TECHNICAL PAPERS
Dec 15, 2009

Quality Modeling of Water Distribution Systems Using Sensitivity Equations

Publication: Journal of Hydraulic Engineering
Volume 136, Issue 1

Abstract

In this paper, unsteady water quality modeling and the associated sensitivity equations are solved for water distribution systems. A new solution algorithm is proposed, designed for slow varying velocity and based on a time splitting method to separate and solve efficiently each phenomenon such as advection and chemical reaction. This numerical approach allows simultaneous solution of both the direct problem and the sensitivity equations. Special attention is given to the treatment of advection, which is handled with a total variation diminishing scheme. The general model presented in this study permits global sensitivity analysis of the system to be performed and its efficiency is illustrated on two pipe networks. The importance of the sensitivity analysis is shown as part of the calibration process on a real network.

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Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 136Issue 1January 2010
Pages: 34 - 44

History

Received: Aug 2, 2006
Accepted: Jul 10, 2009
Published online: Dec 15, 2009
Published in print: Jan 2010

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Authors

Affiliations

Professor, Bordeaux Institute of Mathematics, CNRS UMR 5251, Bordeaux I Univ., 33405 Talence, France. E-mail: [email protected]
Project Manager, Safege Company, Parc de l’Ile-15/27 rue du Port-92022 Nanterre Cedex, France. E-mail: [email protected]
I. Mortazavi [email protected]
Associate Professor, Bordeaux Institute of Mathematics, CNRS UMR 5251 and INRIA Sud-Ouest Projet MC2, Bordeaux I Univ., 33405 Talence, France (corresponding author). E-mail: [email protected]
Research Scientist, Hydraulics and Civil Engineering Research Unit, Cemagref, 50 Ave. de Verdun, Gazinet, F-33612 Cestas Cedex, France. E-mail: [email protected]

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