Lattice Boltzmann modeling and simulation of compressible flows

TL;DR

This paper reviews recent advances in Lattice Boltzmann modeling for compressible flows, focusing on single and multiple relaxation time models and their applications to hydrodynamic instabilities.

Contribution

It summarizes recent developments in LB models for compressible flows, highlighting the improvements and differences between SRT and MRT frameworks.

Findings

MRT-LB significantly extends application range

SRT-LB is easier for existing users

MRT-LB has higher computational cost

Abstract

In this mini-review we summarize the progress of Lattice Boltzmann(LB) modeling and simulating compressible flows in our group in recent years. Main contents include (i) Single-Relaxation-Time(SRT) LB model supplemented by additional viscosity, (ii) Multiple-Relaxation-Time(MRT) LB model, and (iii) LB study on hydrodynamic instabilities. The former two belong to improvements of physical modeling and the third belongs to simulation or application. The SRT-LB model supplemented by additional viscosity keeps the original framework of Lattice Bhatnagar-Gross-Krook (LBGK). So, it is easier and more convenient for previous SRT-LB users. The MRT-LB is a completely new framework for physical modeling. It significantly extends the range of LB applications. The cost is longer computational time. The developed SRT-LB and MRT-LB are complementary from the sides of convenience and applicability.