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The MOOD method for the non-conservative shallow-water system

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Resumo: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.
Autores principais:Clain, Stéphane
Outros Autores:Figueiredo, Jorge Manuel
Assunto:Finite volume Well-balanced scheme High-order Non-conservative problem Polynomial reconstruction Unstructured mesh Shallow-water MOOD Positivity-preserving Ciências Naturais::Matemáticas
Ano:2017
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho

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