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Table 1 1-D accuracy test: errors and convergence orders of 6th-order compact linear scheme with Δt=0.3Δx3/2

From: Compact higher-order gas-kinetic schemes with spectral-like resolution for compressible flow simulations

Mesh length

L1 error

Order

L2 error

Order

L∞ error

Order

1/5

1.761e-003

 

1.976e-003

 

2.721e-003

 

1/10

3.171e-005

5.80

3.527e-005

5.81

4.899e-005

5.80

1/20

5.017e-007

5.98

5.554e-007

5.99

7.803e-007

5.97

1/40

7.818e-009

6.00

8.676e-009

6.00

1.224e-008

5.99

1/80

1.220e-010

6.00

1.355e-010

6.00

1.915e-010

6.00