An attempt to calculate acoustic directivity using LBM

Chi Kin Randolph Leung, R. M.C. So, E. W.S. Kam, X. M. Li

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

2 Citations (Scopus)


A lattice Boltzmann method (LBM) that can recover the specific heat ratio, the sound speed and the first coefficient of viscosity correctly has been proposed for one-step aeroacoustic simulation because the method only involves the solution of one scalar equation and is relatively simple. The proposed LBM has been validated against direct numerical simulation (DNS) results obtained by solving the unsteady compressible Navier-Stokes equations using a finite difference scheme. The comparisons showed that the proposed LBM and the DNS give identical results on propagation of acoustic, entropy and vortex pulses. In order to demonstrate that the proposed LBM is truly applicable to one-step aeroacoustic problems, correct replication of the interaction between the aerodynamic and acoustic field has to be proven. The present paper reports on an attempt of this problem. The first step is to show that the LBM can simulate plane sinusoidal wave propagation in quiescent fluid and that the LBM result is truly isotropic with no distortion in sound propagation. The second step is to compute sound scattering of high frequency acoustics wave with length λ = 2 from a zero circulation vortex. The LBM result is compared with DNS simulations.
Original languageEnglish
Title of host publicationCollection of Technical Papers - 12th AIAA/CEAS Aeroacoustics Conference
Number of pages8
Publication statusPublished - 27 Dec 2006
Event12th AIAA/CEAS Aeroacoustics Conference - Cambridge, MA, United States
Duration: 8 May 200610 May 2006


Conference12th AIAA/CEAS Aeroacoustics Conference
Country/TerritoryUnited States
CityCambridge, MA

ASJC Scopus subject areas

  • Engineering(all)


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