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

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

Reis, T. ORCID: 0000-0003-2671-416X and Phillips, T. N. (2008) Reply to "comment on 'Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation'". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78 (6):068702. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:https://doi.org/10.1103/PhysRevE.78.068702)

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Abstract

n 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.

Item Type: Article
Uncontrolled Keywords: generalised lattice Boltzmann, dispersion relation
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 13 Apr 2019 00:58
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/23351

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