Low dimensional modeling of Double T-junctions in water distribution networks using Kriging interpolation and Delaunay triangulation

Water distribution networks are subject to potential intentional contaminations to cause harm to the consumer. Reliable transport models are needed to detect, trace and follow any contaminant transported inside the network. For now, the transport of contaminants in pipes has been mostly modeled assu...

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Vydáno v:International journal of mathematics for industry (Online) Ročník 9; číslo 1; s. 1
Hlavní autoři: Gilbert, Denis, Mortazavi, Iraj, Piller, Olivier, Ung, Hervé
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 20.01.2017
World Scientific Publishing Co. Pte., Ltd
Springer
Témata:
Algorithms
Applications of Mathematics
Artificial Intelligence
Calibration
Computer Science
Design of experiments
Design techniques
Engineering Sciences
Math Applications in Computer Science
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Modeling and Simulation
Original Article
Quantitative Finance
Reynolds number
Simulation
Spectral Theory
Water quality
CFD
Turbulent
Transport modeling
Imperfect mixing
1-D reduced model
Design of experiment
Delaunay triangulation
Kriging
Water distribution network
Laminar
water distribution system
RESEAU DE DISTRIBUTION D'EAU
PLAN D'EXPERIENCE
MODELISATION
ECOULEMENT TURBULENT
simulation
ECOULEMENT LAMINAIRE
turbulent flow
transport
modelling
contamination
ISSN:2198-4115, 2661-3352, 2198-4115, 2661-3344
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Shrnutí:Water distribution networks are subject to potential intentional contaminations to cause harm to the consumer. Reliable transport models are needed to detect, trace and follow any contaminant transported inside the network. For now, the transport of contaminants in pipes has been mostly modeled assuming perfect mixing conditions at T-junction. However, some studies have shown that it is not always the case when crosses or double T-junctions are involved. In this paper an imperfect mixing at Double T-junction model is developed considering 3-D mixing behavior. A reduced model is then constructed in the form of a 1-D law to apply it to current 1-D transport models for water distribution networks. The methodology to create such law is detailed and can be applied to any reduced model problem including multi parameters and time consuming simulations. The procedure is composed of three steps: first calibrate the Kriging interpolation method parameters; then couple it with the Delaunay triangulation method to select simulation points with maximum gain; and finally implement a 1-D law based on the simulation results and the interpolation.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2198-4115
2661-3352
2198-4115
2661-3344
DOI:10.1186/s40736-016-0026-8