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On Vertex-Centered Unstructured Finite-Volume Methods for Stretched Anisotropic Triangulations
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.
Cited literature [23 references]
https://hal.inria.fr/inria-00073226
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 12:15:29 PM
Last modification on : Friday, February 4, 2022 - 3:19:40 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:39:03 PM
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 12:15:29 PM
Last modification on : Friday, February 4, 2022 - 3:19:40 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:39:03 PM