1. A Spectral Approach to Uncertainty Quantification in Water Distribution Networks
- Author
-
Olivier Piller, Iraj Mortazavi, M. Braun, Angelo Iollo, Environnement, territoires et infrastructures (UR ETBX), Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Modeling Enablers for Multi-PHysics and InteractionS (MEMPHIS), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre d'enseignement Cnam Paris (CNAM Paris), Conservatoire National des Arts et Métiers [CNAM] (CNAM), The work presented in the paper is part of the French-German collaborative research project ResiWater that is funded by the French National Research Agency (ANR, project: ANR-14-PICS-0003) and the German Federal Ministry of Education and Research (BMBF, project: BMBF-13N13690), ANR-14-PICS-0003,ResiWater,Outils, modèles et réseaux sécurisés et innovants de capteurs pour une résilience augmentée des infrastructures liées à l'eau(2014), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)
- Subjects
Spectral approach ,010504 meteorology & atmospheric sciences ,Distribution networks ,Hydraulics ,Computer science ,Geography, Planning and Development ,0207 environmental engineering ,02 engineering and technology ,Management, Monitoring, Policy and Law ,01 natural sciences ,law.invention ,modelling ,[SPI]Engineering Sciences [physics] ,INCERTITUDE ,Computer Science::Systems and Control ,law ,Mathematics::Metric Geometry ,Statistical physics ,RESEAU DE DISTRIBUTION D'EAU ,Uncertainty quantification ,[MATH]Mathematics [math] ,020701 environmental engineering ,water distribution system ,0105 earth and related environmental sciences ,Water Science and Technology ,Civil and Structural Engineering ,statistical uncertainty ,Réseau de distribution d'eau ,MODELISATION ,6. Clean water ,Modélisation ,SIMULATION ,[SDE]Environmental Sciences - Abstract
[Departement_IRSTEA]Eaux [TR1_IRSTEA]GEUSI [ADD1_IRSTEA]Gestion intégrée de la ressource et des infrastructures; International audience; To date, the hydraulics of water distribution networks are calculated using deterministic models. Because many of the parameters in these models are not known exactly, it is important to evaluate the effects of their uncertainties on the results through uncertainty analysis. For the propagation of uncertain parameters, this article for the first time applies the polynomial chaos expansion to a hydraulic model and compares the results with those from classical approaches like the first-order second-moment method and Monte Carlo simulations. Results presented in this article show that the accuracy of the polynomial chaos expansion is on the same level as the Monte Carlo simulation. Further, it is concluded that due to its computational efficiency, polynomial chaos expansion is superior to the Monte Carlo simulation.
- Published
- 2020
- Full Text
- View/download PDF