Fast Evaluations of Integrals in the Ffowcs Williams-Hawkings Formulation in Aeroacoustics via the Fast Multipole Method

Zhang, Yadong1,2; Liu, Yijun1

2023-09-01

10.3390/acoustics5030048

ACOUSTICS   Impact Factor & Quartile

2624-599X

A new approach to accelerating the evaluation of monopole and dipole source integrals via the fast multipole method (FMM) in the time domain for general three-dimensional (3-D) aeroacoustic problems is presented in this paper. In this approach, the aeroacoustic field is predicted via a hybrid method that uses computational fluid dynamics (CFD) for near-field flow field calculations and the Ffowcs Williams-Hawkings (FW-H) acoustic analogy for far-field sound field predictions. The evaluation of the surface integrals of the monopole and dipole source terms appearing in the FW-H formulation is accelerated by a 3-D FMM to reduce computational cost. The proposed method is referred to as Fast FW-H in this work. The performance and efficiency of the proposed methodology are demonstrated using several examples. First, aeroacoustic predictions for the cases of a stationary acoustic monopole, moving acoustic monopole and stationary acoustic dipole in a uniform flow are studied, generally showing good agreement with the analytical solutions. Second, the sound field radiating from a flow passing a finite-length circular cylinder and the propeller of an unmanned aerial vehicle (UAV) during forward flight are studied, and the computed results obtained via the FW-H and Fast FW-H methods in the time domain with a stationary, permeable surface are compared. The overall computational efficiency of the sound field solutions obtained via the Fast FW-H method is found to be approximately two times faster than the computational efficiency of the original FW-H method, indicating that this proposed approach can be an accurate and efficient computational tool for modelling far-field aeroacoustic problems.

acoustic analogy aeroacoustic Ffowcs Williams-Hawkings equation fast multipole method

ESCI

English

First ; Corresponding

National Natural Science Foundation of China[11972179] ; Guangdong Basic and Applied Basic Research Foundation[2019A1515111005]

Acoustics

Acoustics

WOS:001072465700001

MDPI

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.BYD Auto Ind Co Ltd, Shenzhen 518118, Peoples R China

Zhang, Yadong,Liu, Yijun. Fast Evaluations of Integrals in the Ffowcs Williams-Hawkings Formulation in Aeroacoustics via the Fast Multipole Method[J]. ACOUSTICS,2023,5(3).

Zhang, Yadong,&Liu, Yijun.(2023).Fast Evaluations of Integrals in the Ffowcs Williams-Hawkings Formulation in Aeroacoustics via the Fast Multipole Method.ACOUSTICS,5(3).

Zhang, Yadong,et al."Fast Evaluations of Integrals in the Ffowcs Williams-Hawkings Formulation in Aeroacoustics via the Fast Multipole Method".ACOUSTICS 5.3(2023).