Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/48544

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
High-Order
Finite volume method
High-order scheme
Polynomial reconstruction
Navier-Stokes equations
Euler equations
Fixed-point algorithm
Issue date11-Oct-2017
PublisherSpringer-Verlag
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.
TypeArticle
URIhttp://hdl.handle.net/1822/48544
DOI10.1007/s10915-016-0348-9
ISSN0885-7474
Publisher versionhttps://link.springer.com/journal/10915
Peer-Reviewedyes
AccessRestricted access (Author)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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