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functions.cpp
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#include "functions.h"
using namespace std;
/* Euler stage U_sn calculation */
double euler_Usn(double P_sn, double S, double F, double dt, double U_prev,
double mass_sn) {
if (P_sn > P_f || U_prev != 0) {
//return cell->Vx[0] + (S*cell->P[4] - F)*dt / m_sn;
return U_prev + (S*P_sn - F)*dt / (mass_sn);
} else {
return 0;
}
}
double soundSpeed(double P, double rho, double psi, int gasVar) {
double result = 0;
switch (gasVar) {
case IDEAL_GAS:
result = sqrt(k * P / rho);
break;
case POWDER_EQ:
result = 1/rho * sqrt(k*P / (1/rho - (1-psi)/delta - alpha_k*psi));
break;
default:
break;
}
return result;
}
/* Euler stage X_sn calculation */
double euler_Xsn(double x_prev, double U_new) {
return x_prev + U_new*dt;
}
/* Euler stage projectile border calculation */
void euler_proj_broder(double (&array)[5], int j, double Xsn,
double dx, double dr, bool PROJECTILE) {
// double full[5];
// full[0] = M_PI*(2*(j-axis_j)+1)*dx*pow(dr,2);
// full[1] = M_PI*(2*(j-axis_j)+1)*pow(dr,2);
// full[2] = M_PI*(2*(j-axis_j)+1)*pow(dr,2);
// full[3] = 2*M_PI*(j-axis_j)*dr*dx;
// full[4] = 2*M_PI*(j-axis_j+1)*dr*dx;
// array[0] = 1 + M_PI*(2*(j-axis_j)+1)*pow(dr,2)*fmod(Xsn, dx) / full[0];
// array[1] = 1;
// array[2] = 0;
// array[3] = 1 + 2*M_PI * (j-axis_j)*dr * fmod(Xsn, dx) / full[3];
// array[4] = 1 + 2*M_PI * (j-axis_j+1)*dr * fmod(Xsn, dx) / full[4];
// if (PROJECTILE) {
array[0] = 1 + fmod(Xsn, dx)/dx;
array[1] = 1;
array[2] = 0;
array[3] = 1 + fmod(Xsn, dx) / dx;
array[4] = 1 + fmod(Xsn, dx) / dx;
// } else {
// array[0] = 1 + fmod(Xsn, dx)/dx;
// array[1] = 0;
// array[2] = 1;
// array[3] = 1 + fmod(Xsn, dx) / dx;
// array[4] = 1 + fmod(Xsn, dx) / dx;
// }
}
/* Euler stage piston right border calculation */
void euler_pist_broder(double (&array)[5], int j, double Xpist, double dx, double dr) {
// double full[5];
// full[0] = M_PI*(2*(j-axis_j)+1)*dx*pow(dr,2);
// full[1] = M_PI*(2*(j-axis_j)+1)*pow(dr,2);
// full[2] = M_PI*(2*(j-axis_j)+1)*pow(dr,2);
// full[3] = 2*M_PI*(j-axis_j)*dr*dx;
// full[4] = 2*M_PI*(j-axis_j+1)*dr*dx;
// array[0] = 1 + M_PI*(2*(j-axis_j)+1)*pow(dr,2)*fmod(Xsn, dx) / full[0];
// array[1] = 1;
// array[2] = 0;
// array[3] = 1 + 2*M_PI * (j-axis_j)*dr * fmod(Xsn, dx) / full[3];
// array[4] = 1 + 2*M_PI * (j-axis_j+1)*dr * fmod(Xsn, dx) / full[4];
array[0] = 2 - fmod(Xpist, dx)/dx;
array[1] = 0;
array[2] = 1;
array[3] = 2 - fmod(Xpist, dx)/dx;
array[4] = 2 - fmod(Xpist, dx)/dx;
}
/* Vx calculation on euler stage */
double euler_bar_Vx(cell2d & cell, int n, int i, int j,
double dt, double dx, double dr, int var) {
gasCell & curCell = cell[n][i][j];
double result = 0;
unsigned NEEDED_COND = 0;
NEEDED_COND += P_PAR;
NEEDED_COND += RHO_PAR;
NEEDED_COND += VX_PAR;
NEEDED_COND += VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
// double P_i12 = (brd[P_POS].i1j + brd[P_POS].ij)/2 *
// (1 - (k-1)*(brd[VX_POS].i1j - brd[VX_POS].ij)*dt/dx);
// double P_i_12 = (brd[P_POS].i_1j + brd[P_POS].ij)/2 *
// (1 - (k-1)*(brd[VX_POS].ij - brd[VX_POS].i_1j)*dt/dx);
double P_i12 = (brd[P_POS].i1j + brd[P_POS].ij)/2;
double P_i_12 = (brd[P_POS].i_1j + brd[P_POS].ij)/2;
switch (var) {
case FIRST_ORDER:
/** First order **/
result = curCell.Vx[0] -
(P_i12 - P_i_12) / dx * fmax(curCell.A[1], curCell.A[2]) * dt
/ (curCell.rho * curCell.A[0]);
break;
case SECOND_ORDER:
/** Second order by x, only when [i-2] and [i+2] cells're available **/
result = curCell.Vx[0] -
(1.0/12.0*cell[n][i-2][j].P[0] - 2.0/3.0*brd[P_POS].i_1j +
2.0/3.0*brd[P_POS].i1j - 1.0/12.0*cell[n][i+2][j].P[0])
/ dx * fmax(curCell.A[1],curCell.A[2]) * dt / (curCell.rho * curCell.A[0]);
break;
case FIRST_ORDER_NS:
/** With Navier-Stocks **/
result = curCell.Vx[0] - dt / (curCell.rho * curCell.A[0] * dx) *
(
// Pressure
(P_i12 - P_i_12) * fmax(curCell.A[1], curCell.A[2]) -
// Viscosity
