Table 7 Example 4. L∞ errors and numerical orders of temporal accuracy obtained with the GSA IMEX-ARS3 WCNS at t=0.02
From: High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system
M×N | ε=0.01 | ε=0.1 | ε=1 | |||
|---|---|---|---|---|---|---|
|  | L∞ error | Order | L∞ error | Order | L∞ error | Order |
40×40 | 2.08E−03 |  | 2.10E−03 |  | 2.24E−03 |  |
80×80 | 8.02E−04 | 1.37 | 7.98E−04 | 1.40 | 7.76E−04 | 1.53 |
160×160 | 3.01E−04 | 1.42 | 3.02E−04 | 1.40 | 3.02E−04 | 1.36 |
320×320 | 5.64E−05 | 2.41 | 5.76E−05 | 2.39 | 6.53E−05 | 2.21 |
640×640 | 8.36E−06 | 2.76 | 8.35E−06 | 2.79 | 8.36E−06 | 2.96 |