Title: On numerical reflected waves in lattice Boltzmann schemes

Authors: M.M. Tekitek, M. Bouzidi, F. Dubois, P. Lallemand

Addresses: Laboratoire de Mathematiques, Universite Paris Sud, Bat. 425, 91405 Orsay Cedex, France. ' Universite Clermont 2, I.U.T., Ave. A. Briand 03107, Montlucon Cedex, France. ' CNAM, 292, rue Saint-Martin, 75141 Paris, France. ' Laboratoire ASCI, Universite Paris Sud, Batiment 506, 91405 Orsay Cedex, France

Abstract: In this contribution, we study the transmission of a one dimensional acoustic wave between two fluid media with the classical lattice Boltzmann scheme. The two media have the same hydrodynamic equations but different equilibrium distributions. We take here the case where the incident wave is normal to the interface. The theoretical modal study of this problem shows the presence of a reflected wave and Knudsen modes localised at the interface. This analysis leads to results in good agreement with numerical simulations.

Keywords: lattice Boltzmann method; acoustic propagation; acoustic reflection; numerical reflected waves; hydrodynamic equations; equilibrium distributions; Knudsen modes.

DOI: 10.1504/PCFD.2008.018078

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.49 - 55

Available online: 30 Apr 2008 *

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