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Artículo
An energetically consistent viscous sedimentation model
(World Scientific Publishing, 2009)
In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the ...
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
Existence of a global weak solution for a 2d viscous bi-layer Shallow Water model
(Elsevier Science, 2009)
We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of three-dimensional Navier–Stokes equations ...