gks2d-str/code/gks_basic.h

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#pragma once
#include"function.h"
extern double c1_euler;
extern double c2_euler;
extern bool is_Prandtl_fix;
extern double Pr;
//basic gks function
// to store the moment
class MMDF1d
{
private:
double u;
double lambda;
public:
double uwhole[10];
double uplus[10];
double uminus[10];
double upxi[10][4];
double unxi[10][4];
double uxi[10][4];
double xi2;
double xi4;
double xi6;
MMDF1d();
MMDF1d(double u_in, double lambda_in);
void calcualte_MMDF1d();
};
// to calculate the microsolpe moment
void G(int no_u, int no_xi, double* psi, double a[3], MMDF1d m);
void GL(int no_u, int no_xi, double* psi, double a[3], MMDF1d m);
void GR(int no_u, int no_xi, double* psi, double a[3], MMDF1d m);
//moments of the maxwellian distribution function
class MMDF
{
private:
double u;
double v;
double lambda;
public:
double uwhole[7];
double uplus[7];
double uminus[7];
double vwhole[7];
double upvxi[7][7][3];
double unvxi[7][7][3];
double uvxi[7][7][3];
double xi2;
double xi4;
MMDF();
MMDF(double u_in, double v_in, double lambda_in);
void calcualte_MMDF();
};
class MMDF1st
{
private:
double u;
double v;
double lambda;
public:
double uwhole[4];
double uplus[4];
double uminus[4];
double vwhole[3];
double xi2;
MMDF1st();
MMDF1st(double u_in, double v_in, double lambda_in);
void calcualte_MMDF1st();
};
void Collision(double *w0, double left, double right, MMDF &m2, MMDF &m3);
void Collision(double *w0, double left, double right, MMDF1st &m2, MMDF1st &m3);
void A(double *a, double der[4], double prim[4]);
double Get_Tau_NS(double density0, double lambda0); // solve the smooth tau
double TauNS_Sutherland(double density0, double lambda0); // solve the smooth tau by using sutherland
double TauNS_power_law(double density0, double lambda0); //solver the smooth tau by using power law
double Get_Tau(double density_left, double density_right, double density0, double lambda_left, double lambda_right, double lambda0, double dt); // solve not smooth numerical tau
double Lambda(double density, double u, double densityE);
double Lambda(double density, double u, double v, double densityE);
void Convar_to_ULambda_1d(double* primvar, double convar[3]);
//计算α,α=erfc±√λ*U
double Alpha(double lambda, double u);
//计算β,β=e^(-λ*U^2)/(√πλ)
double Beta(double lambda, double u);
//solution of matrix equation b=Ma
void Microslope(double *a, double der[3], double prim[3]); //in one dimensional
void Convar_to_ULambda_2d(double* primvar, double convar[4]);