A multiple-relaxation-time lattice Boltzmann method for high-speed compressible flows

作者：Li Kai; Zhong Cheng-Wen^*

来源：Chinese Physics B, 2015, 24(5): 050501.

DOI：10.1088/1674-1056/24/5/050501

• lattice Boltzmann method
• multi-relaxation-time
• compressible flow
• finite volume method

This paper presents a coupling compressible model of the lattice Boltzmann method. In this model, the multiple-relaxation-time lattice Boltzmann scheme is used for the evolution of density distribution functions, whereas the modified single-relaxation-time (SRT) lattice Boltzmann scheme is applied for the evolution of potential energy distribution functions. The governing equations are discretized with the third-order Monotone Upwind Schemes for scalar conservation laws finite volume scheme. The choice of relaxation coefficients is discussed simply. Through the numerical simulations, it is found that compressible flows with strong shocks can be well simulated by present model. The numerical results agree well with the reference results and are better than that of the SRT version.

• 出版日期2015-5
• 单位西北工业大学