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

摘要

We analyse a linear lattice Boltzmann (LB) formulation for simulation oflinear acoustic wave propagation in heterogeneous media. We employ thesingle-relaxation-time Bhatnagar-Gross-Krook (BGK) as well as the generalmulti-relaxation-time (MRT) collision operators. By calculating the dispersionrelation for various 2D lattices, we show that the D2Q5 lattice is the mostsuitable model for the linear acoustic problem. We also implement agrid-refinement algorithm for the LB scheme to simulate waves propagating in aheterogeneous medium with velocity contrasts. Our results show that the LBscheme performance is comparable to the classical second-orderfinite-difference schemes. Given its efficiency for parallel computation, theLB method can be a cost effective tool for the simulation of linear acousticwaves in complex geometries and multiphase media.