edge] =
0.5 * (flux[equ + dir * nequ + 3 * nequ * n0] +
flux[equ + dir * nequ + 3 * nequ * n1]);
sdot0 = 0.0;
sdot1 = 0.0;
for (i = 0; i < 3; i++) {
sdot0 += (ref_node_xyz(ref_node, i, n1) -
ref_node_xyz(ref_node, i, n0)) *
fluxgrad[i + 3 * n0];
sdot1 += (ref_node_xyz(ref_node, i, n1) -
ref_node_xyz(ref_node, i, n0)) *
fluxgrad[i + 3 * n1];
}
if (high_order) macro_flux[4 + cell_edge] += 0.125 * (sdot0 - sdot1);
}
for (macro = 0; macro < 8; macro++) {
each_ref_cell_cell_node(ref_cell, cell_node) {
xyzs[cell_node] = macro_xyz[m2n[macro][cell_node]];
tet_flux[cell_node] = macro_flux[m2n[macro][cell_node]];
}
RSS(ref_node_xyz_vol(xyzs, &cell_vol), "vol");
RSS(ref_node_xyz_grad(xyzs, tet_flux, flux_grad), "grad");
each_ref_cell_cell_node(ref_cell, cell_node) {
res[equ + nequ * nodes[cell_node]] +=
0.25 * flux_grad[dir] * cell_vol;
}
}
}
}
}
ref_free(fluxgrad);
ref_free(direqu);
RSS(ref_node_ghost_dbl(ref_node, res, nequ), "ghost res");
return REF_SUCCESS;
}
REF_STATUS ref_phys_spalding_yplus(REF_DBL uplus, REF_DBL *yplus) {
*yplus = uplus + 0.1108 * (exp(0.4 * uplus) - 1.0 - 0.4 * uplus);
return REF_SUCCESS;
}
REF_STATUS ref_phys_spalding_dyplus_duplus(REF_DBL uplus,
REF_DBL *dyplus_duplus) {
*dyplus_duplus = 1.0 + 0.1108 * (exp(0.4 * uplus) * 0.4 - 0.4);
return REF_SUCCESS;
}
/*
y = 0.1108 * exp(0.4 * u)
y / 0.1108 = exp(0.4 * u)
log(y / 0.1108) = 0.4 * u
log(y / 0.1108) / 0.4 = u
*/
REF_STATUS ref_phys_spalding_uplus(REF_DBL yplus, REF_DBL *uplus) {
REF_DBL u, y, error, dyplus_duplus;
REF_BOOL keep_going;
REF_INT iters;
u = yplus;
if (u > 12) u = log(yplus / 0.1108) / 0.4;
iters = 0;
keep_going = REF_TRUE;
while (keep_going) {
RSS(ref_phys_spalding_yplus(u, &y), "yplus");
error = y - yplus;
RSS(ref_phys_spalding_dyplus_duplus(u, &dyplus_duplus), "dyplus");
u = u - error / dyplus_duplus;
if (ref_math_divisible(error, y) && ABS(y) > 1.0e-3) {
keep_going = (ABS(error / y) > 1.0e-12);
} else {
keep_going = (ABS(error) > 1.0e-15);
}
iters++;
RAB(iters < 100, "iteration count exceeded",
{ printf(" y %e u %e err %e dydu %e\n", y, u, error, dyplus_duplus); });
}
*uplus = u;
return REF_SUCCESS;
}
REF_STATUS ref_phys_yplus_dist(REF_DBL mach, REF_DBL re, REF_DBL reference_t_k,
REF_DBL rho, REF_DBL t, REF_DBL y, REF_DBL u,
REF_DBL *yplus_dist) {
REF_DBL mu, nu, tau_wall, u_tau;
REF_DBL dudn;
*yplus_dist = -1.0;
RSS(viscosity_law(t, reference_t_k, &mu), "sutherlands");
dudn = u / y;
tau_wall = mu * dudn * mach / re;
u_tau = sqrt(tau_wall / rho);
nu = mu / rho;
*yplus_dist = nu / u_tau * (mach / re);
return REF_SUCCESS;
}
REF_STATUS ref_phys_u_tau(REF_DBL y, REF_DBL u, REF_DBL nu_mach_re,
REF_DBL *u_tau) {
REF_DBL uplus, yplus;
REF_DBL uplus_error;
REF_DBL dyplus_duplus;
REF_DBL uplus_error_du_tau;
REF_DBL duplus_du_tau, dyplus_du_tau;
REF_DBL du_tau;
REF_BOOL keep_going;
REF_INT iters;
REF_BOOL verbose = REF_FALSE;
u = ABS(u); /* only admit positive values */
y = ABS(y);
if (!ref_math_divisible(u, y)) {
*u_tau = nu_mach_re;
if (verbose) {
uplus = u / (*u_tau);
yplus = y * (*u_tau) / nu_mach_re;
uplus_error = 0.0;
printf("u_tau %e yplus %f uplus %f error %e y %e\n", *u_tau, yplus, uplus,
