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init.cpp
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init.cpp
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//-------------------------------------------------------------------------------------------------
// Function in class Initialization
//-------------------------------------------------------------------------------------------------
#include <cstdio>
#include <iostream>
#include <cstdlib>
#include <fstream>
#include <string.h>
#include <cmath>
#include "glbcls.h"
#include "glbfunc.h"
using namespace std;
//-------------------------------------------------------------------------------------------------
// Initialize
//-------------------------------------------------------------------------------------------------
Initialization::Initialization()
{
char Key_word[100];
ifstream fin("input.dat"); //read input file
while(!fin.eof()) {
fin>>Key_word;
//choose the case number
if(!strcmp(Key_word, "*case_numbers")){
fin>>case_number>>problem_number;
}
//resolution in x direction
if(!strcmp(Key_word, "*resolution_in_x_direction")){
fin>>l;
}
//restart file input parameters: 1 read restart file, 0 not
if(!strcmp(Key_word, "*restart_file")){
fin>>restart_file;
}
}
fin.close();
//set defaults
length = 1.0;
lc = 1.0; //characteristic length
start_time = 0.0;
//cases
if(case_number == 1) {
length = 1.0;
if(problem_number == 3) {
length = 10.0;
lc = 10.0;
}
if(problem_number == 7) length = 9.0;
if(problem_number == 9) length = 4.0 + 0.005;
ld = 0; lw = 0;
dydx = 1.0; dzdx = 1.0;
cout<<"\n 1D case with inviscid single fluid of ideal gas. \n";
}
//cases
if(case_number == 21) {
length = 1.0;
if(problem_number == 1 || problem_number == 8) length = 10.0;
if(problem_number == 5) length = 30.0;
if(problem_number == 6) length = 1.1;
ld = 1; lw = 0;
dydx = 1.0; dzdx = 1.0;
cout<<"\nTwo-diemnsional cases 1 \n";
}
//cases
if(case_number == 22) {
length = 1.0;
if(problem_number == 1) length = 4.0;
ld = 4; lw = 0;
dydx = 1.0; dzdx = 1.0;
cout<<"\nTwo-diemnsional cases 2 \n";
}
//cases
if(case_number == 23) {
length = 1.0;
if(problem_number == 1) length = 4.0;
ld = 2; lw = 0;
dydx = 1.0; dzdx = 1.0;
cout<<"\nTwo-diemnsional cases 3 \n";
}
//cases for testing 2d code
if(case_number == 24) {
length = 1.0;
if(problem_number == 1) length = 10.0;
ld = 0; lw = 1;
dydx = 1.0; dzdx = 1.0;
cout<<"\nTwo-diemnsional cases 1 \n";
}
//cases
if(case_number == 30) {
ld = 1; lw = 1;
length = 2.0*pi;
dydx = 1.0; dzdx = 1.0;
cout<<"\nThree-diemnsional cube with domain size 2*Pi 1 \n";
}
//redefine the starting time if restarting form a restart file
if(restart_file == 1) {
ifstream fin("singlefluid.rst");
while(!fin.eof()) {
fin>>Key_word;
if(!strcmp(Key_word, "*re_init_time")){
fin>>start_time;
break;
}
}
fin.close();
}
//domain size
d = ld == 0 ? 1 : l/ld;
width = lw == 0 ? 1 : l/lw;
cout<<"Domain size in x-direction, length= "<<length<<" \n";
cout<<"Number spatial steps in x, y and z directions, l= "<<l<<", d = "<<d<<", width = "<<width<<" \n";
//step-size
dx = length/double(l);
dy = dx*dydx;
dz = dx*dzdx;
//adjust l,d for matrix index
l=l-1; d=d-1, width = width-1;
}
void Initialization::InitialCondition(BaseFluid *ActiveFluid, double rho[Xmax][Ymax][Zmax], double p[Xmax][Ymax][Zmax],
double u[Xmax][Ymax][Zmax], double v[Xmax][Ymax][Zmax], double w[Xmax][Ymax][Zmax])
{
//cases
if(case_number == 1) {
//problem 0
//shock tube problem
if(problem_number == 0) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 1.0; p[i][j][k] = 1.0;
u[i][j][k] = 1.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(i >= int((l+1)*0.4)+4 && i <= int((l+1)*0.6)+4) {
rho[i][j][k] = 10.0; p[i][j][k] = 1.0;
}
}
end_time = 0.2;
output_period = 0.2;
}
//problem 1
//shock tube problem
