Scheme

Upper limits of wave number

k_r < 2%

$\left|1-k_i/\alpha \right|<2\%$

5th-order upwind compact

1.35

1.71

3rd-order upwind compact

0.91

1.61

5th-order upwind

1.08

1.25

3rd-order upwind

0.72

0.902