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The efficient computation of shortest paths in complex networks is essential to face new challenges related to critical infrastructures such as a near real-time monitoring and control and the management of big size systems. In particular,…

Physics and Society · Physics 2019-12-02 Carlo Giudicianni , Armando di Nardo , Gabriele Oliva , Antonio Scala , Manuel Herrera

Considering the high computation cost produced in conventional computation fluid dynamic simulations, machine learning methods have been introduced to flow dynamic simulations in recent years. However, most of studies focus mainly on…

Fluid Dynamics · Physics 2020-10-13 M. Cheng , F. Fang , C. C. Pain , I. M. Navon

The operation of water distribution networks simply aims at efficiently delivering consumers adequate water while maintaining safe water quality (WQ). However, this process entails a multi-scale interplay between hydraulic and WQ dynamics…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Salma M. Elsherif , Mohamad H. Kazma , Ahmad F. Taha

We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of compressors and regulators. The gas dynamics…

Optimization and Control · Mathematics 2015-09-15 Anatoly Zlotnik , Michael Chertkov , Scott Backhaus

This paper deals with the control of pumps in large-scale water distribution networks with the aim of minimizing economic costs while satisfying operational constraints. Finding a control algorithm in combination with a model that can be…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Mirhan Ürkmez , Carsten Kallesøe , Jan Dimon Bendtsen , John Leth

Increasing concerns on the security and quality of water distribution systems (WDS), call for computational tools with performance guarantees. To this end, this work revisits the physical laws governing water flow and provides a hierarchy…

Optimization and Control · Mathematics 2020-10-21 Manish K. Singh , Vassilis Kekatos

Graph neural networks are increasingly becoming the go-to approach in various fields such as computer vision, computational biology and chemistry, where data are naturally explained by graphs. However, unlike traditional convolutional…

Machine Learning · Computer Science 2021-10-28 Moshe Eliasof , Eldad Haber , Eran Treister

Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

Machine Learning · Computer Science 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause

In this paper, we propose a data-driven leak localization method for water distribution networks (WDNs) which combines two complementary approaches: graph-based interpolation and dictionary classification. The former estimates the complete…

Machine Learning · Computer Science 2021-10-14 Paul Irofti , Luis Romero-Ben , Florin Stoican , Vicenç Puig

We formulate a nonlinear optimal control problem for intra-day operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes, compressors, reservoirs, and wells are…

Optimization and Control · Mathematics 2021-05-06 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik , Russell Bent

The aim of this paper is to present how data collected from a water distribution network (WDN) can be used to reconstruct flow rate and flow direction all over the network to enhance knowledge and detection of unforeseen events. The…

Physics and Society · Physics 2018-07-27 Christophe Dumora , David Auber , Jérémie Bigot , Vincent Couallier , Cyril Leclerc

The provision of self-cleaning velocities has been shown to reduce the risk of discolouration in water distribution networks (WDNs). Despite these findings, control implementations continue to be focused primarily on pressure and leakage…

Optimization and Control · Mathematics 2023-02-06 Bradley Jenks , Filippo Pecci , Ivan Stoianov

Accurate overland runoff and infiltration predictions are critical for effective water resources management, in particular for urban flood management. However, the inherent uncertainty in rainfall patterns, soil properties, and initial…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Mohamad H. Kazma , Ahmad F. Taha

In the past, we have presented a systematic computational framework for analyzing self-similar and traveling wave dynamics in nonlinear partial differential equations (PDEs) by dynamically factoring out continuous symmetries such as…

The modeling and control of single-phase flow systems governed by Partial Differential Equations (PDEs) present challenges, especially under transient conditions. In this work, we extend the Physics-Informed Neural Nets for Control (PINC)…

Machine Learning · Computer Science 2025-06-09 Luis Kin Miyatake , Eduardo Camponogara , Eric Aislan Antonelo , Alexey Pavlov

Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system solved by computers. Due to complicated nature of the…

Computational Physics · Physics 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

This paper studies the problem of optimal placement of water quality (WQ) sensors in water distribution networks (WDNs), with a focus on chlorine transport, decay, and reaction models. Such models are traditionally used as suitable proxies…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Mohamad H. Kazma , Salma M. Elsherif , Ahmad F. Taha

Typical topology optimization methods require complex iterative calculations, which cannot meet the requirements of fast computing applications. The neural network is studied to reduce the time of computing the optimization result, however,…

Computational Physics · Physics 2024-01-12 Ce Guan , Jianyu Zhang , Zhen Li , Yongbo Deng

The numerical reconstruction of controls for nonlinear partial differential equations (PDEs) remains a challenging and relatively underdeveloped problem, despite the extensive literature on controllability theory. In this work, we introduce…

Optimization and Control · Mathematics 2026-05-26 Maximilian Kurbanov , Minh-Nhat Phung , Minh-Binh Tran

Water Distribution Networks (WDNs), critical to public well-being and economic stability, face challenges such as pipe blockages and background leakages, exacerbated by operational constraints such as data non-stationarity and limited…

Machine Learning · Computer Science 2025-08-25 Jin Li , Kleanthis Malialis , Stelios G. Vrachimis , Marios M. Polycarpou