Numerical modelling of river flow (numerical schemes for one type of nonconservative systems

Brandner, Marek, Egermaier, Jiří, and Kopincová, Hana. "Numerical modelling of river flow (numerical schemes for one type of nonconservative systems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 23-36. <http://eudml.org/doc/271398>.

@inProceedings{Brandner2008,
abstract = {In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume method, our approach is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative from their physical fundamental, for example the cross section or depth. Our scheme can be extended to the second order accuracy.},
author = {Brandner, Marek, Egermaier, Jiří, Kopincová, Hana},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {23-36},
publisher = {Institute of Mathematics AS CR},
title = {Numerical modelling of river flow (numerical schemes for one type of nonconservative systems},
url = {http://eudml.org/doc/271398},
year = {2008},
}

TY - CLSWK
AU - Brandner, Marek
AU - Egermaier, Jiří
AU - Kopincová, Hana
TI - Numerical modelling of river flow (numerical schemes for one type of nonconservative systems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 23
EP - 36
AB - In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume method, our approach is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative from their physical fundamental, for example the cross section or depth. Our scheme can be extended to the second order accuracy.
UR - http://eudml.org/doc/271398
ER -