Ruofan Qiu , Yancheng You, Rongqian Chen, Chenxiang Zhu, Jianfeng Zhu

DOI Number XXX-YYY-ZZZ

Conference Number HiSST 2018_2760930

The lattice Boltzmann method, which is based on microscopic models and mesoscopic kinetic equations for particle distribution functions, has become a prominent tool in CFD. The 3D lattice Boltzmann method in the framework of coupled double-distribution-function approach for high-speed viscous flows, in which specific-heat ratio and Prandtl number can be adjustable, is developed and studied in this paper. Two types of equilibrium distribution functions are involved, which based on spherical function and Hermite basis, respectively. The two models are tested through numerical simulations of some typical compressible flows, and their numerical stability and precision are also analyzed. The results indicate that the two models are capable for high-speed flows, while the one based on Hermite expansions has numerical stability problem when dealing with compressible flows with shock waves. An artificial viscosity is introduced to enhance the latter model for capturing shock waves and the effect of artificial viscosity is estimated.

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