A simple second-order scheme on Cartesian grids for kinetic equations is presented, with emphasis on the accurate enforcement of wall boundary con- ditions 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.

Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids

PUPPO, GABRIELLA ANNA
2015

Abstract

A simple second-order scheme on Cartesian grids for kinetic equations is presented, with emphasis on the accurate enforcement of wall boundary con- ditions 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.
http://www.kluweronline.com/issn/0885-7474
Asymptotic preserving schemes; BGK model; Boltzmann equation; Cartesian grid; Software; Computational Theory and Mathematics; Theoretical Computer Science; Engineering (all)
Bernard, Florian; Iollo, Angelo; Puppo, GABRIELLA ANNA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/2024825
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