Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/43613
Título: | A well-balanced scheme for the shallow-water equations with topography |
Autor(es): | Michel-Dansac, Victor Berthon, Christophe Clain, Stéphane Foucher, Françoise |
Palavras-chave: | Shallow-water equations Godunov-type schemes Well-balanced schemes Moving steady states |
Data: | Jun-2016 |
Editora: | Elsevier 1 |
Revista: | Computers and Mathematics With Applications |
Resumo(s): | A non-negativity preserving and well-balanced scheme that exactly preserves all the smooth steady states of the shallow water system, including the moving ones, is proposed. In addition, the scheme must deal with vanishing water heights and transitions between wet and dry areas. A Godunov-type method is derived by using a relevant average of the source terms within the scheme, in order to enforce the required well-balance property. A second-order well-balanced MUSCL extension is also designed. Numerical experiments are carried out to check the properties of the scheme and assess the ability to exactly preserve all the steady states. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/43613 |
DOI: | 10.1016/j.camwa.2016.05.015 |
ISSN: | 0898-1221 |
Versão da editora: | www.elsevier.com/locate/camwa |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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1-s2.0-S0898122116302838-main.pdf Acesso restrito! | 875,74 kB | Adobe PDF | Ver/Abrir |