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arXiv · 2003.05677

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

Céline Baranger·Nicolas Hérouard·Julien Mathiaud·Luc Mieussens
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Abstract

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.

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Céline Baranger, Nicolas Hérouard, Julien Mathiaud, Luc Mieussens. 2020-03-12. Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries. https://doi.org/10.1016/j.matcom.2018.11.011

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