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Journal of Hydraulic Engineering 34, 1 (2010) 34-45
Computational study and sensitivity analysis for quality modeling in Water Distribution Systems.
Pierre Fabrie 1, G. Gancel 2, Iraj Mortazavi 3, 4, Olivier Piller 5
(2010)

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.\
1 :  Institut de Mathématiques de Bordeaux (IMB)
CNRS : FR2254 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2 :  SAFEGE
Safege company
3 :  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
4 :  MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
5 :  CEMAGREF
CEMAGREF
Physique/Mécanique/Mécanique des fluides

Sciences de l'ingénieur/Mécanique/Mécanique des fluides
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