Research Article
High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems
Table 4
Number of multigrid V(2,2) iterations and CPU time of the CDS and the FOC scheme for Problem 1.
| Re | =1/64 | =1/128 | =1/256 | CDS | FOC | CDS | FOC | CDS | FOC | Num | CPU | Num | CPU | Num | CPU | Num | CPU | Num | CPU | Num | CPU |
| 1 | 9 | 0.17 | 7 | 0.18 | 9 | 0.42 | 7 | 0.45 | 9 | 1.56 | 7 | 1.61 | 10 | 9 | 0.17 | 7 | 0.17 | 9 | 0.42 | 7 | 0.43 | 9 | 1.56 | 7 | 1.59 | 102 | 8 | 0.15 | 8 | 0.17 | 8 | 0.39 | 8 | 0.48 | 8 | 1.42 | 7 | 1.61 | 103 | - | - | 9 | 0.18 | - | - | 8 | 0.48 | - | - | 8 | 1.77 | 104 | - | - | 22 | 0.28 | - | - | 24 | 1.03 | - | - | 20 | 3.56 | 105 | - | - | 136 | 1.14 | - | - | 115 | 4.11 | - | - | 103 | 15.98 | 106 | - | - | 177 | 1.45 | - | - | 583 | 19.94 | - | - | 955 | 134.2 |
|
|
Note: - indicates divergence, etc.
|