if(problem_number == 1) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 0.125; p[i][j][k] = 0.1;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(i <= int((l+1)*0.5)+4) {
rho[i][j][k] = 1.0; p[i][j][k] = 1.0;
}
}
ActiveFluid->cfl = 0.5;
end_time = 0.2;
output_period = 0.2;
}
//problem 2
//Lax problem
if(problem_number == 2) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 0.5; p[i][j][k] = 0.571;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_0) {
rho[i][j][k] = 0.445; p[i][j][k] = 3.528;
u[i][j][k] = 0.698;
}
}
end_time = 0.14;
output_period = 0.14;
}
//problem 3
//shu-osher problem
if(problem_number == 3) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.1*length;
double x_1 = 0.5*length;
double wave_number = 50.0 / length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0 + 0.2*sin(wave_number*(x - x_1)); p[i][j][k] = 1.0;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_0) {
rho[i][j][k] = 3.857143; p[i][j][k] = 10.333333;
u[i][j][k] = 2.629369;
}
}
end_time = 1.8;
output_period = 1.8;
}
//problem 4
//two blast wave problem
if(problem_number == 4) {
ActiveFluid->xBl = 0; ActiveFluid->xBr = 0;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.1*length;
double x_1 = 0.9*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 0.01;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_0) p[i][j][k] = 1000.0;
if(x > x_1) p[i][j][k] = 100.0;
}
// ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
end_time = 0.038;
output_period = 0.038;
}
//problem 5
//1-2-3 problem
if(problem_number == 5) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 0.4;
u[i][j][k] = 2.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_0) u[i][j][k] = -2.0;
}
// ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
ActiveFluid->cfl = 0.45;
end_time = 0.1;
output_period = 0.1;
}
//problem 6
//shock wave reflection problem
if(problem_number == 6) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 0;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.1*length;
double x_1 = 0.5*length;
double wave_number = 50.0 / length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 1.0;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_1) {
rho[i][j][k] = 3.857143; p[i][j][k] = 10.333333;
u[i][j][k] = 2.629369;
}
}
end_time = 1.0;
output_period = 0.2;
}
//problem 7
//LeBlanc shock tube problem
if(problem_number == 7) {
//different specific heat ratio
ActiveFluid->Gamma = 5.0/3.0;
ActiveFluid->xBl = 0; ActiveFluid->xBr = 0;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = length/3.0;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 1.0e-1*2.0/3.0;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x > x_0) {
rho[i][j][k] = 1.0e-3; p[i][j][k] = 1.0e-10*2.0/3.0;
}
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
end_time = 6.0;
output_period = 6.0;
}
//problem 8
//1-2-3 problem with vacuum
if(problem_number == 8) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 0.1;
u[i][j][k] = 2.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x < x_0) u[i][j][k] = -2.0;
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
ActiveFluid->cfl = 0.5;
end_time = 0.1;
output_period = 0.1;
}
//problem 9
//Sedov problem with 801 grid points
if(problem_number == 9) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 4.0e-13;
u[i][j][k] = 0.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x > x_0 - 0.6*dx && x < x_0 + 0.6*dx) p[i][j][k] = 2.56e8;
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
ActiveFluid->cfl = 0.5;
end_time = 1.0e-3;
output_period = 1.0e-4;
}
//problem 10
if(problem_number == 10) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
rho[i][j][k] = 1.0; p[i][j][k] = 10.0;
u[i][j][k] = 100.0; v[i][j][k] = 0.0; w[i][j][k] = 0.0;
if(x > x_0) {
rho[i][j][k] = 0.1; p[i][j][k] = 1.0;
u[i][j][k] = -100.0;
}
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
ActiveFluid->cfl = 0.5;