gasMu * dx * (
(gasA+2)/pow(dx,2) * (
brd[VX_POS].i1j - 2*curCell.Vx[0] + brd[VX_POS].i_1j
) + (
brd[VX_POS].ij1 - 2*curCell.Vx[0] + brd[VX_POS].ij_1
) / pow(dr,2) +
(gasA+1)/(4*dx*dr) * (
brd[VR_POS].i1j1 + brd[VR_POS].i_1j_1 - brd[VR_POS].i_1j1 - brd[VR_POS].i1j_1
)
)
);
break;
case SECOND_ORDER_NS:
/** Second order Navier-Stocks, only when [i-2] and [i+2] cells're available **/
result = curCell.Vx[0] - dt / (curCell.rho * curCell.A[0] * dx) *
(
// Pressure
(1.0/12.0*cell[n][i-2][j].P[0] - 2.0/3.0*brd[P_POS].i_1j +
2.0/3.0*brd[P_POS].i1j - 1.0/12.0*cell[n][i+2][j].P[0])
* fmax(curCell.A[1],curCell.A[2]) -
// Viscosity
gasMu * dx * (
(gasA+2)/pow(dx,2) * (
brd[VX_POS].i1j - 2*curCell.Vx[0] + brd[VX_POS].i_1j
) + (
brd[VX_POS].ij1 - 2*curCell.Vx[0] + brd[VX_POS].ij_1
) / pow(dr,2) +
(gasA+1)/(4*dx*dr) * (
brd[VR_POS].i1j1 + brd[VR_POS].i_1j_1 - brd[VR_POS].i_1j1 - brd[VR_POS].i1j_1
)
)
);
break;
default:
break;
}
// if ((i == i_pist || i == i_pist+1) && j == 10) {
// gasCell * cell1 = &cell[n][i][j];
// gasCell * cell2 = &cell[n][i+1][j];
// gasCell * cell3 = &cell[n][i+2][j];
// printf("123");
// }
if (fabs(result-brd[VX_POS].ij) < pow(10.0,-12)) result = brd[VX_POS].ij;
return result;
}
/* Vr calculation on euler stage */
double euler_bar_Vr(cell2d & cell, int n, int i, int j,
double dt, double dx, double dr, int var) {
gasCell & curCell = cell[n][i][j];
double result = 0;
unsigned NEEDED_COND = 0;
NEEDED_COND += P_PAR;
NEEDED_COND += RHO_PAR;
NEEDED_COND += VX_PAR;
NEEDED_COND += VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
// double P_j12 = (brd[P_POS].ij1 + brd[P_POS].ij)/2 *
// (1 - (k-1)*(brd[VR_POS].ij1 - brd[VR_POS].ij)*dt/dr);
// double P_j_12 = (brd[P_POS].ij_1 + brd[P_POS].ij)/2 *
// (1 - (k-1)*(brd[VR_POS].ij - brd[VR_POS].ij_1)*dt/dr);
double P_j12 = (brd[P_POS].ij1 + brd[P_POS].ij)/2;
double P_j_12 = (brd[P_POS].ij_1 + brd[P_POS].ij)/2;
switch (var) {
case FIRST_ORDER:
/** First order **/
result = curCell.Vr[0] -
(P_j12 - P_j_12) / dx * fmax(curCell.A[3], curCell.A[4]) * dt
/ (curCell.rho * curCell.A[0]);
break;
case SECOND_ORDER:
/** Second order by r, only when [j-2] and [j+2] cells're available **/
result = curCell.Vr[0] -
(1.0/12.0*cell[n][i][j-2].P[0] - 2.0/3.0*brd[P_POS].ij_1
+ 2.0/3.0*brd[P_POS].ij1 - 1.0/12.0*cell[n][i][j+2].P[0])
/ curCell.rho * dt / curCell.A[0] * fmax(curCell.A[4],curCell.A[3]) / dr;
break;
case FIRST_ORDER_NS:
/** With Navier-Stocks **/
result = curCell.Vr[0] - dt / (curCell.rho * curCell.A[0] * dr) *
(
// Pressure
(P_j12 - P_j_12)*fmax(curCell.A[3],curCell.A[4]) -
// Viscosity
gasMu * dr *(
(gasA+2)/pow(dr,2) * (
brd[VR_POS].ij1 - 2*curCell.Vr[0] + brd[VR_POS].ij_1
) + (
brd[VR_POS].i1j - 2*curCell.Vr[0] + brd[VR_POS].i_1j
) / pow(dx,2) +
(gasA+1)/(4*dx*dr) * (
brd[VX_POS].i1j1 + brd[VX_POS].i_1j_1 - brd[VX_POS].i_1j1 - brd[VX_POS].i1j_1
)
)
) ;
break;
case SECOND_ORDER_NS:
result = curCell.Vr[0] - dt / (curCell.rho * curCell.A[0] * dr) *
(
// Pressure
(1.0/12.0*cell[n][i][j-2].P[0] - 2.0/3.0*brd[P_POS].ij_1
+ 2.0/3.0*brd[P_POS].ij1 - 1.0/12.0*cell[n][i][j+2].P[0])
* fmax(curCell.A[4],curCell.A[3]) -
// Viscosity
gasMu * dr *(
(gasA+2)/pow(dr,2) * (
brd[VR_POS].ij1 - 2*curCell.Vr[0] + brd[VR_POS].ij_1
) + (
brd[VR_POS].i1j - 2*curCell.Vr[0] + brd[VR_POS].i_1j
) / pow(dx,2) +
(gasA+1)/(4*dx*dr) * (
brd[VX_POS].i1j1 + brd[VX_POS].i_1j_1 - brd[VX_POS].i_1j1 - brd[VX_POS].i1j_1
)
)
);
break;
default:
break;
}
/** From my calc **/
//~ double result = cell.Vr[0] -
//~ cell.alpha *
//~ (
//~ cell.P[4] * cell.A[4] -
//~ cell.P[3] * cell.A[3]
//~ )
//~ * dt / (cell.rho * cell.A[0] * dr)
//~ -
//~ cell.alpha * cell.P[0] * dt / cell.rho;
/** Cleaning noise **/
//~ if (fabs(curCell.P[4] - curCell.P[3]) < pow(10,-5)/scaleV) result = curCell.Vr[0];
if (fabs(result-curCell.Vr[0]) < pow(10.0,-12)) result = curCell.Vr[0];
return result;
}
void rotateVectors(double& Vx, double& Vr, LineAngle2D angle) {
