Galilean invariance of lattice Boltzmann models

Abstract

It is well-known that the original lattice Boltzmann (LB) equation deviates from the Navier-Stokes equations due to an unphysical velocity dependent viscosity. This unphysical dependency violates the Galilean invariance and limits the validation domain of the LB method to near incompressible flows. As previously shown, recovery of correct transport phenomena in kinetic equations depends on the higher hydrodynamic moments. In this Letter, we give specific criteria for recovery of various transport coefficients. The Galilean invariance of a general class of LB models is demonstrated via numerical experiments.

References in corpus (3)

• Generalized Lattice Boltzmann Method with multi-range pseudo-potential
• Discretization of the velocity space in solution of the Boltzmann equation
• Minimal entropic kinetic models for simulating hydrodynamics

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