end_time = 0.004;
output_period = 0.004;
}
//problem 12:broadband sound waves on 128 grid ponits
if(problem_number == 12) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
//spectrum
int hlf_l = 64;
double *phase; //random phase shift
phase = new double[hlf_l];
//creat random noise
ntab = 32;
iv = new long int[ntab];
Ranils();
for(int m=0; m<hlf_l; m++) phase[m] = Ranuls();
double p0 = 1.0, rho0 = 1.4, c0 = 1.0, u0 = 0.0, epsilon = 1.0e-3, k0 = 12.0;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double preturb = 0.0;
for(int m=0; m<hlf_l; m++) {
double mp1 = double(m+1);
preturb += sqrt(exp(-2.0*mp1*mp1/k0/k0)*mp1*mp1*mp1*mp1/k0/k0/k0/k0)*sin(2.0*pi*mp1*(x + phase[m]));
}
p[i][j][k] = p0*(1.0 + epsilon*preturb);
rho[i][j][k] = rho0*pow(p[i][j][k]/p0, 1.0/1.4);
u[i][j][k] = u0 + 5.0*sqrt(1.4*p[i][j][k]/rho[i][j][k])/c0;
v[i][j][k] = 0.0; w[i][j][k] = 0.0;
}
ActiveFluid->cfl = 0.2;
end_time = 1.0/6.0;
output_period = 1.0/6.0;
}
//problem 13:shock-interface interaction
if(problem_number == 13) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 2;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 0.15;
double x_0 = 0.25;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double phi = x-x_0;
double vlm = Heaviside(phi, 0.025);
rho[i][j][k] = 1.0*vlm + 1.0;
p[i][j][k] = 1.0;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
//shock
if(x < x_1) {
rho[i][j][k] = 5.268;
p[i][j][k] = 41.83;
u[i][j][k] = 5.752;
}
}
end_time = 0.15;
output_period = 0.03;
}
}
//cases
if(case_number == 21) {
//problem 1
//vortex translate problem
if(problem_number == 1) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double beta = 5.0;
double beta2 = beta*beta;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double _x = (x - 5.0);
double _y = (y - 5.0);
double r2 = (_x*_x + _y*_y);
double inter1 = beta2*exp(1.0 - r2)/28.0/pi/pi;
double inter2 = 0.5*beta*exp(0.5*(1.0 - r2))/pi;
rho[i][j][k] = pow(1.0 - inter1, 2.5);
p[i][j][k] = pow(rho[i][j][k], 1.4);
u[i][j][k] = 1.0 - inter2*_y;
v[i][j][k] = 1.0 + inter2*_x;
w[i][j][k] = 0.0;
}
end_time = 10.0;
output_period = 10.0;
}
//problem 2
//inviscid double shear layer
if(problem_number == 2) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
rho[i][j][k] = 0.033333333;
p[i][j][k] = 1.0e2*rho[i][j][k]/1.4;
u[i][j][k] = tanh((y - 0.25)/rho[i][j][k]);
if(y > 0.5) u[i][j][k] = tanh((0.75 - y)/rho[i][j][k]);
v[i][j][k] = 0.05*sin(2.0*pi*x);
w[i][j][k] = 0.0;
}
end_time = 1.8;
output_period = 0.4;
}
//problem 3
//inviscid Kelvin-Helmholtz instability
if(problem_number == 3) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double num_k = 2.0*pi;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
rho[i][j][k] = 1.0;
p[i][j][k] = 1.0e2*rho[i][j][k]/1.4;
u[i][j][k] = 0.5 + 0.1*cos(num_k*(x - 0.5))*exp(-num_k*fabs(y - 0.5));
v[i][j][k] = - 0.1*sin(num_k*(x - 0.5))*exp(-num_k*fabs(y - 0.5));
if(y < 0.5) u[i][j][k] = - 0.5 - 0.1*cos(num_k*(x - 0.5))*exp(-num_k*fabs(y - 0.5));
w[i][j][k] = 0.0;
}
end_time = 5.0;
output_period = 1.0;
}
//problem 4
//2D Taylor-Green flow
if(problem_number == 4) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
rho[i][j][k] = 1.0;
u[i][j][k] = - cos(2.0*pi*x)*sin(2.0*pi*y);
v[i][j][k] = sin(2.0*pi*x)*cos(2.0*pi*y);
w[i][j][k] = 0.0;
p[i][j][k] = 1.0e2/1.4;
}
ActiveFluid->mu1 = 0.01; //Reynolds number 100
ActiveFluid->CurrentViscousHeat_dt = &SingleFluid::ViscousHeat_dt_1;
ActiveFluid->CurrentPhysicalDissipation = &SingleFluid::PhysicalDissipation_1;
end_time = 10.0;
output_period = 5.0;
}
//problem 5
//shock-vortex interaction problem
if(problem_number == 5) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 3; ActiveFluid->yBd = 3;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double beta = 5.0;
double beta2 = beta*beta;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double _x = (x - 15.0);
