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#define M 100
#define N 100
#define N3 10
int main() {
int DX;
int DY;
int FSDX;
int FSDY;
int TDT;
int TDTS8;
int TDTSDX;
int TDTSDY;
int t, i, j;
double CU[M + 1][N + 1];
double CV[M + 1][N + 1];
double Z[M + 1][N + 1];
double H[M + 1][N + 1];
double P[M + 1][N + 1];
double U[M + 1][N + 1];
double V[M + 1][N + 1];
double UNEW[M + 1][N + 1];
double UOLD[M + 1][N + 1];
double PNEW[M + 1][N + 1];
double POLD[M + 1][N + 1];
double VNEW[M + 1][N + 1];
double VOLD[M + 1][N + 1];
double ALPHA;
for (t = 0; t < N3; t++) {
FSDX = 4 / DX;
FSDY = 4 / DY;
for (i = 0; i < M; i++) {
for (j = 0; j < N; j++) {
CU[i + 1][j] = (double) 0.5 * (P[i + 1][j] + P[i][j])
* U[i + 1][j];
CV[i][j + 1] = (double) 0.5 * (P[i][j + 1] + P[i][j])
* V[i][j + 1];
Z[i + 1][j + 1] =
(FSDX * (V[i + 1][j + 1] - V[i][j + 1])
- FSDY * (U[i + 1][j + 1] - U[i + 1][j]))
/ (P[i][j] + P[i + 1][j] + P[i + 1][j + 1]
+ P[i][j + 1]);
H[i][j] = P[i][j]
+ (double) 0.25
* (U[i + 1][j] * U[i + 1][j] + U[i][j] * U[i][j]
+ V[i][j + 1] * V[i][j + 1]
+ V[i][j] * V[i][j]);
}
}
for (j = 0; j < N; j++) {
// CU[0][j] = CU[M+1][j];
CU[0][j] = CU[M][j];
CV[M][j + 1] = CV[0][j + 1];
Z[0][j + 1] = Z[M][j + 1];
H[M][j] = H[0][j];
}
for (i = 0; i < M; i++) {
CU[i + 1][N] = CU[i + 1][0];
CV[i][0] = CV[i][N];
Z[i + 1][0] = Z[i + 1][N];
H[i][N] = H[i][0];
}
CU[0][N] = CU[M][0];
CV[M][0] = CV[0][N];
Z[0][0] = Z[M][N];
H[M][N] = H[0][0];
TDTS8 = TDT / 8;
TDTSDX = TDT / DX;
TDTSDY = TDT / DY;
for (i = 0; i < M; i++) {
for (j = 0; j < N; j++) {
UNEW[i + 1][j] = UOLD[i + 1][j]
+ TDTS8 * (Z[i + 1][j + 1] + Z[i + 1][j])
* (CV[i + 1][j + 1] + CV[i][j + 1] + CV[i][j]
+ CV[i + 1][j])
- TDTSDX * (H[i + 1][j] - H[i][j]);
VNEW[i][j + 1] = VOLD[i][j + 1]
- TDTS8 * (Z[i + 1][j + 1] + Z[i][j + 1])
* (CU[i + 1][j + 1] + CU[i][j + 1] + CU[i][j]
+ CU[i + 1][j])
- TDTSDY * (H[i][j + 1] - H[i][j]);
PNEW[i][j] = POLD[i][j] - TDTSDX * (CU[i + 1][j] - CU[i][j])
- TDTSDY * (CV[i][j + 1] - CV[i][j]);
}
}
for (j = 0; j < N; j++) {
UNEW[0][j] = UNEW[M][j];
VNEW[M][j + 1] = VNEW[0][j + 1];
PNEW[M][j] = PNEW[0][j];
}
for (i = 0; i < M; i++) {
UNEW[i + 1][N] = UNEW[i + 1][0];
VNEW[i][0] = VNEW[i][N];
PNEW[i][N] = PNEW[i][0];
}
UNEW[0][N] = UNEW[M][0];
VNEW[M][0] = VNEW[0][N];
PNEW[M][N] = PNEW[0][0];
// time = time + DT;
for (i = 0; i < M; i++) {
for (j = 0; j < N; j++) {
UOLD[i][j] = U[i][j]
+ ALPHA
* (UNEW[i][j] - (double) 2 * U[i][j]
+ UOLD[i][j]);
VOLD[i][j] = V[i][j]
+ ALPHA
* (VNEW[i][j] - (double) 2 * V[i][j]
+ VOLD[i][j]);
POLD[i][j] = P[i][j]
+ ALPHA
* (PNEW[i][j] - (double) 2 * P[i][j]
+ POLD[i][j]);
U[i][j] = UNEW[i][j];
V[i][j] = VNEW[i][j];
P[i][j] = PNEW[i][j];
}
}
for (j = 0; j < N; j++) {
UOLD[M][j] = UOLD[0][j];
VOLD[M][j] = VOLD[0][j];
POLD[M][j] = POLD[0][j];
U[M][j] = U[0][j];
V[M][j] = V[0][j];
P[M][j] = P[0][j];
}
for (i = 0; i < M; i++) {
UOLD[i][N] = UOLD[i][0];
VOLD[i][N] = VOLD[i][0];
POLD[i][N] = POLD[i][0];
U[i][N] = U[i][0];
V[i][N] = V[i][0];
P[i][N] = P[i][0];
}
UOLD[M][N] = UOLD[0][0];
VOLD[M][N] = VOLD[0][0];
POLD[M][N] = POLD[0][0];
U[M][N] = U[0][0];
V[M][N] = V[0][0];
P[M][N] = P[0][0];
}
return 0;
}
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