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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
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
(Plenum Press, 2011)
In this work, a characterization of the hyperbolicity region for the two layer shallow-water system is proposed and checked. Next, some path-conservative finite volume schemes (see [11]) that can be used even if the system ...
Artículo
On an Intermediate Field Capturing Riemann solver based on a Parabolic viscosity matrix for the two-layer shallow water system
(Plenum Press, 2011)
The goal of this article is to design a new approximate Riemann solver for the two-layer shallow water system which is fast compared to Roe schemes and accurate compared to Lax-Friedrichs, FORCE, or GFORCE schemes ...
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
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport.
(Cambridge University Press, 2013)
This paper focuses on the generalization of the HLLC Riemann solver for nonconservative problems. First, the general ideas of the extension of the HLLC solvers for nonconservative systems are discussed. Then, two particular ...
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 ...