The Technique of MIEELDLD in Computational Aeroacoustics

Table 4

Comparing the dispersive and group velocity properties for two spatial methods ZHUANG and ZHUANG-NEW in terms of number of points per wavelength (to 4 d.p).

Accuracy	Method	Max. value of 𝜃ℎ	No. of pts per wavelength
|𝜃^∗ℎ−𝜃ℎ|𝜋≤5×10^−3	ZHUANG	1.6755	3.7501
|𝜃^∗ℎ−𝜃ℎ|𝜋≤5×10^−3	ZHUANG-NEW	1.6957	3.7175
|𝜃^∗ℎ−𝜃ℎ|𝜋≤5×10^−4	ZHUANG	1.3315	4.7190
|𝜃^∗ℎ−𝜃ℎ|𝜋≤5×10^−4	ZHUANG-NEW	1.1417	5.5030
||||𝑑𝑑(𝜃ℎ)(𝜃^∗ℎ)−1.0||||≤5×10^−3	ZHUANG	1.0484	5.9932
||||𝑑𝑑(𝜃ℎ)(𝜃^∗ℎ)−1.0||||≤5×10^−3	ZHUANG-NEW	0.9620	6.3865
||||𝑑𝑑(𝜃ℎ)(𝜃^∗ℎ)−1.0||||≤5×10^−4	ZHUANG	0.9029	6.9593
||||𝑑𝑑(𝜃ℎ)(𝜃^∗ℎ)−1.0||||≤5×10^−4	ZHUANG-NEW	0.8052	7.5176