Development of Lattice Boltzmann Method for Compressible Flows

Abstract

In a summary, a simple, general and flexible methodology is developed to construct a Boltzmann model and its associated equilibrium distribution functions for compressible flows. Numerical experiments show that the proposed model can well and accurately simulate compressible flows with Mach number as high as 10. A LBM based flux vector splitting scheme was developed to solve Euler equations. It is believed that this work is a breakthrough in LBM simulation of compressible flows.