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Title: High resolution schemes for open channel flow (English)
Author: Brandner, Marek
Author: Egermaier, Jiří
Author: Kopincová, Hana
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 6-11, 2010
Issue: 2010
Pages: 15-21
Category: math
Summary: One of the commonly used models for river flow modelling is based on the Saint-Venant equations - the system of hyperbolic equations with spatially varying flux function and a source term. We introduce finite volume methods that solve this type of balance laws efficiently and satisfy some important properties at the same time. The properties like consistency, stability and convergence are necessary for the mathematically correct solution. However, the schemes should be also positive semidefinite and preserve steady states to obtain physically relevant solution of the flow problems. These schemes can also be modified to a high order version or for solving flow problems with a friction source term. (English)
Keyword: hyperbolic conservation laws
Keyword: finite volume method
Keyword: steady state
Keyword: semi-implicit central-upwind scheme
MSC: 00A71
MSC: 76-xx
Date available: 2015-07-08T06:48:41Z
Last updated: 2015-07-08
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