An energy conserving well-balanced scheme for the shallow water equations

An energy conserving scheme for the shallow water equations including the bathymetry term is derived. Energy conservation implies the well-balanced property. The soundness of the approach is verified by numerical examples. Namely the lake at rest and a dam break problem are presented. The new scheme...

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Bibliographic Details
Main Author: Touma, R. (author)
Other Authors: Reiss, J. (author), Sesterhenn, J. (author)
Format: conferenceObject
Published: 2015
Online Access:http://hdl.handle.net/10725/8441
https://doi.org/10.1063/1.4912343
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
https://aip.scitation.org/doi/abs/10.1063/1.4912343
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