Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [42 references]  Display  Hide  Download

https://hal.inria.fr/hal-01148397
Contributor : Florian Bernard <>
Submitted on : Monday, May 4, 2015 - 2:58:57 PM
Last modification on : Tuesday, June 25, 2019 - 1:25:48 AM
Long-term archiving on : Wednesday, April 19, 2017 - 2:48:57 PM

File

Euler-AP_V2.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Florian Bernard, Angelo Iollo, Gabriella Puppo. Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids. Journal of Scientific Computing, Springer Verlag, 2015, pp.34. ⟨10.1007/s10915-015-9984-8⟩. ⟨hal-01148397⟩

Share

Metrics

Record views

443

Files downloads

690