Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Asymptotic Analysis Année : 2022

Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes

Résumé

We propose a formal expansion of multiple relaxation times lattice Boltzmann schemes in terms of a single infinitesimal numerical variable. The result is a system of partial differential equations for the conserved moments of the lattice Boltzmann scheme. The expansion is presented in the nonlinear case up to fourth order accuracy. The asymptotic corrections of the nonconserved moments are developed in terms of equilibrium values and partial differentials of the conserved moments. Both expansions are coupled and conduct to explicit compact formulas. The new algebraic expressions are validated with previous results obtained with this approach. The example of isothermal D2Q9 lattice Boltzmann scheme illustrates the theoretical framework.
Fichier principal
Vignette du fichier
Dubois-HAL-14janvier2021.pdf (460.73 Ko) Télécharger le fichier

Dates et versions

hal-02081116 , version 1 (27-03-2019)
hal-02081116 , version 2 (14-01-2021)

Identifiants

Citer

François Dubois. Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes. Asymptotic Analysis, 2022, 127 (4), pp.297-337. ⟨10.3233/ASY-211692⟩. ⟨hal-02081116v2⟩
157 Consultations
141 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More