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TitleMonoslope and multislope MUSCL methods for unstructured meshes
Author(s)Buffart, Tineke
Clain, Stéphane
KeywordsFinite volume methods
High-order reconstruction
Issue date1-Nov-2010
JournalJournal of Computational Physics
Citation"Journal of Comptutational Physics". ISSN 0021-9991. 229:10 (Nov. 2010) 3745-3776.
Abstract(s)We present new MUSCL techniques associated with cell-centered finite volume method on triangular meshes. The first reconstruction consists in calculating one vectorial slope per control volume by a minimization procedure with respect to a prescribed stability condition. The second technique we propose is based on the computation of three scalar slopes per triangle (one per edge) still respecting some stability condition. The resulting algorithm provides a very simple scheme which is extensible to higher dimensional problems. Numerical approximations have been performed to obtain the convergence order for the advection scalar problem whereas we treat a nonlinear vectorial example, namely the Euler system, to show the capacity of the new MUSCL technique to deal with more complex situations.
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Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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