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Recovery of Galilean invariance in thermal lattice Boltzmann models for arbitrary Prandtl number

Author

Listed:
  • Hudong Chen

    (Exa Corporation, 55 Network Drive, Burlington, MA 01803, USA)

  • Pradeep Gopalakrishnan

    (Exa Corporation, 55 Network Drive, Burlington, MA 01803, USA)

  • Raoyang Zhang

    (Exa Corporation, 55 Network Drive, Burlington, MA 01803, USA)

Abstract

In this paper, we demonstrate a set of fundamental conditions required for the formulation of a thermohydrodynamic lattice Boltzmann model at an arbitrary Prandtl number. A specific collision operator form is then proposed that is in compliance with these conditions. It admits two independent relaxation times, one for viscosity and another for thermal conductivity. But more importantly, the resulting thermohydrodynamic equations based on such a collision operator form is theoretically shown to remove the well-known non-Galilean invariant artifact at nonunity Prandtl numbers in previous thermal lattice Boltzmann models with multiple relaxation times.

Suggested Citation

  • Hudong Chen & Pradeep Gopalakrishnan & Raoyang Zhang, 2014. "Recovery of Galilean invariance in thermal lattice Boltzmann models for arbitrary Prandtl number," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(10), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:10:n:s0129183114500466
    DOI: 10.1142/S0129183114500466
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