High order extensions of Roe schemes for two dimensional nonconservative hyperbolic systems
This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in [3] to the two-dimensional case. We also investigate the well-balance properties and th...
| Autores: | , , , , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2009 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/32917 |
| Acesso em linha: | http://hdl.handle.net/11441/32917 https://doi.org/10.1007/s10915-008-9250-4 |
| Access Level: | acceso abierto |
| Palavra-chave: | Generalized Roe Schemes 2d nonconservative hyperbolic systems nonconservative products finite volume schemes conservation laws source terms Shallow Water systems two-layer problems geophysical flows |
| Resumo: | This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in [3] to the two-dimensional case. We also investigate the well-balance properties and the consistency of the resulting schemes. We focus in applications to one and two layer shallow water systems |
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