double V = sqrt(pow(Vx,2)+pow(Vr,2));
Vx = V*angle.cos_a;
Vr = V*angle.sin_a;
}
double * smoothSpeed(double * Vx, double * Vr, LineAngle2D angle) {
double V[3];
double * result = new double[2];
for (int i = 0; i < 3; i++)
V[i] = sqrt(pow(Vx[i],2)+pow(Vr[i],2));
V[1] = 0.1*V[0] + 0.8*V[1] + 0.1*V[2];
result[0] = V[1]*angle.cos_a;
result[1] = V[1]*angle.sin_a;
return result;
}
/* Energy calculation on euler stage */
double euler_bar_e(cell2d & cell, int n, int i, int j,
double dt, double dx, double dr, int var) {
gasCell & curCell = cell[n][i][j];
double result = 0;
unsigned NEEDED_COND = 0;
NEEDED_COND += P_PAR;
NEEDED_COND += RHO_PAR;
NEEDED_COND += E_PAR;
NEEDED_COND += VX_PAR;
NEEDED_COND += VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double P_i12 = (brd[P_POS].i1j + brd[P_POS].ij)/2;
double P_i_12 = (brd[P_POS].i_1j + brd[P_POS].ij)/2;
double P_j12 = (brd[P_POS].ij1 + brd[P_POS].ij)/2;
double P_j_12 = (brd[P_POS].ij_1 + brd[P_POS].ij)/2;
double Vx_i12 = (brd[VX_POS].i1j + brd[VX_POS].ij)/2;
double Vx_i_12 = (brd[VX_POS].i_1j + brd[VX_POS].ij)/2;
double Vr_j12 = (brd[VR_POS].ij1 + brd[VR_POS].ij)/2;
double Vr_j_12 = (brd[VR_POS].ij_1 + brd[VR_POS].ij)/2;
switch (var) {
case FIRST_ORDER:
/** First order **/
result = curCell.e -
(
(P_i12*Vx_i12 - P_i_12*Vx_i_12) / dx * fmax(curCell.A[1],curCell.A[2]) +
(fabs(j-axis_j)*P_j12*Vr_j12 - fabs(j-axis_j-1)*P_j_12*Vr_j_12) / (fabs(j-axis_j-0.5)*dr) * fmax(curCell.A[3],curCell.A[4])
) * dt / (curCell.A[0] * curCell.rho);
break;
case SECOND_ORDER:
break;
case FIRST_ORDER_NS: {
/** With Navier-Stocks **/
double I1 = curCell.e - (pow(curCell.Vx[0],2) + pow(curCell.Vr[0],2))/2;
double I2 = brd[E_POS].i_1j - (pow(brd[VX_POS].i_1j,2) + pow(brd[VR_POS].i_1j,2))/2;
double I3 = brd[E_POS].i1j - (pow(brd[VX_POS].i1j,2) + pow(brd[VR_POS].i1j,2))/2;
double I4 = brd[E_POS].ij_1 - (pow(brd[VX_POS].ij_1,2) + pow(brd[VR_POS].ij_1,2))/2;
double I5 = brd[E_POS].ij1 - (pow(brd[VX_POS].ij1,2) + pow(brd[VR_POS].ij1,2))/2;
result = curCell.e - dt / (curCell.A[0] * curCell.rho) *
(
// Pressure
(P_i12*Vx_i12 - P_i_12*Vx_i_12) / dx * fmax(curCell.A[1],curCell.A[2]) +
(fabs(j-axis_j)*P_j12*Vr_j12 - fabs(j-axis_j-1)*P_j_12*Vr_j_12) /
((fabs(j-axis_j-0.5))*dr) * fmax(curCell.A[3],curCell.A[4])
-
// Viscosity
// X axis
gasMu * (gasA + 2) / (2 * pow(dx,2)) * (
pow(brd[VX_POS].i1j, 2) + pow(brd[VX_POS].i_1j, 2) - 2*pow(curCell.Vx[0], 2)
)
+
gasA * gasMu / (4*dx*dr) * (
brd[VX_POS].i1j * (brd[VR_POS].i1j1 - brd[VR_POS].i1j_1) -
brd[VX_POS].i_1j * (brd[VR_POS].i_1j1 - brd[VR_POS].i_1j_1)
)
+
gasMu / (pow(dx,2)) * (
pow(brd[VR_POS].i1j, 2) + pow(brd[VR_POS].i_1j, 2) - 2*pow(curCell.Vr[0], 2)
)
+
gasMu / (4*dx*dr) * (
brd[VR_POS].i1j * (brd[VX_POS].i1j1 - brd[VX_POS].i1j_1) -
brd[VR_POS].i_1j * (brd[VX_POS].i_1j1 - brd[VX_POS].i_1j_1)
)
+
gasB * gasMu / pow(dx,2) * (I3 + I2 - 2*I1)
+
// R axis
gasMu * (gasA + 2) / (2 * pow(dr,2)) * (
pow(brd[VR_POS].ij1, 2) + pow(brd[VR_POS].ij_1, 2) - 2*pow(curCell.Vr[0], 2)
)
+
gasA * gasMu / (4*dx*dr) * (
brd[VR_POS].ij1 * (brd[VX_POS].i1j1 - brd[VX_POS].i_1j1) -
brd[VR_POS].ij_1 * (brd[VX_POS].i1j_1 - brd[VX_POS].i_1j_1)
)
+
gasMu / (pow(dr,2)) * (
pow(brd[VX_POS].ij1, 2) + pow(brd[VX_POS].ij_1, 2) - 2*pow(curCell.Vx[0], 2)
)
+
gasMu / (4*dx*dr) * (
brd[VX_POS].ij1 * (brd[VR_POS].i1j1 - brd[VR_POS].i_1j1) -
brd[VX_POS].ij_1 * (brd[VR_POS].i1j_1 - brd[VR_POS].i_1j_1)
)
+
gasB * gasMu / pow(dr,2) * (I5 + I4 - 2*I1)
);
break;
}
default:
break;
}
/** From my calc **/
//~ double result = cell->e -
//~ cell->A[0] * cell->P[0] *
//~ (
//~ cell->Vx[2] - cell->Vx[1]
//~ ) * dt /
//~ (
//~ cell->A[0] * cell->rho * dx
//~ ) -
//~ cell->A[0] * cell->P[0] *
//~ (
//~ cell->Vr[4] - cell->Vr[3]
//~ ) * dt /
//~ (
//~ cell->A[0] * cell->rho * dr
//~ ) -
//~ cell->alpha * cell->Vx[0] *
//~ (
//~ cell->P[2] * cell->A[2] - cell->P[1] * cell->A[1]
//~ ) * dt /
//~ (
//~ cell->A[0] * cell->rho * dx
//~ ) -
//~ cell->alpha * cell->Vr[0] *
