54 citations · 115 across the 6 of their papers we have counts for
4 papers · 1 filter
Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
Chiara Colombo, Caterina Dalmaso, Lucas O. Müller +1
The present work proposes a well-balanced finite volume-type numerical method for the solution of non-conservative hyperbolic partial differential equations (PDEs) with source term…
A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes
E. F. Toro, C. Castro, D. Vanzo +1
We present an advection-pressure flux-vector splitting method for the one and two- dimensional shallow water equations following the approach first proposed by Toro and Vázquez for…
A splitting scheme for the coupled Saint-Venant-Exner model
Annunziato Siviglia, Davide Vanzo, Eleuterio F. Toro
We present a splitting method for the one-dimensional Saint-Venant-Exner equations used for describing the bed evolution in shallow water systems. We adapt the flux vector splittin…
Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates
E. F. Toro, L. O. Müller, A. Siviglia
In this paper we provide bound estimates for the two fastest wave speeds emerging from the solution of the Riemann problem for three well-known hyperbolic systems, namely the Euler…