Advection Diffusion Problems with Pure Advection Approximation in Subregions

Martin J. Gander,Caroline Japhet,Laurence Halpern,Véronique Martin

doi:10.1007/978-3-540-34469-8_26

Advection Diffusion Problems with Pure Advection Approximation in Subregions

Martin J. Gander, Caroline Japhet + Show 2 more

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https://doi.org/10.1007/978-3-540-34469-8_26

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Publication Date: Jan 1, 2007

Citations: 15

Affiliation: University of Geneva, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, University of Picardie Jules Verne, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

#Pure Advection Equation #Advection Diffusion Problems + Show 8 more

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Abstract

Abstract We study in this paper a model problem of advection diffusion type on a region which contains a subregion where it is sufficient to approximate the problem by the pure advection equation. We define coupling conditions at the interface between the two regions which lead to a coupled solution which approximates the fully viscous solution more accurately than other conditions from the literature, and we develop a fast algorithm to solve the coupled problem.

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