ANTI-DIFFUSIVE ALTERNATE-DIRECTIONS SCHEMES FOR THE TRANSPORT OF STEP FUNCTIONS

Autor: Léa Batteux, Fabien Duval, Raphaële Herbin, Jean‐Claude Latché, Pascal Poullet

Publikováno v: International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids, 2022, 94 (8), pp.1155-1182. ⟨10.1002/fld.5086⟩

International audience; The purpose in this paper is to design finite-volumes schemes on structured grids for the transport of piecewise-constant functions (typically, indicator functions) with as low diffusion as possible. We first propose an extens

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https://hal.archives-ouvertes.fr/hal-03408102/file/ad.pdf

Finite Volumes for Complex Applications VI Problems & Perspectives : FVCA 6, International Symposium, Prague, June 6-10, 2011

Autor: Jaroslav Fořt, Jiří Fürst, Jan Halama, Raphaèle Herbin, Florence Hubert

Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error a

Développement et analyse de méthodes de volumes finis

Autor: Pascal Omnes

Publikováno v: Mathématiques [math]. Université Paris-Nord-Paris XIII, 2010
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This document is a synthesis of a set of works concerning the development and the analysis of finite volume methods used for the numerical approximation of partial differential equations (PDEs) stemming from physics. In the first part, the document d

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https://tel.archives-ouvertes.fr/tel-00613239/document