About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Brandner, Marek ; Egermaier, Jiří ; Kopincová, Hana
High resolution schemes for open channel flow. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 15-21
MSC: 00A71, 76-xx
Keywords:
hyperbolic conservation laws; finite volume method; steady state; semi-implicit central-upwind scheme
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.
Partner of
EuDML logo