Article
High order extensions of Roe schemes for two dimensional nonconservative hyperbolic systems
Author/s | Castro Díaz, Manuel Jesús
Fernández Nieto, Enrique Domingo Ferreiro Ferreiro, Ana María García Rodríguez, J.A. Parés Madroñal, Carlos |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2016-01-20 |
Abstract | 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 ... 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 |
Citation | Castro Díaz, M.J., Fernández Nieto, E.D., Ferreiro Ferreiro, A.M., García Rodríguez, J.A. y Parés Madroñal, C. (2009). High order extensions of Roe schemes for two dimensional nonconservative hyperbolic systems. |
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