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Computational study and sensitivity analysis for quality modeling in Water Distribution Systems.

Pierre Fabrie 1 Guillaume Gancel 2 Iraj Mortazavi 1, 3 Olivier Piller 4 
3 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : In this paper, direct water quality modelling and the associated unsteady sensitivity equations, are solved in Water Distribution Systems (WDS). A new solution algorithm is proposed, based on a time splitting method to separate and solve efficiently each phenomenon such as advection and chemical reaction. This numerical approach allows a 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 (TVD) scheme. \\ The general model presented in this study permits a global sensitivity analysis of the system and its efficiency is illustrated on two pipe networks. The importance of the sensitivity analysis is shown as part of a fitting process on a real network.
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Submitted on : Saturday, December 13, 2008 - 2:44:01 AM
Last modification on : Thursday, January 27, 2022 - 3:08:43 AM
Long-term archiving on: : Tuesday, June 8, 2010 - 4:59:03 PM


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  • HAL Id : inria-00346976, version 1



Pierre Fabrie, Guillaume Gancel, Iraj Mortazavi, Olivier Piller. Computational study and sensitivity analysis for quality modeling in Water Distribution Systems.. 2008. ⟨inria-00346976⟩



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