uplus_error, y);
}
return REF_SUCCESS;
}
*u_tau = sqrt(u / y * nu_mach_re); /* guess to start newton */
uplus = 30; /* edge of boundary layer guess */
(*u_tau) = MAX((*u_tau), (u / uplus));
iters = 0;
keep_going = REF_TRUE;
while (keep_going) {
uplus = u / (*u_tau);
duplus_du_tau = -u / ((*u_tau) * (*u_tau));
yplus = y * (*u_tau) / nu_mach_re;
dyplus_du_tau = y / nu_mach_re;
RSS(ref_phys_spalding_uplus(yplus, &uplus_error), "uplus");
uplus_error -= uplus;
RSS(ref_phys_spalding_dyplus_duplus(uplus, &dyplus_duplus),
"dyplus_duplus");
uplus_error_du_tau = dyplus_du_tau / dyplus_duplus - duplus_du_tau;
du_tau = -uplus_error / uplus_error_du_tau;
if (verbose)
printf("u_tau %f yplus %f uplus %f error %e y %e\n", *u_tau, yplus, uplus,
uplus_error, y);
(*u_tau) += du_tau;
if (ref_math_divisible(uplus_error, uplus) && ABS(uplus) > 1.0e-3) {
keep_going = (ABS(uplus_error / uplus) > 1.0e-12);
} else {
keep_going = (ABS(uplus_error) > 1.0e-15);
}
iters++;
RAB(iters < 100, "iteration count exceeded", {
printf(" y %e u %e yplus %e uplus %e error %e u_tau %e\n", y, u, yplus,
uplus, uplus_error, *u_tau);
});
}
return REF_SUCCESS;
}
REF_STATUS ref_phys_yplus_lengthscale(REF_GRID ref_grid, REF_DBL mach,
REF_DBL re, REF_DBL reference_t_k,
REF_INT ldim, REF_DBL *field,
REF_DBL *lengthscale) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_INT *hits;
REF_INT node;
each_ref_node_valid_node(ref_node, node) { lengthscale[node] = 0.0; }
ref_malloc_init(hits, ref_node_max(ref_node), REF_INT, 0);
if (ref_grid_twod(ref_grid)) {
REF_CELL edg_cell = ref_grid_edg(ref_grid);
REF_CELL tri_cell = ref_grid_tri(ref_grid);
REF_INT edg, tri;
REF_INT edg_nodes[REF_CELL_MAX_SIZE_PER];
REF_INT tri_nodes[REF_CELL_MAX_SIZE_PER];
REF_INT ntri, tri_list[2];
REF_INT off_node, on_node;
REF_DBL dn, du, u0, u1, dxyz[3], edg_norm[3], tangent[3];
REF_DBL rho, t, yplus_dist;
REF_DBL gamma = 1.4, press;
each_ref_cell_valid_cell_with_nodes(edg_cell, edg, edg_nodes) {
RSS(ref_layer_interior_seg_normal(ref_grid, edg, edg_norm), "edge norm");
RSS(ref_cell_list_with2(ref_grid_tri(ref_grid), edg_nodes[0],
edg_nodes[1], 2, &ntri, tri_list),
"tri with2");
REIS(1, ntri, "edg expects one tri");
tri = tri_list[0];
RSS(ref_cell_nodes(tri_cell, tri, tri_nodes), "tri nodes");
on_node = edg_nodes[0];
off_node = tri_nodes[0] + tri_nodes[1] + tri_nodes[2] - edg_nodes[0] -
edg_nodes[1];
tangent[0] = ref_node_xyz(ref_node, 0, edg_nodes[1]) -
ref_node_xyz(ref_node, 0, edg_nodes[0]);
tangent[1] = ref_node_xyz(ref_node, 1, edg_nodes[1]) -
ref_node_xyz(ref_node, 1, edg_nodes[0]);
tangent[2] = ref_node_xyz(ref_node, 2, edg_nodes[1]) -
ref_node_xyz(ref_node, 2, edg_nodes[0]);
RSS(ref_math_normalize(tangent), "normalize tangent");
u0 = ref_math_dot(&(field[1 + ldim * on_node]), tangent);
u1 = ref_math_dot(&(field[1 + ldim * off_node]), tangent);
u0 = 0.0; /* assume no-slip bc */
dxyz[0] = ref_node_xyz(ref_node, 0, off_node) -
ref_node_xyz(ref_node, 0, on_node);
dxyz[1] = ref_node_xyz(ref_node, 1, off_node) -
ref_node_xyz(ref_node, 1, on_node);
dxyz[2] = ref_node_xyz(ref_node, 2, off_node) -
