Table 1 L1 error and convergence order of u for the periodic wave problem at final time t=2 with the methods GRP2D, RK2 and GRP1D
From: Two-stage fourth order: temporal-spatial coupling in computational fluid dynamics (CFD)
N | GRP2D | RK2 | GRP1D | |||
|---|---|---|---|---|---|---|
L1 error | order | L1 error | order | L1 error | order | |
40 | 4.54E-2 | 1.38E-1 | 4.16E-1 | |||
80 | 7.32E-3 | 2.63 | 3.55E-2 | 1.96 | 2.25E-1 | 0.89 |
160 | 1.33E-3 | 2.46 | 8.96E-3 | 1.99 | 1.17E-1 | 0.94 |
320 | 2.81E-4 | 2.25 | 2.25E-3 | 2.00 | 6.66E-2 | 0.81 |
640 | 6.53E-5 | 2.10 | 5.62E-4 | 2.00 | 1.88E-1 | −1.50 |