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Artículo
On a shallow water model for the simulation of turbidity currents
(Cambridge University Press, 2009)
We present a model for hyperpycnal plumes or turbidity currents that takes into account the interaction between the turbidity current and the bottom, considering deposition and erosion effects as well as solid transport ...
Artículo
On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems
(Society for Industrial and Applied Mathematics, 2007)
In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative terms. We prove that all of them are “asymptotically well-balanced”: They preserve all smooth ...
Artículo
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.
(Elsevier, 2008)
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 ...
Artículo
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
(Elsevier, 2009)
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 ...
Artículo
High order extensions of Roe schemes for two dimensional nonconservative hyperbolic systems
(Plenum Press, 2009)
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 ...