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Towards an Efficient Implementation of an Accurate SPH Method Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Algebraic Tools and New Local Indices for Water Networks:Some Numerical Examples

Authors : Fabio Caldarola, Mario Maiolo

Published in: Numerical Computations: Theory and Algorithms

Publisher: Springer International Publishing

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Abstract

Very recently, a new set of local indices for urban water networks has been proposed by the authors, within a mathematical framework which is unprecedented for this field, as far as we know. Such indices can be viewed as the “elementary bricks” that can be used to construct as many global (and local) indices as one needs or wants, where the glue, or mortar, is given by the mathematical tools of the aforementioned framework coming mostly from linear algebra and vector analysis. In this paper, after a brief description of the setting as explained above, we recover, through new formulations, some well-known global indicators like the resilience index \(I_r\) introduced by Todini. Then we also give some explicit numerical computations and examples, sometimes with the help of the hydraulic software EPANET 2.0.12.

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previous chapter Performance Management of Demand and Pressure Driven Analysis in a Monitored Water Distribution Network
next chapter Identification of Contamination Potential Source (ICPS): A Topological Approach for the Optimal Recognition of Sensitive Nodes in a Water Distribution Network
Footnotes
1
The linear algebra foundation, in this case, is clear even from the name: MATrix LABoratory.
 
2
Our value for \(I_{r}\) is very close to 0.47, the one computed in [21, Tab. 3].
 
3
The result, this time, agrees perfectly with 0.48 calculated in [21, Tab. 3].
 
4
Being the two WDNs so similar and being dimension and complexity so small, a “criticality” of one WDN with respect to the other must obviously be understood in an appropriate sense...
 
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Metadata
Title
Algebraic Tools and New Local Indices for Water Networks:Some Numerical Examples
Authors
Fabio Caldarola
Mario Maiolo
Copyright Year
2020
Book
Numerical Computations: Theory and Algorithms

Print ISBN: 978-3-030-39080-8

Electronic ISBN: 978-3-030-39081-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-39081-5_44

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