High resolution schemes for open channel flow

Brandner, Marek, Egermaier, Jiří, and Kopincová, Hana. "High resolution schemes for open channel flow." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 15-21. <http://eudml.org/doc/271382>.

@inProceedings{Brandner2010,
abstract = {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.},
author = {Brandner, Marek, Egermaier, Jiří, Kopincová, Hana},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {hyperbolic conservation laws; finite volume method; steady state; semi-implicit central-upwind scheme},
location = {Prague},
pages = {15-21},
publisher = {Institute of Mathematics AS CR},
title = {High resolution schemes for open channel flow},
url = {http://eudml.org/doc/271382},
year = {2010},
}

TY - CLSWK
AU - Brandner, Marek
AU - Egermaier, Jiří
AU - Kopincová, Hana
TI - High resolution schemes for open channel flow
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 15
EP - 21
AB - 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.
KW - hyperbolic conservation laws; finite volume method; steady state; semi-implicit central-upwind scheme
UR - http://eudml.org/doc/271382
ER -