Comment on "Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation".
Recently Reis and Phillips [Phys. Rev. E 77, 026702 (2008)] proposed a perturbative method to solve the dispersion equation derived from the linearized lattice Boltzmann equation. We will demonstrate that the method proposed by Reis and Phillips is a reinvention of an existing method. We would also like to refute a number of claims made by Reis and Phillips.
Lallemand
Pierre
P
54 rue Henri Barbusse, 75005 Paris Cedex, France. pierre.lal@free.fr
Luo
Li-Shi
LS