Hybrid Kinetic/Fluid numerical method for ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Hybrid Kinetic/Fluid numerical method for the Vlasov-BGK equation in the diffusive scaling
Auteur(s) :
Laidin, Tino [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Titre de la revue :
Kinetic and Related Models
Pagination :
913-947
Éditeur :
AIMS
Date de publication :
2023
ISSN :
1937-5093
Mot(s)-clé(s) en anglais :
Kinetic equations
Diffusion scaling
Asymptotic preserving scheme
Micro-macro decomposition
Hybrid solver
Diffusion scaling
Asymptotic preserving scheme
Micro-macro decomposition
Hybrid solver
Discipline(s) HAL :
Mathématiques [math]/Analyse numérique [math.NA]
Résumé en anglais : [en]
This work presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic equations by taking advantage of the lower ...
Lire la suite >This work presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic equations by taking advantage of the lower dimensionality of the asymptotic fluid model while reducing the error induced by the latter approach. It relies on two criteria motivated by a perturbative approach to obtain a dynamic domain adaptation. The first criterion quantifies distance between a local equilibrium in velocity and the distribution function of particles. The second one depends only on the macroscopic quantities that are available on the whole computing domain. A key idea is the use of a micro-macro decomposition to deal with interface conditions. The method is significantly more efficient than a standard full kinetic approach. Some properties, such as the conservation of mass, are also investigated and illustrated through various examples.Lire moins >
Lire la suite >This work presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic equations by taking advantage of the lower dimensionality of the asymptotic fluid model while reducing the error induced by the latter approach. It relies on two criteria motivated by a perturbative approach to obtain a dynamic domain adaptation. The first criterion quantifies distance between a local equilibrium in velocity and the distribution function of particles. The second one depends only on the macroscopic quantities that are available on the whole computing domain. A key idea is the use of a micro-macro decomposition to deal with interface conditions. The method is significantly more efficient than a standard full kinetic approach. Some properties, such as the conservation of mass, are also investigated and illustrated through various examples.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
Commentaire :
31 pages, 20 figures, 6 Tables
Collections :
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