Table 2 Example 1. L1 errors and numerical orders of temporal accuracy obtained with the GSA IMEX-ARS3 WCNS at t=0.1
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 |
40 | 4.68E−03 |  | 2.59E−05 |  | 2.18E−04 |  |
80 | 1.63E−03 | 1.52 | 3.19E−06 | 3.02 | 1.18E−05 | 4.22 |
160 | 2.79E−04 | 2.55 | 4.00E−07 | 2.99 | 5.48E−07 | 4.42 |
320 | 3.88E−05 | 2.85 | 5.02E−08 | 3.00 | 1.80E−08 | 4.93 |
640 | 4.94E−06 | 2.97 | 6.34E−09 | 2.98 | 1.40E−09 | 3.69 |