Abstract : We propose and experiment a reconstruction finite-volume scheme for vertex-centered unstructured meshes. The reconstruction is quadratic and $P_2$-exact with respect to mean cell values. The quadrature formulas for fluxes are also exact for quadratic polynomial. The resulting scheme is third-order accurate. We evaluate its accuracy on advection test cases. We apply this method to the linearised Euler model and compare it to a superconvergent mixed-element-volume scheme.
https://hal.inria.fr/inria-00415762
Contributeur : Alain Dervieux
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Soumis le : jeudi 10 septembre 2009 - 19:23:06
Dernière modification le : lundi 23 juillet 2018 - 14:20:01
Document(s) archivé(s) le : mardi 15 juin 2010 - 23:29:24
