A well-balanced solver for the Saint Venant Equations with variable cross-section

  • In this paper we construct a numerical solver for the Saint Venant equations. Special attention is given to the balancing of the source terms, including the bottom slope and variable cross- sectional profiles. Therefore a special discretization of the pressure law is used, in order to transfer analytical properties to the numerical method. Based on this approximation a well- balanced solver is developed, assuring the C-property and depth positivity. The performance of this method is studied in several test cases focusing on accurate capturing of steady states.

Download full text files

Export metadata

Additional Services

Search Google Scholar
Metadaten
Author:Raul Borsche
URN:urn:nbn:de:hbz:386-kluedo-38109
Document Type:Article
Language of publication:English
Date of Publication (online):2014/05/30
Year of first Publication:2014
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2014/06/02
Page Number:18
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012