Numerical analysis of the lattice Boltzmann method for simulation of linear acoustic waves

Dattaraj B. Dhuri, Shravan Hanasoge, Prasad Perlekar, Johan O.A. Robertsson

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Abstract

We analyze a linear lattice Boltzmann (LB) formulation for simulation of linear acoustic wave propagation in heterogeneous media. We employ the single-relaxation-time Bhatnagar-Gross-Krook as well as the general multirelaxation-time collision operators. By calculating the dispersion relation for various 2D lattices, we show that the D2Q5 lattice is the most suitable model for the linear acoustic problem. We also implement a grid-refinement algorithm for the LB scheme to simulate waves propagating in a heterogeneous medium with velocity contrasts. Our results show that the LB scheme performance is comparable to the classical second-order finite-difference schemes. Given its efficiency for parallel computation, the LB method can be a cost effective tool for the simulation of linear acoustic waves in complex geometries and multiphase media.

Original languageEnglish (US)
Article number043306
JournalPhysical Review E
Volume95
Issue number4
DOIs
Publication statusPublished - Apr 21 2017

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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