Dhuri Dattaraj B, Hanasoge Shravan M, Perlekar Prasad, Robertsson Johan O A
Tata Institute of Fundamental Research (TIFR), Mumbai, India.
TIFR Centre For Interdisciplinary Sciences, Hyderabad, India.
Phys Rev E. 2017 Apr;95(4-1):043306. doi: 10.1103/PhysRevE.95.043306. Epub 2017 Apr 21.
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.
我们分析了一种用于模拟非均匀介质中线性声波传播的线性格子玻尔兹曼（LB）公式。我们采用了单弛豫时间的 Bhatnagar-Gross-Krook 以及一般的多弛豫时间碰撞算子。通过计算各种二维格子的色散关系，我们表明 D2Q5 格子是线性声学问题最合适的模型。我们还为 LB 格式实现了一种网格细化算法，以模拟在具有速度对比度的非均匀介质中传播的波。我们的结果表明，LB 格式的性能与经典的二阶有限差分格式相当。鉴于其在并行计算方面的效率，LB 方法可以成为模拟复杂几何形状和多相介质中线性声波的一种经济高效的工具。