//~ (
//~ cell->P[4]*cell->A[4] - cell->P[3]*cell->A[3]
//~ ) * dt /
//~ (
//~ cell->A[0] * cell->rho * dr
//~ ) -
//~ cell->A[0] * cell->P[0] * cell->Vr[0] * dt /
//~ (
//~ cell->A[0] * cell->rho * j * dr
//~ ) +
//~ Qr * dt /
//~ (
//~ cell->A[0] * cell->rho
//~ );
if (fabs(result-brd[E_POS].ij) < pow(10.0,-12)) result = brd[E_POS].ij;
if (result == result) { // if not NaN
return result;
} else {
cout << "bar_e is NaN" << endl
<< "i = " << i << endl
<< "j = " << j << endl
<< "Vr[3] = " << cell[n][i][j].Vr[3] << endl
<< "Vr[4] = " << cell[n][i][j].Vr[4] << endl
<< "P[3] = " << cell[n][i][j].P[3] << endl
<< "P[4] = " << cell[n][i][j].P[4] << endl
<< "Second brackets = " <<((j-axis_j)*cell[n][i][j].P[4]*cell[n][i][j].Vr[4] - (j-axis_j-1)*cell[n][i][j].P[3]*cell[n][i][j].Vr[3]) / ((fabs(j-axis_j-0.5))*dr) *
fmax(cell[n][i][j].A[3],cell[n][i][j].A[4]) << endl
<< "(fabs(j-axis_j-0.5))*dr = " << (fabs(j-axis_j-0.5))*dr << endl
<< "fmax(cell[n][i][j].A[3],cell[n][i][j].A[4]) = " << fmax(cell[n][i][j].A[3],cell[n][i][j].A[4]) << endl << endl;
getchar();
return 0;
}
}
double lagrange_e(gasCell * prevCell, gasCell * cell) {
double Ak = prevCell->A[0]/cell->A[0] < 1 ? prevCell->A[0]/cell->A[0] : 1;
//~ double scaled_e = (cell->bar_e - (pow(prevCell->Vx[0],2) + pow(prevCell->Vr[0],2))/2)*Ak +
//~ (pow(prevCell->Vx[0],2) + pow(prevCell->Vr[0],2))/2;
double scaled_e = cell->bar_e * Ak;
return scaled_e;
}
/* Density on lagrange stage */
double lagrange_rho(gasCell * curCell, gasCell * prevCell, int i, int j, double dt, double dx, double dr) {
double result;
if (fabs(curCell->dM[1]) > pow(10.0,-15) ||
fabs(curCell->dM[2]) > pow(10.0,-15) ||
fabs(curCell->dM[3]) > pow(10.0,-15) ||
fabs(curCell->dM[4]) > pow(10.0,-15)) {
result = curCell->rho +
(
(2*curCell->D[1] - 1)*curCell->dM[1] +
(2*curCell->D[3] - 1)*curCell->dM[3] +
(2*curCell->D[2] - 1)*curCell->dM[2] +
(2*curCell->D[4] - 1)*curCell->dM[4]
) /
(curCell->A[0] * dx * fabs(j-axis_j-0.5) * pow(dr,2))
;
} else {
result = curCell->rho;
}
if (curCell->type == 22 && result > 1000) {
printf("123");
}
if (result <= 0) {
cout << "rho < 0" << endl
<< "i = " << i << endl
<< "j = " << j << endl
<< "rho = " << curCell->rho << endl
<< "A[0] = " << curCell->A[0] << endl
<< "dM[1] = " << curCell->dM[1]*dt << endl
<< "dM[2] = " << curCell->dM[2]*dt << endl
<< "dM[3] = " << curCell->dM[3]*dt << endl
<< "dM[4] = " << curCell->dM[4]*dt << endl
<< "dx = " << dx << endl
<< "dr = " << dr << endl
<< "dt = " << dt << endl << endl;
getchar();
}
return result;
}
/* Lagrangian stage mass calculation */
void lagrange_mass(double (&array)[21], cell2d & cell,
int i, int j, int n,
double dx, double dr, double dt) {
/****************************************************************
* Additional zero to have the same length as A *
* first empty + dM[4] + dMVx[4] + dMVr[4] + dME[4] + D[4] *
* **************************************************************/
for (int iter = 0; iter < 21; iter++) array[iter] = 0;
gasCell & curCell = cell[n][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += RHO_PAR;
NEEDED_COND += BAR_VX_PAR;
NEEDED_COND += BAR_VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double Vx_i_12 = (brd[BAR_VX_POS].i_1j + brd[BAR_VX_POS].ij)/2;
double Vx_i12 = (brd[BAR_VX_POS].i1j + brd[BAR_VX_POS].ij)/2;
double Vr_j_12 = (brd[BAR_VR_POS].ij_1 + brd[BAR_VR_POS].ij)/2;
double Vr_j12 = (brd[BAR_VR_POS].ij1 + brd[BAR_VR_POS].ij)/2;
/** First order **/
bool ruleVx1 = Vx_i_12 > 0 ? true : false;
bool ruleVx2 = Vx_i12 > 0 ? true : false;
bool ruleVr1 = Vr_j_12 > 0 ? true : false;
bool ruleVr2 = Vr_j12 > 0 ? true : false;
if (ruleVx1) {
array[1] = (fabs(j-axis_j-0.5))*cell[n][i-1][j].A[2] * brd[RHO_POS].i_1j * Vx_i_12 * pow(dr,2) * dt;
} else {
array[1] = (fabs(j-axis_j-0.5))*curCell.A[1] * brd[RHO_POS].ij * Vx_i_12 * pow(dr,2) * dt;
}
if (fabs(array[1]) < pow(10.0,-14)) array[1] = 0;
if (ruleVx2) {
