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Journal of Applied Mathematics
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Journal of Applied Mathematics
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2012
/
Article
/
Tab 6
/
Research Article
The Technique of MIEELDLD in Computational Aeroacoustics
Table 6
Comparing the dispersive properties for two temporal discretisation methods TAM and TAM-MODIFIED in terms of number of points per wavelength (to 4 d.p).
Method
Accuracy
Max. value of
𝜔
𝑘
No. of pts per wavelength
TAM
|
ℜ
(
𝜛
𝑘
)
−
𝜔
𝑘
|
𝜋
≤
5
×
1
0
−
3
0.5913
10.6267
TAM-MODIFIED
|
ℜ
(
𝜛
𝑘
)
−
𝜔
𝑘
|
𝜋
≤
5
×
1
0
−
3
0.6280
10.0050
TAM
|
ℜ
(
𝜛
𝑘
)
−
𝜔
𝑘
|
𝜋
≤
5
×
1
0
−
4
0.3461
18.1565
TAM-MODIFIED
|
ℜ
(
𝜛
𝑘
)
−
𝜔
𝑘
|
𝜋
≤
5
×
1
0
−
4
0.3570
17.6002