Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case

Pierre Degond; Fabrice Deluzet; Dario Maldarella; Jacek Narski; Claudia Negulescu; Martin Parisot

doi:10.1051/proc/2011010

Geodesic

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Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case

Pierre Degond ^1,² ; Fabrice Deluzet ^1,² ; Dario Maldarella ³ ; Jacek Narski ^1,² ; Claudia Negulescu ⁴ ; Martin Parisot ⁵

¹ Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062; Toulouse, France
² CNRS, Institut de Mathématiques de Toulouse UMR 5219, F-31062 Toulouse, France
³ Department of Mathematics and CMCS; University of Ferrara, Via Macchiavelli; 35 I-44100 Ferrara, Italy
⁴ CMI/LATP (UMR 6632), Université de Provence; 39, rue Joliot Curie; 13453 Marseille Cedes, France
⁵ Project-Team SIMPAF–INRIA Lille-Nord Europe; Park Plazza, 40 avenue Halley; F-59650 Villeneuve d’Ascq cedex, France

ESAIM. Proceedings, Tome 32 (2011), pp. 23-30.

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Résumé

In this paper a strategy is investigated for the spatial coupling of an asymptotic preserving scheme with the asymptotic limit model, associated to a singularly perturbed, highly anisotropic, elliptic problem. This coupling strategy appears to be very advantageous as compared with the numerical discretization of the initial singular perturbation model or the purely asymptotic preserving scheme introduced in previous works [3, 5]. The model problem addressed in this paper is well suited for the simulation of a plasma in the presence of a magnetic field, whose intensity may vary considerably within the simulation domain.

DOI : 10.1051/proc/2011010

Affiliations des auteurs :

Pierre Degond ^{1, 2} ; Fabrice Deluzet ^{1, 2} ; Dario Maldarella ³ ; Jacek Narski ^{1, 2} ; Claudia Negulescu ⁴ ; Martin Parisot ⁵

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     title = {Hybrid model for the {Coupling} of an {Asymptotic} {Preserving} scheme with the {Asymptotic} {Limit} model: {The} {One} {Dimensional} {Case}},
     journal = {ESAIM. Proceedings},
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Pierre Degond; Fabrice Deluzet; Dario Maldarella; Jacek Narski; Claudia Negulescu; Martin Parisot. Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case. ESAIM. Proceedings, Tome 32 (2011), pp. 23-30. doi : 10.1051/proc/2011010. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011010/

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