TY - JOUR
T1 - Numerical analysis of the lattice Boltzmann method for simulation of linear acoustic waves
AU - Dhuri, Dattaraj B.
AU - Hanasoge, Shravan M.
AU - Perlekar, Prasad
AU - Robertsson, Johan O.A.
N1 - Funding Information:
We would like to thank Tata Institute of Fundamental Research (TIFR), Mumbai, India for their support and the use of the SEISMO computer cluster which was used to perform the calculations presented here. S.M.H. acknowledges support from Ramanujan Fellowship SB/S2/RJN-73 2013, the Max-Planck Partner Group Program, and the NYUAD Center for Space Science.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/4/21
Y1 - 2017/4/21
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.95.043306
DO - 10.1103/PhysRevE.95.043306
M3 - Article
C2 - 28505847
AN - SCOPUS:85018601095
SN - 1063-651X
VL - 95
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 043306
ER -