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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.
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https://hal.inria.fr/inria-00073226
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Submitted on : Wednesday, May 24, 2006 - 12:15:29 PM
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  • HAL Id : inria-00073226, version 1

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Cécile Viozat, C. Held, K. Mer, Alain Dervieux. On Vertex-Centered Unstructured Finite-Volume Methods for Stretched Anisotropic Triangulations. RR-3464, INRIA. 1998. ⟨inria-00073226⟩

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