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Journal Articles ESAIM: Proceedings Year : 2011

Finite volume method in curvilinear coordinates for hyperbolic conservation laws

Abstract

This paper deals with the design of finite volume approximation of hyperbolic conservation laws in curvilinear coordinates. Such coordinates are encountered naturally in many problems as for instance in the analysis of a large number of models coming from magnetic confinement fusion in tokamaks. In this paper we derive a new finite volume method for hyperbolic conservation laws in curvilinear coordinates. The method is first described in a general setting and then is illustrated in 2D polar coordinates. Numerical experiments show its advantages with respect to the use of Cartesian coordinates.
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Dates and versions

hal-00914822 , version 1 (06-12-2013)

Identifiers

  • HAL Id : hal-00914822 , version 1

Cite

Herve Guillard, Audrey Bonnement, Martin Marie, T. Fajraoui, Alexandre Mouton, et al.. Finite volume method in curvilinear coordinates for hyperbolic conservation laws. ESAIM: Proceedings, 2011, 32, pp.163-176. ⟨hal-00914822⟩
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