Reply to "Comment on 'Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation' "

In this reply to the comment by Lallemand and Luo, we defend our assertion that the alternative approach for the solution of the dispersion relation for a generalized lattice Boltzmann dispersion equation is mathematically transparent, elegant, and easily justified. Furthermore, the rigorous perturbation analysis used by Reis and Phillips does not require the reciprocals of the relaxation parameters to be small. © 2008 The American Physical Society