Reply to “Comment on ‘Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation’ ”

T. Reis and T. N. Phillips
Phys. Rev. E 78, 068702 – Published 11 December 2008

Abstract

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 [T. Reis and T. N. Phillips, Phys. Rev. E 77, 026702 (2008)] 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.

  • Received 4 July 2008

DOI:https://doi.org/10.1103/PhysRevE.78.068702

©2008 American Physical Society

Authors & Affiliations

T. Reis

  • Department of Mathematics, University College, London, WC1E 6BT, United Kingdom

T. N. Phillips

  • School of Mathematics, Cardiff University, Cardiff, CF24 4AG, United Kingdom

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Vol. 78, Iss. 6 — December 2008

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