Process simulation for sewer systems by splitting &ndash a case study. (2nd February 2010)

• Record Type: Journal Article
• Authors: Steinebach, G.; Rentrop, P.; Paffrath, M.; Rosen, R.; , S. Seidl
• Is Part Of: International journal of engineering systems modelling and simulation. Volume 1:Number 4(2009)
• Page Start: 185
• Page End: 192
• Publication Date: 2010-02-02
• Subjects: 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; Engineering systems -- Computer simulation -- Periodicals; Engineering systems -- Mathematical models -- Periodicals; 620.0042
• Languages: English
• ISSNs: 1755-9758

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.