Journal of Applied Mathematics

Research Article

The Technique of MIEELDLD in Computational Aeroacoustics

Table 1

Comparing the dispersive and group velocity properties for two spatial discretisation methods β€œTAM” and β€œTAM-NEW” in terms of number of points per wavelength (to 4 d.p).
Accuracy Method Max. value of πœƒ β„Ž No. of pts per wavelength
| πœƒ βˆ— β„Ž βˆ’ πœƒ β„Ž | πœ‹ ≀ 5 Γ— 1 0 βˆ’ 3 TAM 1.3068 4.8081
| πœƒ βˆ— β„Ž βˆ’ πœƒ β„Ž | πœ‹ ≀ 5 Γ— 1 0 βˆ’ 3 TAM-NEW 1.2830 4.8974
| πœƒ βˆ— β„Ž βˆ’ πœƒ β„Ž | πœ‹ ≀ 5 Γ— 1 0 βˆ’ 4 TAM 1.0820 5.8073
| πœƒ βˆ— β„Ž βˆ’ πœƒ β„Ž | πœ‹ ≀ 5 Γ— 1 0 βˆ’ 4 TAM-NEW 1.0365 6.0617
| | | | 𝑑 𝑑 ( πœƒ β„Ž ) ( πœƒ βˆ— | | | | β„Ž ) βˆ’ 1 . 0 ≀ 5 Γ— 1 0 βˆ’ 3 TAM 0.9239 6.8007
| | | | 𝑑 𝑑 ( πœƒ β„Ž ) ( πœƒ βˆ— | | | | β„Ž ) βˆ’ 1 . 0 ≀ 5 Γ— 1 0 βˆ’ 3 TAM-NEW 0.8870 7.0835
| | | | 𝑑 𝑑 ( πœƒ β„Ž ) ( πœƒ βˆ— | | | | β„Ž ) βˆ’ 1 . 0 ≀ 5 Γ— 1 0 βˆ’ 4 TAM 0.8533 7.3636
| | | | 𝑑 𝑑 ( πœƒ β„Ž ) ( πœƒ βˆ— | | | | β„Ž ) βˆ’ 1 . 0 ≀ 5 Γ— 1 0 βˆ’ 4 TAM-NEW 0.8002 7.8517