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
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 12:15:29 PM Last modification on : Saturday, January 27, 2018 - 1:31:29 AM Long-term archiving on: : Sunday, April 4, 2010 - 11:39:03 PM