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