Addressing the gas kinetics Boltzmann equation with branching-path statistics - IMT Mines Albi-Carmaux Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2022

Addressing the gas kinetics Boltzmann equation with branching-path statistics

Résumé

This article proposes a statistical numerical method to address gas kinetics problems obeying the Boltzmann equation. This method is inspired by Monte Carlo algorithms used in linear transport physics, where virtual particles are followed backwards in time along their paths. The nonlinear character of gas kinetics translates, in the numerical simulations presented here, into branchings of the virtual particle paths. The obtained algorithms have displayed in the few tests presented here two noticeable qualities: (1) they involve no mesh and (2) they allow one to easily compute the gas density at rarefied places of the phase space, for example, at high kinetic energy.
Fichier principal
Vignette du fichier
Article_pre.pdf (769.9 Ko) Télécharger le fichier
Addressing-the-gas-kinetics-Boltzmann-equation-with-branching-path-statistics.zip (2.67 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03563357 , version 1 (14-03-2022)

Identifiants

Citer

Guillaume Terrée, Mouna El-Hafi, Stéphane Blanco, Richard Fournier, Jérémi Dauchet, et al.. Addressing the gas kinetics Boltzmann equation with branching-path statistics. Physical Review E , 2022, 105 (2), pp.025305. ⟨10.1103/PhysRevE.105.025305⟩. ⟨hal-03563357⟩
133 Consultations
89 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More