publication . Article . Other literature type . 2018

Scaling-Laws of Flow Entropy with Topological Metrics of Water Distribution Networks

Carlo Giudicianni; Roberto Greco;
Open Access English
  • Published: 30 Jan 2018 Journal: Entropy (issn: 1099-4300, Copyright policy)
  • Publisher: MDPI AG
  • Country: Italy
Robustness of water distribution networks is related to their connectivity and topological structure, which also affect their reliability. Flow entropy, based on Shannon’s informational entropy, has been proposed as a measure of network redundancy and adopted as a proxy of reliability in optimal network design procedures. In this paper, the scaling properties of flow entropy of water distribution networks with their size and other topological metrics are studied. To such aim, flow entropy, maximum flow entropy, link density and average path length have been evaluated for a set of 22 networks, both real and synthetic, with different size and topology. The obtaine...
free text keywords: scaling laws, power laws, water distribution networks, robustness, flow entropy, Science, Q, Astrophysics, QB460-466, Physics, QC1-999, General Physics and Astronomy
Download fromView all 4 versions
Article . 2018
Article . 2018
Provider: Crossref
Provider: UnpayWall
71 references, page 1 of 5

1. Greco, R.; Di Nardo, A.; Santonastaso, G.F. Resilience and entropy as indices of robustness of water distribution networks. J. Hydroinform. 2012, 14, 761-771. [CrossRef]

2. Ghosh, A. Scaling Laws. In Mechanics over Micro and Nano Scales; Chakraborty, S., Ed.; Springer: New York, NY, USA, 2011.

3. Rodriguez-Iturbe, I.; Rinaldo, A. Fractal River Basins: Chance and Self Organization; Cambridge University Press: Cambridge, UK, 1996; ISBN 0521473985.

4. Hubert, P.; Tessier, Y.; Lovejoy, S.; Schertzer, D.; Schmitt, F.; Ladoy, P.; Carbonnel, J.P.; Violette, S. Multifractals and extreme rainfall events. Geophys. Res. Lett. 1993, 20, 931-934. [CrossRef] [OpenAIRE]

5. Jennings, A.H. World's greatest observed point rainfalls. Mon. Weather Rev. 1950, 78, 4-5. [CrossRef]

6. Galmarini, S.; Steyn, D.G.; Ainslie, B. The scaling law relating world point-precipitation records to duration. Int. J. Climatol. 2004, 24, 533-546. [CrossRef] [OpenAIRE]

7. Kolmogorov, A.N. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Proc. R. Soc. A 1991, 434, 9-13. [CrossRef]

8. Frisch, U.; Sulem, P.; Nelkin, M. A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech. 1978, 87, 719-736. [CrossRef]

9. Arrault, J.; Arnéodo, A.; Davis, A.; Marshak, A. Wavelet based multifractal analysis of rough surfaces: Application to cloud models and satellite data. Phys. Rev. Lett. 1997, 79, 75-78. [CrossRef] [OpenAIRE]

10. Badin, G.; Domeisen, D.I.V. Nonlinear stratospheric variability: Multifractal detrended fluctuation analysis and singularity spectra. Proc. R. Soc. A 2016, 472, 20150864. [CrossRef] [PubMed]

11. Agarwal, S.; Moon, W.; Wettlaufer, J. Trends, noise and re-entrant long-term persistence in Arctic sea ice. Proc. R. Soc. A 2012, 468, 2416-2432. [CrossRef]

12. Albert, R.; Barabási, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 2002, 74, 47. [CrossRef]

13. Boccaletti, S.; Latora, V.; Moreno, Y.; Chavez, M. Hwanga, D.U. Complex networks: Structure and dynamics. Phys. Rep. 2006, 424, 175-308. [CrossRef]

14. Maier, H.R.; Lence, B.J.; Tolson, B.A.; Foschi, R.O. First-order reliability method for estimating reliability, vulnerability, and resilience. Water Resour. Res. 2001, 37, 779-790. [CrossRef] [OpenAIRE]

15. Yazdani, A.; Jeffrey, P. A complex network approach to robustness and vulnerability of spatially organized water distribution networks. Phys. Soc. 2010, 15, 1-18.

71 references, page 1 of 5
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue