Table 5 Example 1. L∞ errors and numerical orders of spatial accuracy obtained with the GSA IMEX-ARS3 WCNS at t=0.05
From: High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system
N | ε=0.01 | ε=0.1 | ε=1 | |||
|---|---|---|---|---|---|---|
|  | L∞ error | Order | L∞ error | Order | L∞ error | Order |
20 | 8.70E−03 |  | 3.22E−04 |  | 4.49E−03 |  |
40 | 1.80E−04 | 5.59 | 1.30E−05 | 4.63 | 5.49E−04 | 3.03 |
80 | 2.83E−06 | 5.99 | 2.61E−07 | 5.64 | 6.68E−05 | 3.04 |
160 | 4.36E−08 | 6.02 | 9.34E−10 | 8.13 | 1.96E−06 | 5.09 |
320 | 6.59E−10 | 6.05 | 1.08E−10 | 3.11 | 2.44E−09 | 9.65 |