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Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes

 

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Opened Access Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
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Author: Castro-Díaz, M.J.
Fernández-Nieto, Enrique D.
Ferreiro Ferreiro, Ana María
Parés Madroñal, Carlos
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2009
Published in: Computer Methods in Applied Mechanics and Engineering, 198(33-36), pp.2520–2538
Document type: Article
Abstract: In this paper, we study the numerical approximation of bedload sediment transport due to shallow layer flows. The hydrodynamical component is modeled by a 2D shallow water system and the morphodynamical component by a solid transport discharge formula that depends on the hydrodynamical variables. The coupled system can be written as a nonconservative hyperbolic system. To discretize it, first we consider a Roe-type first order scheme as well as a variant based on the use of flux limiters. These first order schemes are then extended to second order accuracy by means of a new MUSCL-type reconstruction operator on unstructured meshes. Finally, some numerical tests are presented.
Size: 2.261Mb
Format: PDF

URI: http://hdl.handle.net/11441/32144

DOI: 10.1016/j.cma.2009.03.001

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