Artículo
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.
Autor/es | Castro Díaz, Manuel Jesús
Chacón Rebollo, Tomás Fernández Nieto, Enrique Domingo González Vida, José Manuel Parés Madroñal, Carlos |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2008 |
Fecha de depósito | 2015-12-22 |
Publicado en |
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Resumen | In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard finite volume solvers for homogeneous systems to non-homogeneous ... In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard finite volume solvers for homogeneous systems to non-homogeneous ones using the method of lines. We study conservation and some well-balanced properties of the numerical scheme. We apply our solvers to shallow water equations: we prove that these exactly compute the water at rest solutions. We also perform some numerical tests, by comparing with 1D solutions, simulating the formation of a hydraulic drop and a hydraulic jump, and studying a real dam break: Aznalcóllar, an ecological disaster happened in the province of Seville, Spain in 1998. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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sw2d_dam_break_aznalcollar.pdf | 977.5Kb | [PDF] | Ver/ | |