double _y = (y - 15.0);
double r2 = (_x*_x + _y*_y);
double Mv = 0.39;
double rv = 1.0;
double inter1 = Mv*exp(0.5*(1.0 - r2/rv/rv))/rv;
double inter2 = 1.0 - 0.2*Mv*Mv*exp(1.0 - r2/rv/rv);
rho[i][j][k] = pow(inter2, 2.5);
u[i][j][k] = -inter1*_y;
v[i][j][k] = inter1*_x;
p[i][j][k] = pow(rho[i][j][k], 1.4)/1.4;
w[i][j][k] = 0.0;
double x_s = 5.0;
if(x <= x_s) {
rho[i][j][k] = 1.49826683;
u[i][j][k] = 0.429;
v[i][j][k] = 0.0;
p[i][j][k] = 1.77478333/1.4;
}
}
end_time = 16.2;
output_period = 4.0/1.29;
}
//problem 6
//2d Sedov problem
if(problem_number == 6) {
ActiveFluid->xBl = 0; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 3; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
rho[i][j][k] = 1.0;
p[i][j][k] = 4.0e-13;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
if(i==4 && j==4) p[i][j][k] = 0.4*0.244816e6/dx/dy;
}
ActiveFluid->cfl = 0.5;
end_time = 1.0e-3;
output_period = 1.0e-4;
}
//problem 7
//shock diffraction problem
if(problem_number == 7) {
ActiveFluid->xBl = 217; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 3; ActiveFluid->yBd = 3;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double y_0 = 0.5;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
rho[i][j][k] = 1.0;
p[i][j][k] = 1.0;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
if(y > y_0 && i <= 4) {
rho[i][j][k] = 5.268;
p[i][j][k] = 41.83;
u[i][j][k] = 5.752;
}
}
ActiveFluid->cfl = 0.4;
end_time = 1.0e-1;
output_period = 2.0e-2;
}
//problem 8
//strong vortex translate problem
if(problem_number == 8) {
ActiveFluid->xBl = 1; ActiveFluid->xBr = 1;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double beta = 10.0828;
double beta2 = beta*beta;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double _x = (x - 5.0);
double _y = (y - 5.0);
double r2 = (_x*_x + _y*_y);
double inter1 = beta2*exp(1.0 - r2)/28.0/pi/pi;
double inter2 = 0.5*beta*exp(0.5*(1.0 - r2))/pi;
rho[i][j][k] = pow(1.0 - inter1, 2.5);
p[i][j][k] = pow(rho[i][j][k], 1.4);
u[i][j][k] = 1.0 - inter2*_y;
v[i][j][k] = 1.0 + inter2*_x;
w[i][j][k] = 0.0;
}
ActiveFluid->cfl = pow(dx, 5.0/3.0);
end_time = 1.0e-2;
output_period = 1.0e-2;
}
//problem 9
//2d Riemann problem #5
if(problem_number == 9) {
ActiveFluid->xBl = 3; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 3; ActiveFluid->yBd = 3;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double x_c = 0.5;
double y_c = 0.5;
rho[i][j][k] = 2.0;
p[i][j][k] = 1.0;
u[i][j][k] = -0.75;
v[i][j][k] = 0.5;
if(x > x_c) {
rho[i][j][k] = 1.0;
v[i][j][k] = -0.5;
}
if(y < y_c) {
rho[i][j][k] = 3.0;
u[i][j][k] = 0.75;
if(x < x_c) {
rho[i][j][k] = 1.0;
u[i][j][k] = 0.75;
}
}
w[i][j][k] = 0.0;
}
end_time = 0.23;
output_period = 0.046;
}
}
//cases
if(case_number == 22) {
//problem 1
//double Mach reflection
if(problem_number == 1) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 221; ActiveFluid->yBd = 221;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 1.0/6.0;
double phi = pi/3.0;
double slope = tan(phi);
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 1.4;
p[i][j][k] = 1.0;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
if(y > slope*(x - x_1)) {
rho[i][j][k] = 8;
p[i][j][k] = 140.2/1.2;
u[i][j][k] = 8.25*sin(phi);
v[i][j][k] = - 8.25*cos(phi);
}
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
end_time = 0.2;
output_period = 0.05;
}
//problem 2
//Mach 2000 jet
if(problem_number == 2) {
//different specific heat ratio
ActiveFluid->Gamma = 5.0/3.0;
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 3; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double y_0 = 0.05*length;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 0.5;
p[i][j][k] = 0.4127;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double y = (j-4)*dy + 0.5*dy;
//in flow
if(y <= y_0 && i <= 4) {
rho[i][j][k] = 5.0;
u[i][j][k] = 800.0;
