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Advances in Aerodynamics

Table 8 Example 4. L1 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

 

L1 error

Order

L1 error

Order

L1 error

Order

40×40

1.08E−04

 

1.15E−04

 

9.39E−05

 

80×80

2.31E−05

2.23

2.51E−05

2.20

2.13E−05

2.14

160×160

4.04E−06

2.51

4.17E−06

2.59

4.10E−06

2.38

320×320

3.87E−07

3.38

3.93E−07

3.41

4.04E−07

3.34

640×640

4.10E−08

3.24

4.12E−08

3.25

6.37E−08

2.66

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