FABRIE, Pierre; GANCEL, Guillaume; MORTAZAVI, Iraj; PILLER, Olivier

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FABRIE, Pierre
Institut de Mathématiques de Bordeaux [IMB]

GANCEL, Guillaume
SAFEGE

MORTAZAVI, Iraj
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

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Document de travail - Pré-publication

Ce document a été publié dans

Journal of Hydraulic Engineering. 2009-12-15, vol. 34, n° 1, p. 34-45

American Society of Civil Engineers

Résumé en anglais

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.< Réduire

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251