Now showing items 1-6 of 6
On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems [Article]
(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 ...
Efficient numerical schemes for viscoplastic avalanches. Part 1: The 1D case. [Article]
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 ...
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. [Article]
(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 ...
Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes [Article]
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 ...
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes [Article]
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 ...
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar. [Article]
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 ...