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.
Author: | Raul Borsche |
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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 |