Title: Process simulation for sewer systems by splitting &ndash a case study

Authors: G. Steinebach, P. Rentrop, M. Paffrath, R. Rosen, S. Seidl

Addresses: Bonn-Rhein-Sieg University of Applied Sciences, Grantham-Allee 20, 53757 Sankt Augustin, Germany. ' Center for Mathematical Sciences, Munich University of Technology, Boltzmannstr. 3, 85747 Garching, Germany. ' Siemens AG, Corporate Technology, Otto-Hahn-Ring 6, 81730 Munchen, Germany. ' Siemens AG, Corporate Technology, Otto-Hahn-Ring 6, 81730 Munchen, Germany. ' Faculty of Mechanical Engineering, Munich University of Technology, Boltzmannstr. 3, 85747 Garching, Germany

Abstract: Process simulation tools for sewer systems are built-up by modules for the simulation of flow, transport and chemical or biological reactions. Moreover, the coupling of the models for a single channel to a network is important. In this paper a splitting approach is presented for the suitable numerical treatment of the governing equations. The flow simulation is based on the one-dimensional Saint-Venant equations. These are combined with advection-diffusion-reaction equations for the transport of substances and their chemical or biological reactions. The Saint-Venant equations are splitted into quasi-linear and non-linear components which are semi-discretised in space separately. This approach is adapted to the equations for channels or rivers with strongly varying bottom elevation or cross sections and partial dry channels. The advection-diffusion-reaction equations are treated by an appropriate discretisation of the different parts. WENO-schemes are proposed for the space-discretisation of the advection terms. Numerical results of a case-study with eight chemical reactions are presented.

Keywords: process simulation; sewer systems; Saint-Venant equations; advection-diffusion reaction equations; method of lines; differential-algebraic equations; WENO-schemes; splitting approach; sewers; flow simulation; chemical reactions; modelling; sewage systems.

DOI: 10.1504/IJESMS.2009.031351

International Journal of Engineering Systems Modelling and Simulation, 2009 Vol.1 No.4, pp.185 - 192

Published online: 01 Feb 2010 *

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