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Mostrando ítems 1-7 de 7
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
Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows
(Elsevier, 2023-06-01)
Starting from Navier-Stokes’ equation we derive two shallow water multilayer models for yield stress fluids, depending on the asymptotic analysis. One of them takes into account the normal stress contributions, making ...
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
Efficient numerical schemes for viscoplastic avalanches. Part 1: The 1D case.
(Elsevier, 2014)
This paper deals with the numerical resolution of a shallow water viscoplastic flow model. Viscoplastic materials are characterized by the existence of a yield stress: below a certain critical threshold in the imposed ...
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
Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
(Elsevier, 2010)
We study the superposition of 1D and 2D shallow-water equations with non-flat topographies, in the context of river-flood modeling. Since we superpose both models in the bi-dimensional areas, we focus on the definition of ...