Title: Modelling Shallow Water Flows by a High Resolution Riemann Solver
Editors: FRANCHELLO GIOVANNI
Publisher: OPOCE
Publication Year: 2008
JRC N°: JRC35059
ISSN: 1018-5593
Other Identifiers: EUR 23307 EN
URI: http://publications.jrc.ec.europa.eu/repository/handle/JRC35059
Type: EUR - Scientific and Technical Research Reports
Abstract: 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.
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