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Numerical approximation of Knudsen layer for Euler-Poisson system

Abstract : In this work, we consider the computation of the boundary conditions for the linearized Euler-Poisson derived from the BGK kinetic model in the small mean free path regime. Boundary layers are generated from the fact that the incoming kinetic flux might be far from the thermodynamical equilibrium. In [2], the authors propose a method to compute numerically the boundary conditions in the hydrodynamic limit relying on an analysis of the boundary layers. In this paper, we will extend these techniques in the case of the coupled Euler-Poisson system.
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Contributor : Thierry Goudon <>
Submitted on : Monday, November 18, 2013 - 10:18:42 AM
Last modification on : Monday, October 12, 2020 - 2:28:04 PM

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Frédérique Charles, Nicolas Vauchelet, C. Besse, Thierry Goudon, Ingrid Violet, et al.. Numerical approximation of Knudsen layer for Euler-Poisson system. ESAIM: Proceedings, EDP Sciences, 2011, CEMRACS'10 research achievements: Numerical modeling of fusion, 32, pp.177--194. ⟨10.1051/proc/2011020⟩. ⟨hal-00905329⟩



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