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#include <iostream> //1
#include <cmath> //2
#include <fstream> //3
//4
const long N = 50; //radius r, j napravlenie 5
const long Nx = 201; // z = 100 m, i napravlenie 6
void dThomas(long n, double a[], double b[], double c[], double d[], double x[]); //7
int main()//8
{ //9
double a[N], b[N], c[N], d[N], r[N], z[Nx], T[N], Tb_int[N], Tb_int2[N], T_b[Nx], old_T[N], Nu[Nx], //10
Eh[N], A[N], dr[N], drr[N], dz[Nx], dzz[Nx], k_f, mu_f, //11
cp_f, R, U, rho_f, alpha_f, Re, Pe, Pr, Prt, T_0, T_w, Vz[N], Vplus[N], Yplus[N], B[N], E[N]; //12
int j, i; //13
//double sum; //14
//double sum2; //15
//double sum3; //15
//double test; //16
std::ofstream out1; //17
out1.precision(16); //18
//19
A[N] = Eh[N] + 0.325; //20
k_f = 0.13; //21
mu_f = 0.01;
cp_f = 2000.0;
R = 0.05;
U = 1.0;
rho_f = 800.0;
alpha_f = 0.325;
Re = 8000.0;
Pr = mu_f*cp_f / k_f;
Prt = 0.85 + 0.015 / Pr;
Pe = Re*Pr;
T_0 = 50.0;
T_w = 5.0; //32
Nu[0] = 0;
for (j = 0; j <= N - 1; j++)
{
dr[0] = 0.1;
dr[j] = 1.1*dr[j - 1];
r[j] = R / 1163.9085287969600*dr[j]; // eto chislo summa
drr[j] = r[j] - r[j-1]; //40
Yplus[j] = (1 - r[j] / R)*(Re / 2) * pow(0.0042272297408, 0.5); // chislo f iz Newton
if ((Yplus[j]) <= 5.0)
{
Vplus[j] = Yplus[j]; //45
}
else if (0.5 < Yplus[j] <= 30.0)
{
Vplus[j] = 5.0*log(Yplus[j]) - 3.05;
}
else (Yplus[j] > 30.0); //51
{
Vplus[j] = 2.5*log(Yplus[j] + 5.5);
}
Vz[j] = Vplus[j] * 0.06501714959; // V* znachenie zavisit ot Newton 55
old_T[j] = T_0;
Eh[j] = alpha_f*Pr / Prt*B[j];
B[j] = E[j] / 0.0000125; // 0.0000125 - kinematic viscosity, m/p B[j] - new const; E-eddy diffusivity
if (((Yplus[j]) <= 80.0) && ((Yplus[j]) <= 5.0)) //61
{
B[j] = pow((0.4*Yplus[j]), 2)*(1 - 2.7183*pow((-Yplus[j] / 26), 2) * 1.0); //63
}
if (((Yplus[j]) <= 80.0) && ((0.5 < Yplus[j] <= 30.0)))
{
B[j] = pow((0.4*Yplus[j]), 2)*(1 - 2.7183*pow((-Yplus[j] / 26), 2) * 5.0 / Yplus[j]);
}
if (((Yplus[j]) <= 80.0) && (Yplus[j] > 30.0))
{
B[j] = pow((0.4*Yplus[j]), 2)*(1 - 2.7183*pow((-Yplus[j] / 26), 2) * 2.5 / Yplus[j]); //71
}
if ((Yplus[j]) > 80.0);
{
B[j] = 0.4*Yplus[j] / 6.0*(1 - r[j] / R)*((1 + 2 * pow((r[j] / R), 2))); //75
}
}
a[0] = 0.0; //79
a[N - 1] = 0.0;
b[0] = 1.0;
b[N - 1] = 1.0;
c[0] = -1.0;
c[N - 1] = 0.0;
d[0] = 0.0;
d[N - 1] = T_w;
out1.open("out1.txt");
out1 << " z\\r ";
for (j = 0; j <= N - 1; j++)
{
out1 << r[j] << " ";
}
out1 << "\n";
out1 << 0.0 << " ";
for (j = 0; j <= N - 1; j++)
{
out1 << old_T[j] << " ";
}
out1 << "\n";
for (i = 0; i <= Nx - 1; i++)
{
dz[0] = 0.001;
dz[i] = 0.1*dz[i - 1];
z[i] = 100 / 2088958.03106511000 * dz[i];
dzz[i] = dz[i] - dz[i-1];
out1 << dzz[i] * i << " ";
for (j = 1; j <= N - 2; j++)
{
a[j] = -1.0*((r[j] * A[j] + (r[j - 1] * A[j - 1])) / (r[j] * drr[j] * (drr[j + 1] + drr[j])));
b[j] = (Vz[j] / dzz[i]) + (1 / (r[j] * (drr[j + 1] + drr[j])))*((r[j + 1] * A[j] + r[j] * A[j]) / drr[j + 1] + ((drr[j] * A[j] + drr[j - 1] * A[j - 1]) / dr[j]));
c[j] = -1.0*((r[j] * A[j] + (r[j - 1] * A[j - 1])) / (r[j] * drr[j] * (drr[j + 1] + drr[j])));
d[j] = old_T[j] / dzz[i] * Vz[j];
}
dThomas(N, a, b, c, d, T);
for (j = 0; j <= N - 1; j++)
{
out1 << T[j] << " ";
}
}
}
void dThomas(long n, double a[], double b[], double c[], double d[], double x[])
{
long i;
c[0] = c[0] / b[0];
for (i = 1; i <= n - 1; i++)
{
c[i] = c[i] / (b[i] - a[i] * c[i - 1]);
}
d[0] = d[0] / b[0];
for (i = 1; i <= n - 1; i++)
{
d[i] = (d[i] - a[i] * d[i - 1]) / (b[i] - a[i] * c[i - 1]);
}
x[n - 1] = d[n - 1];
for (i = n - 2; i >= 0; i--)
{
x[i] = d[i] - c[i] * x[i + 1];
}
}.
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