Two-dimensional Multiple-Relaxation-Time Lattice Boltzmann model for compressible and incompressible flows

Abstract

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett., 2010, 90: 54003] so that it is suitable also for incompressible flows. To decrease the artificial oscillations, the convection term is discretized by the flux limiter scheme with splitting technique. A new model is validated by some well-known benchmark tests, including Riemann problem and Couette flow, and satisfying agreements are obtained between the simulation results and analytical ones. In order to show the merit of LB model over traditional methods, the non-equilibrium characteristics of system are solved. The simulation results are consistent with the physical analysis.

Graphical abstract

Keywords

lattice Boltzmann method / multiple-relaxation-time / flux limiter technique / Prandtl numbers effect / non-equilibrium characteristic

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