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TitleA very high-order accurate staggered finite volume scheme for the stationary incompressible navier–stokes and Euler equations on unstructured meshes
Author(s)Costa, Ricardo
Clain, Stéphane
Machado, Gaspar J.
Loubère, Raphaël
KeywordsFinite Volume
Finite volume method
High-order scheme
Polynomial reconstruction
Navier-Stokes equations
Euler equations
Fixed-point algorithm
Issue date11-Oct-2017
JournalJournal of Scientific Computing
Abstract(s)We propose a sixth-order staggered finite volume scheme based on polynomial reconstructions to achieve high accurate numerical solutions for the incompressible Navier– Stokes and Euler equations. The scheme is equipped with a fixed-point algorithm with solution relaxation to speed-up the convergence and reduce the computation time. Numerical tests are provided to assess the effectiveness of the method to achieve up to sixth-order con- vergence rates. Simulations for the benchmark lid-driven cavity problem are also provided to highlight the benefit of the proposed high-order scheme.
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Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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