Title: Direct simulations of cavity tones by the Finite Difference Lattice Boltzmann Method

Authors: Michihisa Tsutahara, Shinsuke Tajiri

Addresses: Graduate School of Engineering, Kobe University, 1-1 Rokko, Nada, Kobe 657-8501, Japan. ' Graduate School of Engineering, Kobe University, 1-1 Rokko, Nada, Kobe 657-8501, Japan

Abstract: We performed a direct simulation of two-dimensional cavity tone by the finite difference lattice Boltzmann method. The Mach number of the flow is 0.2, and the Reynolds number is 5.5 × 10⁸. Sound emission is simple-source like and the Doppler effect is detected. The frequency of the sound agrees with the theoretical estimation based on a very simple feedback system based on the interaction of vortex and edge. Positive pressure sound is simple. However, negative pressure sound has two modes due to interaction between vortex and edge and to the Helmholtz resonator mode.

Keywords: lattice Boltzmann method; LBM; aeroacoustics; cavity tones; fluid dynamics; finite difference method.

DOI: 10.1504/PCFD.2009.024819

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.3/4/5, pp.194 - 200

Published online: 01 May 2009 *

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