Lattice Boltzmann modeling and simulation of compressible flows

Abstract

In this mini-review we summarize the progress of Lattice Boltzmann(LB) modeling and simulating compressible flows in our group in recentyears. Main contents include (i) Single-Relaxation-Time (SRT) LB modelsupplemented 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 thethird belongs to simulation or application. The SRT-LB model supplementedby 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. Itsignificantly extends the range of LB applications. The cost is longercomputational time. The developed SRT-LB and MRT-LB are complementaryfrom the sides of convenience and applicability.

Keywords

lattice Boltzmann modeling / compressible flows / shock waves / hydrodynamic instability

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