Lattice Boltzmann method with restored Galilean invariance.
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.
Prasianakis
N I
NI
Combustion Research, Paul Scherrer Intsitute, 5232 Villigen PSI, Switzerland. nikolaos.prasianakis@psi.ch
Karlin
I V
IV
Mantzaras
J
J
Boulouchos
K B
KB