ASYMPTOTIC-PRESERVING WELL-BALANCED SCHEME FOR THE ELECTRONIC M 1 MODEL IN THE DIFFUSIVE LIMIT: PARTICULAR CASES.
GUISSET, S
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
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Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
GUISSET, S
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Language
en
Article de revue
This item was published in
ESAIM: Mathematical Modelling and Numerical Analysis. 2017
EDP Sciences
English Abstract
This work is devoted to the derivation of an asymptotic-preserving scheme for the electronic M1 model in the diffusive regime. The case without electric field and the homogeneous case are studied. The derivation of the ...Read more >
This work is devoted to the derivation of an asymptotic-preserving scheme for the electronic M1 model in the diffusive regime. The case without electric field and the homogeneous case are studied. The derivation of the scheme is based on an approximate Riemann solver where the intermediate states are chosen consistent with the integral form of the approximate Riemann solver. This choice can be modified to enable the derivation of a numerical scheme which also satisfies the admissible conditions and is well-suited for capturing steady states. Moreover, it enjoys asymptotic-preserving properties and handles the diffusive limit recovering the correct diffusion equation. Numerical tests cases are presented, in each case, the asymptotic-preserving scheme is compared to the classical HLL [43] scheme usually used for the electronic M1 model. It is shown that the new scheme gives comparable results with respect to the HLL scheme in the classical regime. On the contrary, in the diffusive regime, the asymptotic-preserving scheme coincides with the expected diffusion equation, while the HLL scheme suffers from a severe lack of accuracy because of its unphysical numerical viscosity.Read less <
Origin
Hal imported