Journal of Applied Mathematics / 2012 / Article / Tab 2 / Research Article
The Technique of MIEELDLD in Computational Aeroacoustics Table 2 Comparing the dispersive and group velocity properties for two spatial methods LOCKARD and LOCKARD-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
LOCKARD 1.4910
4.2140
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
3
LOCKARD-NEW 1.5197
4.1344
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
LOCKARD 1.2204
5.1485
|
𝜃
∗
ℎ
−
𝜃
ℎ
|
𝜋
≤
5
×
1
0
−
4
LOCKARD-NEW 1.2596
4.9881
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
LOCKARD
1.0964
5.7309
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
3
LOCKARD-NEW
1.1395
5.5142
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
LOCKARD
0.9655
6.5077
|
|
|
|
𝑑
𝑑
(
𝜃
ℎ
)
(
𝜃
∗
|
|
|
|
ℎ
)
−
1
.
0
≤
5
×
1
0
−
4
LOCKARD-NEW
1.0240
6.1359