Abstract
In this paper, we address a problem in the field of hydraulics which is also relevant in terms of sustainability. Hydraulic jump is a physical phenomenon that occurs both for natural and man-made reasons. Its importance relies on the exploitation of the intrinsic energy dissipation characteristics and on the other hand the danger that might produce on bridges and river structures as a consequence of the interaction with the large vortex structures that are generated. In the present work, we try to address the problem of estimating the hydraulic jump roller length, whose evaluation is inherently affected by empirical errors related to its dissipative nature. The problem is approached using a regression model and exploiting a dataset of observations. Regression is performed by minimising the loss function using ten different black-box optimisers. In particular, we selected some of the most used metaheuristics, such as Evolution Strategies, Particle Swarm Optimisation, Differential Evolution and others. Furthermore, an experimental analysis has been conducted to validate the proposed approach and compare the effectiveness of the metaheuristics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The data set is available with the supplementary data at https://doi.org/10.5281/zenodo.7595510.
References
Agresta, A., Baioletti, M., Biscarini, C., Caraffini, F., Milani, A., Santucci, V.: Using optimisation meta-heuristics for the roughness estimation problem in river flow analysis. Appl. Sci. 11(22), 10575 (2021)
Agresta, A., Baioletti, M., Biscarini, C., Milani, A., Santucci, V.: Evolutionary Algorithms for Roughness Coefficient Estimation in River Flow Analyses. In: Castillo, P.A., Jiménez Laredo, J.L. (eds.) EvoApplications 2021. LNCS, vol. 12694, pp. 795–811. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-72699-7_50
Andersson, J., Oliveira, D.R., Yeginbayeva, I., Leer-Andersen, M., Bensow, R.E.: Review and comparison of methods to model ship hull roughness. Appl. Ocean Res. 99, 102119 (2020)
Bélanger, J.: Essay on the numerical solution of some problems relative to steady flow of water. Paris, France, Carilian-Goeury (1828)
Carollo, F., Ferro, V.: Contributo allo studio della lunghezza del risalto libero su fondo liscio e scabro. Rivista di Ingegneria Agraria 35(4), 13–20 (2004). (in Italian)
Carollo, F., Ferro, V.: Determinazione delle altezze coniugate del risalto libero su fondo liscio e scabro. Rivista di Ingegneria Agraria 35(4), 1–11 (2004)
Carollo, F.G., Ferro, V., Pampalone, V.: Hydraulic jumps on rough beds. J. Hydraul. Eng. 133(9), 989–999 (2007)
Cauwet, M.L., et al.: Fully parallel hyperparameter search: reshaped space-filling. In: International Conference on Machine Learning, pp. 1338–1348. PMLR (2020)
Derrac, J., García, S., Molina, D., Herrera, F.: A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comp. 1(1), 3–18 (2011)
Di Francesco, S., Biscarini, C., Manciola, P.: Characterization of a flood event through a sediment analysis: The tescio river case study. Water 8(7), 308 (2016)
Ead, S.A., Rajaratnam, N.: Hydraulic jumps on corrugated beds. J. Hydraul. Eng. 128(7), 656–663 (2002)
Gao, F., Han, L.: Implementing the nelder-mead simplex algorithm with adaptive parameters. Comput. Optim. Appl. 51(1), 259–277 (2012)
Gul, E., Dursun, O.F., Mohammadian, A.: Experimental study and modeling of hydraulic jump for a suddenly expanding stilling basin using different hybrid algorithms. Water Supply 21(7), 3752–3771 (2021)
Hager, W.H., Bremen, R., Kawagoshi, N.: Classical hydraulic jump: length of roller. J. Hydraul. Res. 28(5), 591–608 (1990)
Hager, W.: Energy Dissipators and Hydraulic Jumps, vol. 8. Kluwer Academic Publication, Dordrecht, The Netherlands (1992)
Hager, W.H., Bremen, R.: Classical hydraulic jump: sequent depths. J. Hydraul. Res. 27(5), 565–585 (1989)
Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolution strategies. Evol. Comput. 9(2), 159–195 (2001)
Hollander, M., Wolfe, D.A., Chicken, E.: Nonparametric statistical methods, vol. 751. John Wiley & Sons (2013)
Hughes, W.C., Flack, J.E.: Hydraulic jump properties over a rough bed. J. Hydraul. Eng. 110(12), 1755–1771 (1984)
Karbasi, M.: Estimation of classical hydraulic jump length using teaching-learning based optimization algorithm. J. Mater. Environ. Sci. 7, 2947–2954 (2016)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948 (1995)
Kim, J.H.: Estimating classification error rate: repeated cross-validation, repeated hold-out and bootstrap. Comp. Stat. Data Anal. 53(11), 3735–3745 (2009)
Rajaratnam, N.: The hydraulic jump as a well jet. J. Hydraul. Div. 91(5), 107–132 (1965). https://doi.org/10.1061/JYCEAJ.0001299
Rao, N.S.G.: Ramaprasad: application of momentum equation in the hydraulic jump. La Houille Blanche 52(4), 451–453 (1966)
Rapin, J., Teytaud, O.: Nevergrad - A gradient-free optimization platform. https://GitHub.com/FacebookResearch/Nevergrad (2018)
Rapin, J., Bennet, P., Centeno, E., Haziza, D., Moreau, A., Teytaud, O.: Open source evolutionary structured optimization. In: Proceedings of the 2020 Genetic and Evolutionary Computation Conference Companion, pp. 1599–1607 (2020)
Safranez, K.: Wechselsprung und die energievernichtung des wassers. Bauingenieur 8(49), 898–905 (1927)
Santucci, V., Baioletti, M., Di Bari, G.: An improved memetic algebraic differential evolution for solving the multidimensional two-way number partitioning problem. Expert Syst. Appl. 178, 114938 (2021)
Santucci, V., Baioletti, M., Milani, A.: An algebraic differential evolution for the linear ordering problem. In: Proceedings of the Companion Publication of the 2015 Annual Conference on Genetic and Evolutionary Computation, pp. 1479–1480 (2015)
Santucci, V., Milani, A.: Particle swarm optimization in the EDAs framework. Soft Comput. Ind. Appl. 96, 87–96 (2011)
Smetana, J.: Studi sperimentali sul salto di Bidone libero e annegato. Energ. Elettr. 24(10), 829–835 (1937)
Storn, R., Price, K.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341–359 (1997)
Yao, X., Liu, Y.: Fast evolution strategies. In: Angeline, P.J., Reynolds, R.G., McDonnell, J.R., Eberhart, R. (eds.) EP 1997. LNCS, vol. 1213, pp. 149–161. Springer, Heidelberg (1997). https://doi.org/10.1007/BFb0014808
Acknowledgement
This work was partially supported by the following research grants from “Università per Stranieri di Perugia”: (i) “Finanziamento Dipartimentale alla Ricerca FDR 2022”, (ii) “Artificial Intelligence for Education, Social and Human Sciences”, (iii) “Progettazione e sviluppo di strumenti digitali per la formazione a distanza”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Agresta, A., Biscarini, C., Caraffini, F., Santucci, V. (2023). An Intelligent Optimised Estimation of the Hydraulic Jump Roller Length. In: Correia, J., Smith, S., Qaddoura, R. (eds) Applications of Evolutionary Computation. EvoApplications 2023. Lecture Notes in Computer Science, vol 13989. Springer, Cham. https://doi.org/10.1007/978-3-031-30229-9_31
Download citation
DOI: https://doi.org/10.1007/978-3-031-30229-9_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-30228-2
Online ISBN: 978-3-031-30229-9
eBook Packages: Computer ScienceComputer Science (R0)