Table 1 The RMS errors and convergence rate of the velocity and pressure obtained in solving test problem 1 for different values of \(\Delta t\) with regular points
\(\Delta t\) | \(\Delta x =\Delta y = 1/10\) | Convergence rate | ||||
|---|---|---|---|---|---|---|
u | v | p | u | v | p | |
1/10 | 9.9638 × 10−5 | 9.9638 × 10−5 | 6.4379 × 10−4 | – | – | – |
1/12 | 8.1523 × 10−5 | 8.1523 × 10−5 | 5.9193 × 10−4 | 1.1006 | 1.1006 | 0.4606 |
1/15 | 6.3501 × 10−5 | 6.3501 × 10−5 | 5.3916 × 10−4 | 1.1196 | 1.1196 | 0.4185 |
1/17 | 5.5141 × 10−5 | 5.5141 × 10−5 | 5.1400 × 10−4 | 1.1278 | 1.1278 | 0.3818 |
1/20 | 4.5947 × 10−5 | 4.5947 × 10−5 | 4.8544 × 10−4 | 1.1224 | 1.1224 | 0.3518 |