Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/44123

TitleThe MOOD method for the non-conservative shallow-water system
Author(s)Clain, Stéphane
Figueiredo, Jorge Manuel
KeywordsFinite volume
Well-balanced scheme
High-order
Non-conservative problem
Polynomial reconstruction
Unstructured mesh
Shallow-water
MOOD
Positivity-preserving
Issue date2017
PublisherElsevier
JournalComputers and Fluids
Abstract(s)We present an adaptation of the MOOD method, initially introduced in [1,2], for the two-dimensional shallow-water system with varying bathymetry, where the major novelty of the study is the non- conservative term discretization in the framework of the MOOD strategy. We derive a robust sixth-order well-balanced scheme and propose a large panel of numerical tests to assess the accuracy of the method and show that numerical solutions are free of oscillations in the vicinity of discontinuities. We also demonstrate that the MOOD method guarantees the height positivity as long as the first-order scheme does.
TypeArticle
URIhttp://hdl.handle.net/1822/44123
DOI10.1016/j.compfluid.2016.11.013
ISSN0045-7930
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S004579301630370X
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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