On vertex-centered unstructured finite-volume methods for stretched anisotropic triangulations

Vertex-centered upwind 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 investi gate the conditions these parameters must meet in order to have a good beha vior on stretched meshes. Some of the resulting schemes are also more quali fied for computations on quasi-cartesian meshes than standard schemes. We o btain among others the Earth finite volume scheme. These schemes are also r elated to the so-called MDHR schemes. Application to transonic flows around cylinders and in a booster combustion chamber are discussed. (C) 2001 Else vier Science B.V. Ail rights reserved.