@incollection{SteinebachRosenSohr2012,
author = {Gerd Steinebach and Roland Rosen and Annelie Sohr},
title = {Modeling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems},
series = {Martin, Klamroth et al. (Eds.): Mathematical Optimization of Water Networks. International Series of Numerical Mathematics, Vol. 162},
publisher = {Birkh{\"a}user},
address = {Basel},
isbn = {978-3-0348-0435-6},
doi = {10.1007/978-3-0348-0436-3\_1},
pages = {3 -- 15},
year = {2012},
abstract = {In this chapter the simulation of a water supply system on a mesoscale abstraction level is considered. The water network consists of storage tanks, pipes, pumps and valves. It is operated by the characteristics of the water supplier, the consumer and the pumps. For all network elements the modeling equations are given. They include mass and momentum conservation for pressurized pipe flow. For their numerical solution the method of lines is proposed. The discretization in space is based on a finite volume approach together with a local Lax-Friedrich splitting and central WENO reconstruction. Boundary and coupling conditions are implemented as algebraic equations. This leads to a system of differential-algebraic equations in time which is solved by a special Rosenbrock method. The paper ends with some typical simulation results of the network.},
language = {en}
}