Journal of Applied Mathematics / 2012 / Article / Tab 3 / Research Article
The Technique of MIEELDLD in Computational Aeroacoustics Table 3 Comparing the dispersive and group velocity properties for two spatial methods ZINGG and ZINGG-NEW in terms of number of points per wavelength (to 4 d.p).
Accuracy Method Max. value of
𝜃
ℎ
No. of pts per wavelength
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
3
ZINGG 1.2239
5.1339
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
3
ZINGG-NEW 1.2579
5.1258
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
ZINGG 0.9163
6.8575
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
ZINGG-NEW 0.9988
6.2904
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
ZINGG
0.7885
7.9686
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
ZINGG-NEW
0.8471
7.4176
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
ZINGG
0.6200
10.1341
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
ZINGG-NEW
0.7379
8.5152