array[2] = (fabs(j-axis_j-0.5))*curCell.A[2] * brd[RHO_POS].ij * Vx_i12 * pow(dr,2) * dt;
} else {
array[2] = (fabs(j-axis_j-0.5))*cell[n][i+1][j].A[1] * brd[RHO_POS].i1j * Vx_i12 * pow(dr,2) * dt;
}
if (fabs(array[2]) < pow(10.0,-14)) array[2] = 0;
if (ruleVr1) {
array[3] = cell[n][i][j-1].A[4] * brd[RHO_POS].ij_1 * Vr_j_12 * j*dx*dr * dt;
// array[3] = cell[n][i][j-1].A[4] * brd[RHO_POS].ij_1 * Vr_j_12 * dx * dt;
} else {
array[3] = curCell.A[3] * brd[RHO_POS].ij * Vr_j_12 * j*dx*dr * dt;
// array[3] = curCell.A[3] * brd[RHO_POS].ij * Vr_j_12 * dx * dt;
}
if (fabs(array[3]) < pow(10.0,-14)) array[3] = 0;
if (ruleVr2) {
array[4] = curCell.A[4] * brd[RHO_POS].ij * Vr_j12 * (j+1)*dx*dr * dt;
// array[4] = curCell.A[4] * brd[RHO_POS].ij * Vr_j12 * dx * dt;
} else {
array[4] = cell[n][i][j+1].A[3] * brd[RHO_POS].ij1 * Vr_j12 * (j+1)*dx*dr * dt;
// array[4] = cell[n][i][j+1].A[3] * brd[RHO_POS].ij1 * Vr_j12 * dx * dt;
}
if (fabs(array[4]) < pow(10.0,-14)) array[4] = 0;
array[5] = ruleVx1 ? 1 : 0;
array[6] = ruleVx2 ? 0 : 1;
array[7] = ruleVr1 ? 1 : 0;
array[8] = ruleVr2 ? 0 : 1;
double debugArray[21];
for (int idx = 0; idx < 21; idx++) {
debugArray[idx] = array[idx];
}
if (curCell.type == 22 && curCell.rho > 1000) {
printf("123");
}
// if ((i == i_pist || i == i_pist+1) && j == 10) {
// gasCell * cell1 = &cell[n][i][j];
// gasCell * cell2 = &cell[n][i+1][j];
// gasCell * cell3 = &cell[n][i+2][j];
// printf("123");
// }
/** Central **/
// array[1] = brd[RHO_POS].i_1j * brd[BAR_VX_POS].i_1j * (fabs(j-axis_j-0.5)) * pow(dr,2) * dt;
// array[2] = brd[RHO_POS].i1j * brd[BAR_VX_POS].i1j * (fabs(j-axis_j-0.5)) * pow(dr,2) * dt;
// array[3] = brd[RHO_POS].ij_1 * brd[BAR_VR_POS].ij_1 * j*dx*dr * dt;
// array[4] = brd[RHO_POS].ij1 * brd[BAR_VR_POS].ij1 * (j+1)*dx*dr * dt;
// array[5] = ruleVx1 ? 1 : 0;
// array[6] = ruleVx2 ? 0 : 1;
// array[7] = ruleVr1 ? 1 : 0;
// array[8] = ruleVr2 ? 0 : 1;
/** Second order **/
//~ bool ruleVx11 = Vx + Vx_i_1 > 0 ? true : false;
//~ bool ruleVx12 = Vx - (Vx_i1 - Vx_i_1)/4 > 0 ? true : false;
//~ bool ruleVx13 = Vx_i_1 + (Vx - Vx_i_2)/4 > 0 ? true : false;
//~ bool ruleVx21 = Vx + Vx_i1 > 0 ? true : false;
//~ bool ruleVx22 = Vx + (Vx_i1 - Vx_i_1)/4 > 0 ? true : false;
//~ bool ruleVx23 = Vx_i1 - (Vx_i2 - Vx)/4 > 0 ? true : false;
//~ bool ruleVr11 = Vr + Vr_j_1 > 0 ? true : false;
//~ bool ruleVr12 = Vr + (Vr_j1 - Vr_j_1)/4 > 0 ? true : false;
//~ bool ruleVr13 = Vr_j_1 - (Vr_j_2 - Vr)/4 > 0 ? true : false;
//~ bool ruleVr21 = Vr + Vr_j1 > 0 ? true : false;
//~ bool ruleVr22 = Vr + (Vr_j1 - Vr_j_1)/4 > 0 ? true : false;
//~ bool ruleVr23 = Vr_j1 - (Vr_j2 - Vr)/4 > 0 ? true : false;
//~
//~ // dM(i-1/2,j)
//~ // From right to left
//~ if (ruleVx11 == ruleVx12 && !ruleVx11 && (fabs(Vx) > pow(10,-15) || fabs(Vx_i1) > pow(10,-15) || fabs(Vx_i_1) > pow(10,-15))) {
//~ array[1] = (Vx - (Vx_i1 - Vx_i_1)/4) *
//~ (rho - (rho_i1 - rho_i_1)/4) * cell[n][i-1][j].A[2] * fabs(j-axis_j-0.5)*pow(dr,2) * dt;
//~ }
//~ // From left to right
//~ if (ruleVx11 == ruleVx13 && ruleVx11 && (fabs(Vx) > pow(10,-15) || fabs(Vx_i_2) > pow(10,-15) || fabs(Vx_i_1) > pow(10,-15))) {
//~ array[1] = (Vx_i_1 + (Vx - Vx_i_2)/4) *
//~ (rho_i_1 + (rho - rho_i_2)/4) * cell[n][i][j].A[1] * fabs(j-axis_j-0.5)*pow(dr,2) * dt;
//~ }
//~ // dM(i+1/2,j)
//~ // From left to right
//~ if (ruleVx21 == ruleVx22 && ruleVx21 && (fabs(Vx) > pow(10,-15) || fabs(Vx_i1) > pow(10,-15) || fabs(Vx_i_1) > pow(10,-15))) {
//~ array[2] = (Vx + (Vx_i1 - Vx_i_1)/4) *
//~ (rho + (rho_i1 - rho_i_1)/4) * cell[n][i][j].A[2] * fabs(j-axis_j-0.5)*pow(dr,2) * dt;
//~ }
//~ // From right to left
//~ if (ruleVx21 == ruleVx23 && !ruleVx21 && (fabs(Vx) > pow(10,-15) || fabs(Vx_i1) > pow(10,-15) || fabs(Vx_i2) > pow(10,-15))) {
//~ array[2] = (Vx_i1 - (Vx_i2 - Vx)/4) *
//~ (rho_i1 - (rho_i2 - rho)/4) * cell[n][i+1][j].A[1] * fabs(j-axis_j-0.5)*pow(dr,2) * dt;
//~ }
//~ // dM(i,j-1/2)
