Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity

In this paper, the discharge coefficient prediction model for this structure in a subcritical flow regime is first established by extreme learning machine (ELM) and Bayesian network, and the model's performance is analyzed and verified in detail. In addition, the global sensitivity analysis met...

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Main Authors: Wuyi Wan, Guiying Shen, Shanshan Li, Abbas Parsaie, Yuhang Wang, Yu Zhou
Format: Article
Language:English
Published: IWA Publishing 2024-01-01
Series:Journal of Hydroinformatics
Subjects:
Online Access:http://jhydro.iwaponline.com/content/26/1/337
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author Wuyi Wan
Guiying Shen
Shanshan Li
Abbas Parsaie
Yuhang Wang
Yu Zhou
author_facet Wuyi Wan
Guiying Shen
Shanshan Li
Abbas Parsaie
Yuhang Wang
Yu Zhou
author_sort Wuyi Wan
collection DOAJ
description In this paper, the discharge coefficient prediction model for this structure in a subcritical flow regime is first established by extreme learning machine (ELM) and Bayesian network, and the model's performance is analyzed and verified in detail. In addition, the global sensitivity analysis method is introduced to the optimal prediction model to analyze the sensitivity for the dimensionless parameters affecting the discharge coefficient. The results show that the Bayesian extreme learning machine (BELM) can effectively predict the discharge coefficients of the symmetric stepped labyrinth side weir. The range of 95% confidence interval [−0.055,0.040] is also significantly smaller than that of the ELM ([−0.089,0.076]) and the Kernel extreme learning machine (KELM) ([−0.091,0.081]) at the testing stage. The dimensionless parameter ratio of upstream water depth of stepped labyrinth side weir p/y1 has the greatest effect on the discharge coefficient Cd, accounting for 55.57 and 54.17% under single action and other parameter interactions, respectively. Dimensionless step number bs/L has little effect on Cd, which can be ignored. Meanwhile, when the number of steps is less (N = 4) and the internal head angle is smaller (θ = 45°), a larger discharge coefficient value can be obtained. HIGHLIGHTS The discharge coefficient model of a symmetrical stepped labyrinth side weir is developed.; The quantitative model of the discharge coefficient is established.; The discharge characteristics of a symmetrical stepped labyrinth side weir are analyzed comprehensively.; The effects of different dimensionless parameters on the discharge coefficient are compared.;
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spelling doaj.art-f533464370f94064bfb9c9640cd142972024-04-16T13:35:39ZengIWA PublishingJournal of Hydroinformatics1464-71411465-17342024-01-0126133734910.2166/hydro.2023.260260Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivityWuyi Wan0Guiying Shen1Shanshan Li2Abbas Parsaie3Yuhang Wang4Yu Zhou5 Department of Hydraulic Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China Department of Hydraulic Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China, Xi'an University of Technology, Xi'an 710048, China Faculty of Water Sciences Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran Department of Hydraulic Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China Department of Hydraulic Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China In this paper, the discharge coefficient prediction model for this structure in a subcritical flow regime is first established by extreme learning machine (ELM) and Bayesian network, and the model's performance is analyzed and verified in detail. In addition, the global sensitivity analysis method is introduced to the optimal prediction model to analyze the sensitivity for the dimensionless parameters affecting the discharge coefficient. The results show that the Bayesian extreme learning machine (BELM) can effectively predict the discharge coefficients of the symmetric stepped labyrinth side weir. The range of 95% confidence interval [−0.055,0.040] is also significantly smaller than that of the ELM ([−0.089,0.076]) and the Kernel extreme learning machine (KELM) ([−0.091,0.081]) at the testing stage. The dimensionless parameter ratio of upstream water depth of stepped labyrinth side weir p/y1 has the greatest effect on the discharge coefficient Cd, accounting for 55.57 and 54.17% under single action and other parameter interactions, respectively. Dimensionless step number bs/L has little effect on Cd, which can be ignored. Meanwhile, when the number of steps is less (N = 4) and the internal head angle is smaller (θ = 45°), a larger discharge coefficient value can be obtained. HIGHLIGHTS The discharge coefficient model of a symmetrical stepped labyrinth side weir is developed.; The quantitative model of the discharge coefficient is established.; The discharge characteristics of a symmetrical stepped labyrinth side weir are analyzed comprehensively.; The effects of different dimensionless parameters on the discharge coefficient are compared.;http://jhydro.iwaponline.com/content/26/1/337discharge coefficientlabyrinth side weirmachine learningsensitivity analysis
spellingShingle Wuyi Wan
Guiying Shen
Shanshan Li
Abbas Parsaie
Yuhang Wang
Yu Zhou
Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
Journal of Hydroinformatics
discharge coefficient
labyrinth side weir
machine learning
sensitivity analysis
title Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
title_full Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
title_fullStr Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
title_full_unstemmed Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
title_short Analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
title_sort analysis of discharge characteristics of a symmetrical stepped labyrinth side weir based on global sensitivity
topic discharge coefficient
labyrinth side weir
machine learning
sensitivity analysis
url http://jhydro.iwaponline.com/content/26/1/337
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AT abbasparsaie analysisofdischargecharacteristicsofasymmetricalsteppedlabyrinthsideweirbasedonglobalsensitivity
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