Table 6 Example 1. L1 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 | |||
|---|---|---|---|---|---|---|
| Â | L1 error | Order | L1 error | Order | L1 error | Order |
20 | 5.58E−04 |  | 4.21E−05 |  | 1.10E−03 |  |
40 | 3.13E−05 | 4.16 | 6.63E−07 | 5.99 | 1.29E−05 | 6.42 |
80 | 4.57E−06 | 2.78 | 5.99E−09 | 6.79 | 1.13E−07 | 6.83 |
160 | 9.96E−08 | 5.52 | 9.91E−12 | 9.24 | 8.92E−10 | 6.98 |
320 | 5.53E−11 | 10.81 | 9.86E−13 | 3.33 | 5.42E−12 | 7.36 |