Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/19889

TitleImproved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
Author(s)Clain, Stéphane
Diot, S.
Loubère, R.
KeywordsFinite volume
Unstructured mesh
MOOD
Euler system
High-order
Conservation law
Polynomial reconstruction
Limitation
Polygonal
Non-conformal
Positivity-preserving
Issue date1-Jul-2012
PublisherElsevier
JournalComputers and fluids
Abstract(s)This paper extends the MOOD method proposed by the authors in [A high-order finite volume method for hyperbolic systems: Multi-dimensional Optimal Order Detection (MOOD)'', J. Comput. Phys. 230, pp 4028-4050, (2011)], along two complementary axes: extension to very high-order polynomial reconstruction on non-conformal unstructured meshes and new Detection Criteria. The former is a natural extension of the previous cited work which confirms the good behavior of the MOOD method. The latter is a necessary brick to overcome limitations of the Discrete Maximum Principle used in the previous work. Numerical results on advection problems and hydrodynamics Euler equations are presented to show that the MOOD method is efectively high-order (up to sixth-order), intrinsincally positivity-preserving on hydrodynamics test cases and computationaly efficient.
TypeArticle
URIhttp://hdl.handle.net/1822/19889
ISSN0045-7930
Publisher versionhttp://www.sciencedirect.com/
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMA - Artigos (Papers)

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