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Simulating high-Mach-number compressible flows with shock waves via Hermite-expansion-based lattice Boltzmann method

Author

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  • Liu, Qing
  • Feng, Xiang-Bo
  • Lu, Cai-Wu

Abstract

In this paper, high-Mach-number compressible flows with shock waves are successfully simulated by Hermite-expansion-based lattice Boltzmann (LB) method proposed in the framework of the double-distribution-function approach. In the method, the discrete equilibrium distribution functions are obtained from the Hermite expansions of the continuous equilibrium distribution functions, and the discrete velocity sets are obtained by choosing the abscissas of suitable Gauss–Hermite quadratures with sufficient accuracy. Numerical simulations are carried out for some high-Mach-number compressible flows with shock waves in one and two dimensions. The numerical results are found to be in good agreement with the analytical solutions and/or other numerical results reported in the literature. The complex flow structures such as the contact discontinuities and interactions between the shock waves are well captured by the Hermite-expansion-based LB method.

Suggested Citation

  • Liu, Qing & Feng, Xiang-Bo & Lu, Cai-Wu, 2019. "Simulating high-Mach-number compressible flows with shock waves via Hermite-expansion-based lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311951
    DOI: 10.1016/j.physa.2019.122062
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