Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids
BERNARD, Florian
Institut de Mathématiques de Bordeaux [IMB]
Politecnico di Torino = Polytechnic of Turin [Polito]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Politecnico di Torino = Polytechnic of Turin [Polito]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
BERNARD, Florian
Institut de Mathématiques de Bordeaux [IMB]
Politecnico di Torino = Polytechnic of Turin [Polito]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Politecnico di Torino = Polytechnic of Turin [Polito]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Langue
en
Article de revue
Ce document a été publié dans
Journal of Scientific Computing. 2015p. 34
Springer Verlag
Résumé en anglais
A simple second-order scheme on Cartesian grids for kinetic equations is presented, with emphasis on the accurate enforcement of wall boundary conditions on immersed bodies. This approach preserves at the discrete level ...Lire la suite >
A simple second-order scheme on Cartesian grids for kinetic equations is presented, with emphasis on the accurate enforcement of wall boundary conditions on immersed bodies. This approach preserves at the discrete level the asymptotic limit towards Euler equations up to the wall, thus ensuring a smooth transition towards the hydrodynamic regime. We investigate exact, numerical and experimental test cases for the BGK model in order to assess the accuracy of the method.< Réduire
Mots clés en anglais
BGK model
Asymptotic preserving schemes
Cartesian grid
Boltzmann equation
Origine
Importé de halUnités de recherche