//~ if (ruleVr11 == ruleVr13 && ruleVr11 && (fabs(Vr) > pow(10,-15) || fabs(Vr_j_1) > pow(10,-15) || fabs(Vr_j_2) > pow(10,-15))) {
//~ array[3] = (Vr_j_1 - (Vr_j_2 - Vr)/4) *
//~ (rho_j_1 - (rho_j_2 - rho)/4) * cell[n][i][j-1].A[4] * dx * dt;
//~ }
//~ if (ruleVr11 == ruleVr12 && !ruleVr11 && (fabs(Vr) > pow(10,-15) || fabs(Vr_j1) > pow(10,-15) || fabs(Vr_j_1) > pow(10,-15))) {
//~ array[3] = (Vr + (Vr_j_1 - Vr_j1)/4) *
//~ (rho + (rho_j_1 - rho_j1)/4) * cell[n][i][j].A[3] * dx * dt;
//~ }
//~ // dM(i,j+1/2)
//~ if (ruleVr21 == ruleVr22 && ruleVr21 && (fabs(Vr) > pow(10,-15) || fabs(Vr_j1) > pow(10,-15) || fabs(Vr_j_1) > pow(10,-15))) {
//~ array[4] = (Vr + (Vr_j1 - Vr_j_1)/4) *
//~ (rho + (rho_j1 - rho_j_1)/4) * cell[n][i][j].A[4] * dx * dt;
//~ }
//~ if (ruleVr21 == ruleVr23 && !ruleVr21 && (fabs(Vr) > pow(10,-15) || fabs(Vr_j1) > pow(10,-15) || fabs(Vr_j2) > pow(10,-15))) {
//~ array[4] = (Vr_j1 - (Vr_j2 - Vr)/4) *
//~ (rho_j1 - (rho_j2 - rho)/4) * cell[n][i][j+1].A[3] * dx * dt;
//~ }
//~
//~ if (cell[n][i][j].A[1] == 0) array[1] = 0;
//~ if (cell[n][i][j].A[2] == 0) array[2] = 0;
//~ if (cell[n][i][j].A[3] == 0) array[3] = 0;
//~ if (cell[n][i][j].A[4] == 0) array[4] = 0;
//~
//~ array[5] = array[1] > 0 ? 1 : 0;
//~ array[6] = array[2] > 0 ? 0 : 1;
//~ array[7] = array[3] > 0 ? 1 : 0;
//~ array[8] = array[4] > 0 ? 0 : 1;
}
double euler_z (cell2d * previousCell, gasCell * cell, int n, int i, int j) {
double result = cell->final_z +
(cell->P[0]*scaleP) / (I_k*scaleIK) * (dt*scaleT);
if (result > max_z) {
return max_z;
} else {
return result;
}
}
double euler_psi (gasCell& cell, int n, int i, int j) {
double result = cell.final_psi +
(kappa + 2*kappa*lambda*cell.bar_z) * (cell.P[0]*scaleP) / (I_k*scaleIK) * (dt*scaleT);
if (result > 1) {
return 1;
} else {
return result;
}
}
double new_final_z (cell2d& cell, int i, int j, int n,
double dx, double dr, double dt) {
gasCell & curCell = cell[n][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += RHO_PAR;
NEEDED_COND += BAR_VX_PAR;
NEEDED_COND += BAR_VR_PAR;
NEEDED_COND += Z_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double result = curCell.bar_z * curCell.rho / cell[n+1][i][j].rho
+
(
curCell.D[1] * brd[BAR_Z_POS].i_1j * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[2] * brd[BAR_Z_POS].i1j * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[3] * brd[BAR_Z_POS].ij_1 * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[4] * brd[BAR_Z_POS].ij1 * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[1]) * curCell.bar_z * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[2]) * curCell.bar_z * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[3]) * curCell.bar_z * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[4]) * curCell.bar_z * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
)
;
if (result > 1) {
return 1;
} else {
return result;
}
}
double new_final_psi (cell2d& cell, int i, int j, int n,
double dx, double dr, double dt) {
gasCell & curCell = cell[n][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += RHO_PAR;
NEEDED_COND += BAR_VX_PAR;
NEEDED_COND += BAR_VR_PAR;
NEEDED_COND += PSI_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double result = curCell.bar_psi * curCell.rho / cell[n+1][i][j].rho
+
(
curCell.D[1] * brd[BAR_PSI_POS].i_1j * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[2] * brd[BAR_PSI_POS].i1j * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[3] * brd[BAR_PSI_POS].ij_1 * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[4] * brd[BAR_PSI_POS].ij1 * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[1]) * curCell.bar_psi * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[2]) * curCell.bar_psi * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[3]) * curCell.bar_psi * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[4]) * curCell.bar_psi * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
)
;
if (result > 1) {
return 1;
} else {
return result;
}
}
