Abstract : Vertex-Centered Finite-Volume schemes applied to triangulations may present poor accuracy when stretched meshes are used. We introduce a family of variational schemes with three parameters for each triangle and investigate the conditions these parameters must meet in order to have a good behavior on stretched meshes. Some of the resulting schemes are also more qualified for computations on quasi-cartesian meshes than standard schemes with cells limited by medians. We obtain among others the Barth finite volume scheme. These schemes are also related to the so-called MDHR schemes. Application to transonic flows around cylinders and in a booster combustion chamber are discussed.
https://hal.inria.fr/inria-00073226
Contributeur : Rapport de Recherche Inria
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Soumis le : mercredi 24 mai 2006 - 12:15:29
Dernière modification le : samedi 27 janvier 2018 - 01:31:29
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:39:03
