From: The Euler implicit/explicit scheme for the Boussinesq equations
Δ t | \(\boldsymbol {\frac{\|u-u^{n}\|_{0}}{\|u\|_{0}}}\) | \(\boldsymbol {\frac{\|\nabla(u-u^{n})\|_{0}}{\|\nabla u\|_{0}}}\) | \(\boldsymbol {\frac{\|p-p^{n}\|_{0}}{\|p\|_{0}}}\) | \(\boldsymbol {\frac{\|\theta-\theta^{n}\|_{0}}{\|\theta\|_{0}}}\) | \(\boldsymbol {\frac{\|\nabla(\theta-\theta^{n})\|_{0}}{\|\nabla\theta\|_{0}}}\) | CPU(S) |
---|---|---|---|---|---|---|
0.1 | 0.000171956 | 0.0127757 | 0.00415879 | 0.000115897 | 0.0104146 | 189.625 |
0.05 | 0.000162403 | 0.0127748 | 0.00416427 | 0.000107522 | 0.0104136 | 306.596 |
0.025 | 0.00015784 | 0.0127745 | 0.00416706 | 0.000103686 | 0.0104134 | 476.16 |
0.0125 | 0.000155623 | 0.0127744 | 0.0041685 | 0.000101859 | 0.0104133 | 965.143 |
0.00625 | 0.000154529 | 0.0127744 | 0.00416949 | 0.000100969 | 0.0104133 | 1,807.32 |