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TitleThree-dimensional preliminary results of the MOOD method: a very high-order finite volume method for conservation laws
Author(s)Diot, S.
Clain, Stéphane
Loubère, R.
KeywordsFinite volume
Unstructured mesh
Euler system
Hexahedral mesh
Tetrahedral mesh
Issue dateApr-2012
Abstract(s)The Multi-dimensional Optimal Order Detection (MOOD) method has been designed by authors in [5] and extended in [7] to reach Very-High-Order of accuracy for systems of Conservation Laws in a Finite Volume (FV) framework on 2D unstructured meshes. In this paper we focus on the extension of this method to 3D unstructured meshes. We present preliminary results for the three-dimensional advection equation which confirm the good behaviour of the MOOD method. More precisely, we show that the scheme yields up to sixth-order accuracy on smooth solutions while preventing oscillations from appearing on discontinuous profiles.
TypeConference paper
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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