Complete Galilean-invariant lattice BGK models for the Navier-Stokes equation
Department of Applied Physics and Applied Mathematics,
Columbia University, New York, NY 10027, USA
2 IBM Research Division, T.J. Watson Research Center, P.O.Box 218, Yorktown Heights, NY 10598, USA and Institute for Computer Applications in Science & Engineering, NASA Langley Research Center - Hampton, VA 23681, USA
Accepted: 19 March 1998
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 () and two dimensions () for the Navier-Stokes equation have been obtained.
PACS: 02.60.Cb – Numerical simulation; solution of equations / 51.10.+y – Kinetic and transport theory of gases
© EDP Sciences, 1998