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

  • Fabio Caldarola
  • Mario MaioloEmail author
Conference paper
  • 19 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11973)

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.

Keywords

Mathematical modeling Linear algebra Urban water networks Performance indices EPANET 2.0.12 

Notes

Aknowledgments

This work is partially supported by the research projects “origAMI, Original Advanced Metering Infrastructure”, CUP J48C17000170006, POR Calabria FESR-FSE 2014–2020, and “I-BEST”, CUP B28I17000290008, PON “Innovazione e competitività” 2014/2020 MiSE Horizon 2020.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversità della CalabriaArcavacata di RendeItaly
  2. 2.Department of Environmental and Chemical Engineering (DIATIC) Università della CalabriaArcavacata di RendeItaly

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