/* Final stage P calculation */
double final_calc_p(gasCell * prevCell, gasCell * curCell, int var, int i) {
double result = 0;
switch (var) {
case IDEAL_GAS:
result = (curCell->e - (pow(curCell->Vx[0],2)+pow(curCell->Vr[0],2))/2 ) * (k-1) /
(1/curCell->rho);
break;
case ABEL_DUPRE:
result = (curCell->e - (pow(curCell->Vx[0],2)+pow(curCell->Vr[0],2))/2 ) * (k-1) /
(1/curCell->rho - alpha_k);
break;
case POWDER_EQ:
result = (curCell->e - (pow(curCell->Vx[0],2)+pow(curCell->Vr[0],2))/2 - f/(k-1)*(1-curCell->final_psi)) * (k-1) /
(1/curCell->rho - (1 - curCell->final_psi)/delta - alpha_k * curCell->final_psi);
break;
case PISTON:
result = PISTON_B * curCell->rho/PISTON_RHO * (curCell->rho/PISTON_RHO - 1) /
pow(PISTON_C - curCell->rho/PISTON_RHO, 2);
break;
default:
break;
}
if (result != result) {
cout << "P is NaN" << endl;
getchar();
}
if (result < 0) {
broken_dt = true;
cout << "P < 0" << endl;
cout << "alpha_k = " << alpha_k << endl;
cout << "E = " << curCell->e << endl
<< "Internal energy = " << curCell->e * (k-1) * curCell->rho << endl
<< "rho = " << curCell->rho << endl
<< "i = " << i << endl
<< "final_psi = " << curCell->final_psi << endl
<< "delta = " << delta << endl
<< "alpha = " << curCell->alpha << endl
<< "m*dt = " << curCell->m*dt << endl
<< "Vx[0] = " << curCell->Vx[0] << endl
<< "Vr[0] = " << curCell->Vr[0] << endl;
getchar();
}
return result;
}
/* Final stage Vx calculation */
double final_calc_Vx(cell2d& cell, int i, int j, int n,
double dx, double dr, double dt) {
gasCell & curCell = cell[n][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += RHO_PAR;
NEEDED_COND += BAR_VX_PAR;
NEEDED_COND += BAR_VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double result = curCell.bar_Vx[0] * brd[RHO_POS].ij / cell[n+1][i][j].rho
+
(
curCell.D[1] * brd[BAR_VX_POS].i_1j * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[2] * brd[BAR_VX_POS].i1j * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[3] * brd[BAR_VX_POS].ij_1 * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[4] * brd[BAR_VX_POS].ij1 * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[1]) * curCell.bar_Vx[0] * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[2]) * curCell.bar_Vx[0] * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[3]) * curCell.bar_Vx[0] * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[4]) * curCell.bar_Vx[0] * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
)
;
if (result != result) {
printf("Vx is NaN!");
getchar();
}
return result;
}
/* Final stage Vr calculation */
double final_calc_Vr(cell2d& cell, int i, int j, int n,
double dx, double dr, double dt) {
gasCell & curCell = cell[n][i][j];
gasCell & nextTCell = cell[n+1][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += BAR_VR_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double result = curCell.bar_Vr[0] * curCell.rho / nextTCell.rho
+
(
curCell.D[1] * brd[BAR_VR_POS].i_1j * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[2] * brd[BAR_VR_POS].i1j * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[3] * brd[BAR_VR_POS].ij_1 * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[4] * brd[BAR_VR_POS].ij1 * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[1]) * curCell.bar_Vr[0] * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[2]) * curCell.bar_Vr[0] * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[3]) * curCell.bar_Vr[0] * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[4]) * curCell.bar_Vr[0] * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * nextTCell.rho * curCell.A[0] * dx * pow(dr,2))
)
;
return result;
}
/* Final stage E calculation */
double final_calc_e(cell2d& cell, int i, int j, int n,
double dx, double dr, double dt) {
gasCell & curCell = cell[n][i][j];
unsigned NEEDED_COND = 0;
NEEDED_COND += RHO_PAR;
NEEDED_COND += BAR_VX_PAR;
NEEDED_COND += BAR_E_PAR;
BorderCond brd[10];
calculateBorder(n, cell[n], NEEDED_COND, brd, i, j);
