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

C. Baranger, N. Hérouard, J. Mathiaud and L. Mieussens

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 159, issue C, 136-153

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 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.

Keywords: Rarefied flow simulation; BGK model; Finite Volume Schemes; Discontinuous Galerkin schemes; Numerical boundary conditions (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:159:y:2019:i:c:p:136-153

DOI: 10.1016/j.matcom.2018.11.011

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