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 ...
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 ...
A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods [Article]
(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 ...
Extension of WAF type methods to non-homogeneous Shallow Water Equations with pollutant [Article]
(Plenum Press, 2008)
This paper deals with the extension of the WAF method to discretize Shallow Water Equations with pollutants. We consider two different versions of the WAF method, by approximating the intermediate waves using the flux of ...
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system [Article]
(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 ) that can be used even if the system ...
On an Intermediate Field Capturing Riemann solver based on a Parabolic viscosity matrix for the two-layer shallow water system [Article]
(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 ...