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Reports (Research Report) Year : 2009

Advective vertex-centered Reconstruction Scheme on unstructured Meshes

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.
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Dates and versions

inria-00415762 , version 1 (10-09-2009)

Identifiers

  • HAL Id : inria-00415762 , version 1

Cite

Hilde Ouvrard, Tatiana Kozubskaya, Ilia Abalakin, Bruno Koobus, Alain Dervieux. Advective vertex-centered Reconstruction Scheme on unstructured Meshes. [Research Report] RR-7033, INRIA. 2009, pp.23. ⟨inria-00415762⟩
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