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Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.

 

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Opened Access Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.
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Author: Castro-Díaz, M.J.
Chacón Rebollo, Tomás
Fernández-Nieto, Enrique D.
González-Vida, José Manuel
Parés Madroñal, Carlos
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2008
Published in: Computer Methods in Applied Mechanics and Engineering, 197(45-48), pp.3932–3950
Document type: Article
Abstract: 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.
Size: 977.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/32145

DOI: 10.1016/j.cma.2008.03.026

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