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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
A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
(Society for Industrial and Applied Mathematics, 2012)
In this work, we present a class of fast first order finite volume solvers, named as PVM (Polynomial Viscosity Matrix), for balance laws or, more generally, for nonconservative hyperbolic systems. They are defined in terms ...