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

Hudong Chen, Pradeep Gopalakrishnan () and Raoyang Zhang
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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

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 10, 1-14

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.

Keywords: Lattice Boltzmann methods; thermohydrodynamics; Prandtl number (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500466

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