title: Lattice Boltzmann method with restored Galilean invariance.
abstract: An isothermal model on the standard two-dimension nine-velocity lattice (D2Q9) is proposed and analyzed. It originates from the thermal model with energy conservation introduced by N. I. Prasianakis and I. V. Karlin [Phys. Rev. E 76, 016702 (2007)]. The isothermal and the thermal equivalent models are tested through the simulation of the decay of a shear wave and of a temperature wave. Both are shown to be Galilean invariant, reference temperature independent, and rotational isotropic through the measurement of the transport coefficients on a rotated moving frame of reference.
authors: Combustion Research, Paul Scherrer Intsitute, 5232 Villigen PSI, Switzerland. nikolaos.prasianakis@psi.ch
authors: N I
authors: NI
authors: Prasianakis
authors: I V
authors: IV
authors: Karlin
authors: J
authors: J
authors: Mantzaras
authors: K B
authors: KB
authors: Boulouchos