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Table 4 Example 1. L1 errors and numerical orders of temporal accuracy obtained with the SA 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

 

L1 error

Order

L1 error

Order

L1 error

Order

40

4.87E−03

 

3.10E−05

 

1.05E−04

 

80

1.79E−03

1.45

3.94E−06

2.98

8.36E−06

3.65

160

3.29E−04

2.44

4.86E−07

3.02

4.77E−07

4.13

320

4.73E−05

2.80

6.08E−08

3.00

5.39E−09

6.47

640

6.10E−06

2.95

7.53E−09

3.01

1.27E−10

5.41