Open AccessComplete Galilean-invariant lattice BGK models for the Navier-Stokes equation
Author(s) -
Yifang Qian,
Ye Zhou
Publication year - 1998
Publication title -
europhysics letters (epl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.625
H-Index - 165
eISSN - 1286-4854
pISSN - 0295-5075
DOI - 10.1209/epl/i1998-00255-3
Subject(s) - galilean , galilean invariance , nonlinear system , lattice (music) , invariant (physics) , advection , galilean transformation , mathematics , mathematical physics , mathematical analysis , nonlinear model , physics , statistical physics , classical mechanics , quantum mechanics , acoustics
Galilean invariance has been an important issue in lattice-based hydrodynamics models. Previous models concentrated on the nonlinear advection term. In this paper, we take into account the nonlinear response effect in a systematic way. Using the Chapman-Enskog expansion up to second order, complete Galilean invariant lattice BGK models in one dimension (=3$) and two dimensions (=1$) for the Navier-Stokes equation have been obtained.
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