@inproceedings{JaxSteinebach2013, author = {Tim Jax and Gerd Steinebach}, title = {Methods for modelling and numerical simulation of fluid flow problems in open channels and closed pipes}, series = {Reichardt (Hg.): Tagungsband ASIM/GI Fachgruppentreffen Simulation technischer Systeme und Grundlagen und Methoden in Modellbildung und Simulation. D{\"u}sseldorf, 28.02.-01.03.2013}, publisher = {ARGESIM Verlag}, address = {Wien}, isbn = {978-3-901608-41-4}, pages = {193 -- 198}, year = {2013}, abstract = {The simulation of fluid flows is of importance to many fields of application, especially in industry and infrastructure. The modelling equations applied describe a coupled system of non-linear, hyperbolic partial differential equations given by one-dimensional shallow water equations that enable the consistent implementation of free surface flows in open channels as well as pressurised flows in closed pipes. The numerical realisation of these equations is complicated and challenging to date due to their characteristic properties that are able to cause discontinuous solutions.}, language = {en} }