Approximation numérique d'un problème d'optimisation pour réduire les fuites dans les systèmes de distribution d'eau

FABRIE, Pierre; JAUMOUILLÉ, Elodie; MORTAZAVI, Iraj; PILLER, Olivier

doi:10.3934/mcrf.2012.2.101

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FABRIE, Pierre
Institut de Mathématiques de Bordeaux [IMB]

JAUMOUILLÉ, Elodie
Réseaux épuration et qualité des eaux [UR REBX]

MORTAZAVI, Iraj
Institut de Mathématiques de Bordeaux [IMB]

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Mathematical Control and Related Fields. 2012, vol. 2, n° 2, p. 101-120

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Resumen en inglés

Leakage represents a large part of the supplied water in Water Distribution Systems (WDS). Consequently, it is important to develop some efficient strategies to manage such a phenomenon. In this paper an improved formulation of the hydraulic network equations that incorporate pressure-dependent leakage, is presented and validated. The formulation is derived from the Navier-Stokes equations and solved using an adequate splitting method. Then, this formulation is used to study a constrained optimization problem with the objective to minimize the distributed water volume reducing the leakage. The problem is described and validated for academic case studies and real networks.< Leer menos

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SPLITTING METHODE

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