}
}
ActiveFluid->cfl = 0.25;
end_time = 1.0e-3;
output_period = 1.0e-4;
}
}
//cases
if(case_number == 23) {
//problem 1
//2d shu-osher problem
if(problem_number == 1) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 0.5;
double phi = pi/6.0;
double wnum = 2.0*pi;
double cs1 = sqrt(1.4);
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 5.565;
p[i][j][k] = 74.5;
u[i][j][k] = 7.765;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
if(x >= x_1) {
rho[i][j][k] = 1.0;
p[i][j][k] = 1.0;
u[i][j][k] = - cs1*sin(phi)*cos((x - 1.5)*wnum*cos(phi)
+ (y - 1.0)*wnum*sin(phi));
v[i][j][k] = cs1*cos(phi)*cos((x - 1.5)*wnum*cos(phi)
+ (y - 1.0)*wnum*sin(phi));
}
}
end_time = 0.2;
output_period = 0.2;
}
//problem 2
//2d shock instabilty problem
//grid number in x direction 50
if(problem_number == 2) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 232;
ActiveFluid->yBu = 1; ActiveFluid->yBd = 1;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 6.0/25.0;
double x_s = 0.5;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 1.0;
p[i][j][k] = 1.0;
u[i][j][k] = 7.101264;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
if(x >= x_1) {
rho[i][j][k] = 5.268;
p[i][j][k] = 41.83;
u[i][j][k] = 1.348;
if(x < x_1 + 1.5*dx) {
rho[i][j][k] = x_s + (1.0 - x_s)*5.628;
u[i][j][k] = 7.101264/rho[i][j][k];
p[i][j][k] = (x_s*(3.5 + 0.5*7.101264*7.101264)
+ (1.0 - x_s)*(3.5*41.83 + 0.5*5.268*1.348*1.348)
- 0.5*rho[i][j][k]*u[i][j][k]*u[i][j][k])*0.4;
}
}
}
ActiveFluid->cfl = 0.5;
end_time = 20.0;
output_period = 0.5;
}
//problem 3
//2d shock drop interaction
if(problem_number == 3) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 0.05;
double x_0 = 0.25;
double r_0 = 0.15;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
double phi = sqrt((x-x_0)*(x-x_0) + y*y) - r_0;
double vlm = Heaviside(phi, 0.025);
rho[i][j][k] = vlm + (1.0 - vlm)*10.0;
p[i][j][k] = 1.0;
u[i][j][k] = -1.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
//shock
if(x < x_1) {
rho[i][j][k] = 5.268;
p[i][j][k] = 41.83;
u[i][j][k] = 4.752;
}
}
end_time = 0.15;
output_period = 0.03;
}
//problem 4
//2d shock bubble interaction
if(problem_number == 4) {
ActiveFluid->xBl = 2; ActiveFluid->xBr = 3;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 0;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_1 = 0.05;
double x_0 = 0.25;
double r_0 = 0.15;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 1.0;
p[i][j][k] = 1.0;
u[i][j][k] = -3.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
//shock
if(x < x_1) {
rho[i][j][k] = 5.268;
p[i][j][k] = 41.83;
u[i][j][k] = 2.752;
}
//bubble
if(sqrt((x-x_0)*(x-x_0) + y*y) < r_0) {
rho[i][j][k] = 0.138;
}
}
ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
end_time = 0.15;
output_period = 0.03;
}
//problem 5
//2d viscous shock tube
if(problem_number == 5) {
ActiveFluid->xBl = 4; ActiveFluid->xBr = 4;
ActiveFluid->yBu = 0; ActiveFluid->yBd = 4;
ActiveFluid->zBn = 0; ActiveFluid->zBf = 0;
//give intial value for the states
double x_0 = 0.5;
for(int i=0; i<=l+8; i++)
for(int j=0; j<=d+8; j++)
for(int k=0; k<=width+8; k++){
rho[i][j][k] = 1.2;
p[i][j][k] = 1.2/ActiveFluid->Gamma;
u[i][j][k] = 0.0;
v[i][j][k] = 0.0;
w[i][j][k] = 0.0;
double x = (i-4)*dx + 0.5*dx;
double y = (j-4)*dy + 0.5*dy;
//shock
if(x < x_0) {
rho[i][j][k] = 120.0;
p[i][j][k] = 120.0/ActiveFluid->Gamma;
u[i][j][k] = 0.0;
}
}
ActiveFluid->mu1 = 0.005; //viscosity
ActiveFluid->mu2 = -0.005*2.0/3.0; //2D Stokes fluid
ActiveFluid->Pr = 0.73; //Prandtl number
ActiveFluid->rho_alpha = ActiveFluid->mu1*ActiveFluid->Gamma/ActiveFluid->Pr;
ActiveFluid->CurrentViscousHeat_dt = &SingleFluid::ViscousHeat_dt_1;
ActiveFluid->CurrentPhysicalDissipation = &SingleFluid::PhysicalDissipation_1;
// ActiveFluid->CurrentPositivityPreserving = &BaseFluid::PositivityPreserving_1;
end_time = 1.0;