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)

1 IMB - Institut de Mathématiques de Bordeaux
2 SAFEGE
3 MC2 - Modélisation, contrôle et calcul
4 UR REBX - Réseaux épuration et qualité des eaux

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.

Domaines: Mathématiques [math]; Mécanique des fluides [physics.class-ph]; Génie civil

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