Modelling Shallow Water Flows by a High Resolution Riemann Solver
Shock-capturing methods originally developed for compressible gas dynamics has been applied to many other non-linear hyperbolic systems of conservation equations, like reactive flows, two-phase flow, porous media flow and finally shallow water flows, with applications to rivers, estuaries, dam break and in particular tsunami propagation resulting from earthquake and landslide.
The basic ingredient of the proposed model for solving the shallow water equations is a finite volume Flux Vector Splitting Riemann Solver with a second order resolution scheme and implicit treatment of the source terms. The model includes entropy fix and step bed treatments, and finally shore line tracking, giving the ability to capture local discontinuities - like shock waves - and reducing numerical diffusion and unphysical viscosity effects which dominates in all finite difference methods. The numerical model has been validated in respect to different numerical test cases and comparisons with the exact solution of the Riemann problems are presented.
FRANCHELLO Giovanni;
2008-05-20
OPOCE
JRC35059
1018-5593,
EUR 23307 EN,
https://publications.jrc.ec.europa.eu/repository/handle/JRC35059,
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