double result = curCell.bar_e * brd[RHO_POS].ij / cell[n+1][i][j].rho
+
(
curCell.D[1] * brd[BAR_E_POS].i_1j * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[2] * brd[BAR_E_POS].i1j * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[3] * brd[BAR_E_POS].ij_1 * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
+
curCell.D[4] * brd[BAR_E_POS].ij1 * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[1]) * curCell.bar_e * curCell.dM[1] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[2]) * curCell.bar_e * curCell.dM[2] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[3]) * curCell.bar_e * curCell.dM[3] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
-
(1-curCell.D[4]) * curCell.bar_e * curCell.dM[4] / ((fabs(j-axis_j-0.5)) * cell[n+1][i][j].rho * curCell.A[0] * dx * pow(dr,2))
)
;
if (result < 0) {
cout << "E < 0" << endl;
cout << "i = " << i << endl
<< "j = " << j << endl;
cout << setiosflags(ios::fixed) << setprecision(16) <<
"bar_E = " << cell[n][i][j].bar_e << endl <<
"lower bar_E = " << cell[n][i][j-1].bar_e << endl <<
"upper bar_E = " << cell[n][i][j+1].bar_e << endl <<
"E = " << cell[n+1][i][j].e << endl <<
"lower E = " << cell[n+1][i][j-1].e << endl <<
"upper E = " << cell[n+1][i][j+1].e << endl <<
"P[0] = " << cell[n][i][j].P[0] << endl <<
"A[0] = " << cell[n][i][j].A[0] << endl <<
"bar_Vx = " << cell[n][i][j].bar_Vx[0] << endl <<
"lower bar_Vx = " << cell[n][i][j-1].bar_Vx[0] << endl <<
"upper bar_Vx = " << cell[n][i][j+1].bar_Vx[0] << endl <<
"rho = " << cell[n+1][i][j].rho << endl <<
"lower rho = " << cell[n+1][i][j-1].rho << endl <<
"upper rho = " << cell[n+1][i][j+1].rho << endl <<
"prev rho = " << cell[n][i][j].rho << endl <<
"lower prev rho = " << cell[n][i][j-1].rho << endl <<
"upper prev rho = " << cell[n][i][j+1].rho << endl <<
"D = {" << cell[n][i][j].D[1] << ", " << cell[n][i][j].D[2] << ", " << cell[n][i][j].D[3] << ", " << cell[n][i][j].D[4] << "} " << endl <<
"dM = {" << cell[n][i][j].dM[1] << ", " << cell[n][i][j].dM[2] << ", " << cell[n][i][j].dM[3] << ", " << cell[n][i][j].dM[4] << "} " << endl <<
"lower dM = {" << cell[n][i][j-1].dM[1] << ", " << cell[n][i][j-1].dM[2] << ", " << cell[n][i][j-1].dM[3] << ", " << cell[n][i][j-1].dM[4] << "} " << endl <<
"upper dM = {" << cell[n][i][j+1].dM[1] << ", " << cell[n][i][j+1].dM[2] << ", " << cell[n][i][j+1].dM[3] << ", " << cell[n][i][j+1].dM[4] << "} " << endl << endl;
getchar();
}
if (result != result) {
cout << "final_e is NaN" << endl;
cout << "i = " << i << endl
<< "j = " << j << endl;
cout << setiosflags(ios::fixed) << setprecision(16) <<
"bar_E = " << cell[n+1][i][j].bar_e << endl <<
"lower bar_E = " << cell[n+1][i][j-1].bar_e << endl <<
"upper bar_E = " << cell[n+1][i][j+1].bar_e << endl <<
"E = " << cell[n+1][i][j].e << endl <<
"lower E = " << cell[n+1][i][j-1].e << endl <<
"upper E = " << cell[n+1][i][j+1].e << endl <<
"P[0] = " << cell[n][i][j].P[0] << endl <<
"A[0] = " << cell[n][i][j].A[0] << endl <<
"bar_Vx = " << cell[n+1][i][j].bar_Vx[0] << endl <<
"lower bar_Vx = " << cell[n+1][i][j-1].bar_Vx[0] << endl <<
"upper bar_Vx = " << cell[n+1][i][j+1].bar_Vx[0] << endl <<
"rho = " << cell[n+1][i][j].rho << endl <<
"lower rho = " << cell[n+1][i][j-1].rho << endl <<
"upper rho = " << cell[n+1][i][j+1].rho << endl <<
"prev rho = " << cell[n][i][j].rho << endl <<
"lower prev rho = " << cell[n][i][j-1].rho << endl <<
"upper prev rho = " << cell[n][i][j+1].rho << endl <<
"dM = {" << cell[n+1][i][j].dM[1] << ", " << cell[n+1][i][j].dM[2] << ", " << cell[n+1][i][j].dM[3] << ", " << cell[n+1][i][j].dM[4] << "} " << endl <<
"lower dM = {" << cell[n+1][i][j-1].dM[1] << ", " << cell[n+1][i][j-1].dM[2] << ", " << cell[n+1][i][j-1].dM[3] << ", " << cell[n+1][i][j-1].dM[4] << "} " << endl <<
"upper dM = {" << cell[n+1][i][j+1].dM[1] << ", " << cell[n+1][i][j+1].dM[2] << ", " << cell[n+1][i][j+1].dM[3] << ", " << cell[n+1][i][j+1].dM[4] << "} " << endl << endl;
getchar();
}