Journal of Applied Mathematics / 2012 / Article / Tab 5 / Research Article
The Technique of MIEELDLD in Computational Aeroacoustics Table 5 Comparing the dispersive and group velocity properties for two spatial methods BOGEY and BOGEY-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
BOGEY 1.4875
4.2240
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
3
BOGEY-NEW 1.5175
4.1405
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
BOGEY 1.6529
3.8013
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
BOGEY-NEW 1.6733
3.7550
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
BOGEY
1.0572
5.9433
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
BOGEY-NEW
1.0523
5.9710
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
BOGEY
0.8784
7.1533
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
BOGEY-NEW
0.9049
6.9437