Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries

We present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a particular attention to the numerical boundary conditions in order to preserve the rate of convergence of the method. Most o...

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Published in:arXiv.org 2020-03
Main Authors: Baranger, Céline, Hérouard, Nicolas, Mathiaud, Julien, Mieussens, Luc
Format: Article
Language:English
Subjects:
Boundary conditions
Computer simulation
Couette flow
Finite volume method
Galerkin method
Rarefied gas dynamics
Rarefied gases
Two dimensional flow
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Hérouard, Nicolas
Mathiaud, Julien
Mieussens, Luc
description We present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a particular attention to the numerical boundary conditions in order to preserve the rate of convergence of the method. Most of our analysis relies on a 1D problem (Couette flow), but we also present some results for a 2D aerodynamical flow.
doi_str_mv 10.48550/arxiv.2003.05677
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subjects Boundary conditions
Computer simulation
Couette flow
Finite volume method
Galerkin method
Rarefied gas dynamics
Rarefied gases
Two dimensional flow
title Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries
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