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Advective vertex-centered Reconstruction Scheme on unstructured Meshes

Hilde Ouvrard 1 Tatiana Kozubskaya 2 Ilia Abalakin 2 Bruno Koobus 1 Alain Dervieux 3
1 Département de Mathématiques [Montpellier]
2 IMM-RAS - Institute for Mathematical Modelling
3 PUMAS - Plasma, tUrbulence, Modeling, Approximation and Simulation
CRISAM - Inria Sophia Antipolis - Méditerranée
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.
Keywords : Computational Fluid Dynamics finite volume reconstruction upwind unstructured meshes acoustics
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https://hal.inria.fr/inria-00415762
Contributor : Alain Dervieux <>
Submitted on : Thursday, September 10, 2009 - 7:23:06 PM
Last modification on : Tuesday, July 14, 2020 - 11:04:04 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 11:29:24 PM

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  • HAL Id : inria-00415762, version 1

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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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