Direct Simulation Of Fluid-dynamics Sound By
The Finite Difference Lattice Boltzmann Method
Author(s)
M. Tsutahara, A. Tamura & K. Shikata
Abstract
A lattice Boltzmann model for a compressible fluid is stably calculated by the
finite difference scheme (FDLBM), and aerodynamic sound is directly
calculated. Aeolian tone and edge tone are successively obtained by the third-order
upwind scheme in space and the second order Runge Kutta technique. In
order to calculate sound emitted from moving body, the arbitrary Lagrangian
Eulerian (ALE) technique is also applied to the FDLBM and techniques for
connecting still mesh and moving mesh are presented. Sounds emitted by an
oscillating square cylinder and cube and also rapidly rotating elliptic cylinder are
successively simulated.
Keywords: lattice Boltzmann method, aero-acoustics, direct simulation of
sound.
1 Introduction
The Lattice Boltzmann method is now one of the powerful tools of
computational fluid dynamics, and applied mainly to complex fluid flows [1]-[
6]. But only a few applications for compressible flows have been reported [7]-[
9] because most models (lattice BGK models) are unstable in calculation. The
stable finite difference scheme can be applicable to discrete the BGK equation
and by these schemes the calculation becomes remarkably stable [10]-[12].
On the other hand, aero-acoustics is an important branch of the fluid
dynamics. But direct simulation of the sound waves is still a hard task for the
following reasons: (1) The sound pressure is much smaller (10-3 -10-4) than the
whole pressure variation and then adequate accuracy is necessary. (2) The
acoustic field spreads in a very large region and the load on computers is still
heavy. Now the direct simulation of sound waves on the basis of Navier-Stokes
Keywords
lattice Boltzmann method, aero-acoustics, direct simulation of
sound.
Related Book
Other papers in this volume
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