ref_node_xyz(ref_node, 2, on_node);
du = ABS(u0 - u1);
dn = ABS(ref_math_dot(dxyz, edg_norm));
rho = field[0 + ldim * on_node];
press = field[4 + ldim * on_node];
t = gamma * (press / rho);
RSS(ref_phys_yplus_dist(mach, re, reference_t_k, rho, t, dn, du,
&yplus_dist),
"yplus dist");
lengthscale[edg_nodes[0]] += yplus_dist;
hits[edg_nodes[0]] += 1;
lengthscale[edg_nodes[1]] += yplus_dist;
hits[edg_nodes[1]] += 1;
}
} else {
RSS(REF_IMPLEMENT, "implement 3D");
}
each_ref_node_valid_node(ref_node, node) {
if (hits[node] > 0) {
lengthscale[node] /= (REF_DBL)hits[node];
}
}
ref_free(hits);
RSS(ref_node_ghost_dbl(ref_node, lengthscale, 1), "ghost lengthscale");
return REF_SUCCESS;
}
REF_STATUS ref_phys_normal_spacing(REF_GRID ref_grid, REF_DBL *normalspacing) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_INT *hits;
REF_INT node;
each_ref_node_valid_node(ref_node, node) { normalspacing[node] = 0.0; }
ref_malloc_init(hits, ref_node_max(ref_node), REF_INT, 0);
if (ref_grid_twod(ref_grid)) {
REF_CELL edg_cell = ref_grid_edg(ref_grid);
REF_CELL tri_cell = ref_grid_tri(ref_grid);
REF_INT edg, tri;
REF_INT edg_nodes[REF_CELL_MAX_SIZE_PER];
REF_INT tri_nodes[REF_CELL_MAX_SIZE_PER];
REF_INT ntri, tri_list[2];
REF_INT off_node, on_node;
REF_DBL dn, dxyz[3], edg_norm[3];
each_ref_cell_valid_cell_with_nodes(edg_cell, edg, edg_nodes) {
RSS(ref_layer_interior_seg_normal(ref_grid, edg, edg_norm), "edge norm");
RSS(ref_cell_list_with2(ref_grid_tri(ref_grid), edg_nodes[0],
edg_nodes[1], 2, &ntri, tri_list),
"tri with2");
REIS(1, ntri, "edg expects one tri");
tri = tri_list[0];
RSS(ref_cell_nodes(tri_cell, tri, tri_nodes), "tri nodes");
on_node = edg_nodes[0];
off_node = tri_nodes[0] + tri_nodes[1] + tri_nodes[2] - edg_nodes[0] -
edg_nodes[1];
dxyz[0] = ref_node_xyz(ref_node, 0, off_node) -
ref_node_xyz(ref_node, 0, on_node);
dxyz[1] = ref_node_xyz(ref_node, 1, off_node) -
ref_node_xyz(ref_node, 1, on_node);
dxyz[2] = ref_node_xyz(ref_node, 2, off_node) -
ref_node_xyz(ref_node, 2, on_node);
dn = ref_math_dot(dxyz, edg_norm);
normalspacing[edg_nodes[0]] += dn;
hits[edg_nodes[0]] += 1;
normalspacing[edg_nodes[1]] += dn;
hits[edg_nodes[1]] += 1;
}
} else {
RSS(REF_IMPLEMENT, "implement 3D");
}
each_ref_node_valid_node(ref_node, node) {
if (hits[node] > 0) {
normalspacing[node] /= (REF_DBL)hits[node];
}
}
ref_free(hits);
RSS(ref_node_ghost_dbl(ref_node, normalspacing, 1), "ghost normalspacing");
return REF_SUCCESS;
}
REF_STATUS ref_phys_yplus_metric(REF_GRID ref_grid, REF_DBL *metric,
REF_DBL mach, REF_DBL re, REF_DBL temperature,
REF_DBL target, REF_INT ldim, REF_DBL *field,
REF_DICT ref_dict_bcs) {
REF_NODE ref_node = ref_grid_node(ref_grid);
REF_DBL *lengthscale, *new_log_metric;
REF_INT *hits;
REF_INT node, i;
ref_malloc_init(hits, ref_node_max(ref_node), REF_INT, 0);
ref_malloc_init(new_log_metric, 6 * ref_node_max(ref_node), REF_DBL, 0.0);
ref_malloc_init(lengthscale, ref_node_max(ref_node), REF_DBL, 0.0);
RSS(ref_phys_yplus_lengthscale(ref_grid, mach, re, temperature, ldim, field,
lengthscale),
"length scale");
if (ref_grid_twod(ref_grid)) {
REF_CELL edg_cell = ref_grid_edg(ref_grid);
