2021
DOI: 10.1111/mice.12709
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Distributed and vectorized method of characteristics for fast transient simulations in water distribution systems

Abstract: Modeling transient flow in networked dynamical systems characterized by hyperbolic partial differential equations (PDEs) is essential to engineering applications. Solutions of hyperbolic PDEs are commonly found using the method of characteristics (MOC), particularly when modeling the water hammer phenomenon in water distribution systems (WDSs), which is critical for design and operation. For applications that require fast modeling, existing methods for speeding up traditional MOC simulations either trade off a… Show more

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Cited by 8 publications
(4 citation statements)
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“…It regards multiple decision points as a whole, and each individual can make the optimal selection of the game strategy of the next generation to be executed by himself. Moreover, the solutions of these participants are obtained after the solution to decide whether to continue or stop the operation and other processes, so as to maximize or minimize the overall decision-making, thus optimizing the overall benefit of the system and maximizing the global search ability [13][14]. In a distributed system, each task has to go through multiple decisions, and each scheme is composed of several non cooperative individuals, and also has an independent objective function.…”
Section: Hybrid Task Scheduling Algorithmmentioning
confidence: 99%
“…It regards multiple decision points as a whole, and each individual can make the optimal selection of the game strategy of the next generation to be executed by himself. Moreover, the solutions of these participants are obtained after the solution to decide whether to continue or stop the operation and other processes, so as to maximize or minimize the overall decision-making, thus optimizing the overall benefit of the system and maximizing the global search ability [13][14]. In a distributed system, each task has to go through multiple decisions, and each scheme is composed of several non cooperative individuals, and also has an independent objective function.…”
Section: Hybrid Task Scheduling Algorithmmentioning
confidence: 99%
“…Indeed, BIPquick's strategy of introducing phantom nodes to improve partition size balance might increase the overall computational cost of simulating a given system. Nevertheless, BIPquick is likely to prove valuable for water distribution models that use sub-discretization of links for transient analyses, e.g., Riaño-Briceño et al (2021), Duan et al (2020).…”
Section: Extended Applicationsmentioning
confidence: 99%
“…Secondly, localizing the origin of water-hammer waves necessitates a real-time high-frequency monitoring with widely distributed detectors, rarely deployed in WDNs. Thirdly, the computational cost of direct transient wave modeling in water distribution networks is very challenging either using the Method Of Characteristics (Wang et al, 2014;Nault et al, 2018;Meniconi et al, 2021;Moosavian and Lence, 2020;Riaño-Briceño et al, 2022), or finite volumes e.g (Pal et al, 2021;Zhang et al, 2021). Fourthly, an inverse method capable of identifying the origin of a reverberating water hammer wave over a large network, solving as many direct problems as tentative tries for possible origin, is obviously even more challenging.…”
Section: Introductionmentioning
confidence: 99%