REF_INT bc;
REF_INT edg, edg_nodes[REF_CELL_MAX_SIZE_PER];
REF_DBL edg_norm[3], h0, h1, ratio;
REF_DBL d[12], m[6], logm[6];
each_ref_cell_valid_cell_with_nodes(edg_cell, edg, edg_nodes) {
bc = REF_EMPTY;
RXS(ref_dict_value(ref_dict_bcs, edg_nodes[ref_cell_id_index(edg_cell)],
&bc),
REF_NOT_FOUND, "bc");
if (!ref_phys_wall_distance_bc(bc)) continue;
RSS(ref_layer_interior_seg_normal(ref_grid, edg, edg_norm), "edge norm");
ref_matrix_vec(d, 0, 0) = edg_norm[0];
ref_matrix_vec(d, 1, 0) = edg_norm[1];
ref_matrix_vec(d, 2, 0) = edg_norm[2];
h0 = target * 0.5 *
(lengthscale[edg_nodes[0]] + lengthscale[edg_nodes[1]]);
ref_matrix_eig(d, 0) = 1.0 / (h0 * h0);
ref_matrix_vec(d, 0, 2) = 0.0;
ref_matrix_vec(d, 1, 2) = 0.0;
ref_matrix_vec(d, 2, 2) = 1.0;
ref_matrix_eig(d, 2) = 1.0;
ref_math_cross_product(ref_matrix_vec_ptr(d, 2), ref_matrix_vec_ptr(d, 0),
ref_matrix_vec_ptr(d, 1));
ratio = 0.5 * (ref_matrix_sqrt_vt_m_v(&(metric[6 * edg_nodes[0]]),
ref_matrix_vec_ptr(d, 1)) +
ref_matrix_sqrt_vt_m_v(&(metric[6 * edg_nodes[1]]),
ref_matrix_vec_ptr(d, 1)));
h1 = 1.0 / ratio;
ref_matrix_eig(d, 1) = 1.0 / (h1 * h1);
RSS(ref_matrix_form_m(d, m), "form");
RSS(ref_matrix_log_m(m, logm), "form");
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * edg_nodes[0]] += logm[i];
}
hits[edg_nodes[0]] += 1;
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * edg_nodes[1]] += logm[i];
}
hits[edg_nodes[1]] += 1;
}
} else {
RSS(REF_IMPLEMENT, "implement 3D");
}
RSS(ref_node_ghost_dbl(ref_node, new_log_metric, 6), "ghost metric");
RSS(ref_node_ghost_int(ref_node, hits, 1), "ghost hits");
each_ref_node_valid_node(ref_node, node) {
if (hits[node] > 0) {
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * node] /= (REF_DBL)hits[node];
}
hits[node] = -1;
RSS(ref_matrix_exp_m(&(new_log_metric[6 * node]), &(metric[6 * node])),
"form");
}
}
{
REF_EDGE ref_edge;
REF_INT edge, node0, node1;
RSS(ref_edge_create(&ref_edge, ref_grid), "orig edges");
for (edge = 0; edge < ref_edge_n(ref_edge); edge++) {
node0 = ref_edge_e2n(ref_edge, 0, edge);
node1 = ref_edge_e2n(ref_edge, 1, edge);
if (0 <= hits[node0] && -1 == hits[node1]) {
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * node0] += new_log_metric[i + 6 * node1];
}
hits[node0] += 1;
}
if (0 <= hits[node1] && -1 == hits[node0]) {
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * node1] += new_log_metric[i + 6 * node0];
}
hits[node1] += 1;
}
}
ref_edge_free(ref_edge);
}
RSS(ref_node_ghost_dbl(ref_node, new_log_metric, 6), "ghost metric");
RSS(ref_node_ghost_int(ref_node, hits, 1), "ghost hits");
each_ref_node_valid_node(ref_node, node) {
if (hits[node] > 0) {
for (i = 0; i < 6; i++) {
new_log_metric[i + 6 * node] /= (REF_DBL)hits[node];
}
hits[node] = -2;
RSS(ref_matrix_exp_m(&(new_log_metric[6 * node]), &(metric[6 * node])),
"form");
}
}
RSS(ref_node_ghost_dbl(ref_node, metric, 6), "ghost metric");
ref_free(lengthscale);
ref_free(new_log_metric);
ref_free(hits);
return REF_SUCCESS;
}
REF_STATUS ref_phys_strong_sensor_bc(REF_GRID ref_grid, REF_DBL *scalar,
REF_DBL strong_value,
REF_DICT ref_dict_bcs) {