A novel stacking ensemble model for predicting discharge coefficient of submerged multi parallel radial gates

Enhancing the precision of discharge coefficient (Cd) prediction holds paramount importance for effective Water distribution control. Calculating the Cd for radial gates is often complex, with existing methods frequently depending on intricate procedures and underlying assumptions. This study introduces a deep learning-based stacking ensemble model for Cd prediction. The proposed model comprises a dual-layer structure. Four machine learning algorithms are exploited as baseline models. The Meta model employed long short-term memory (LSTM) with attention mechanism to amalgamate the outputs from the base models and assign sufficient weight to each base model. The spatial attention mechanism effectively highlighted relevant patterns within the data. The proposed model achieved an impressive root mean square error of 0.0175. The ensemble model outperformed existing longstanding models. The proposed system holds substantial strategic importance, enabling optimal water resource management.

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Publication Details

Journal
Scientific Reports
Published
2026-03-03
DOI
https://doi.org/10.1038/s41598-026-38117-2
Primary Topic
Water Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

A novel stacking ensemble model for predicting discharge coefficient of submerged multi parallel radial gates

Ahmed M. Elshenhab, Amir Ibrahim, Mohamed Hosny, Fahmy Abdelhaleem et al.
Scientific Reports
Water Systems and Optimization
article

A novel stacking ensemble model for predicting discharge coefficient of submerged multi parallel radial gates

Ahmed M. Elshenhab, Amir Ibrahim, Mohamed Hosny, Fahmy Abdelhaleem, Noran M. Abdelazim
article en

Abstract

Enhancing the precision of discharge coefficient (Cd) prediction holds paramount importance for effective Water distribution control. Calculating the Cd for radial gates is often complex, with existing methods frequently depending on intricate procedures and underlying assumptions. This study introduces a deep learning-based stacking ensemble model for Cd prediction. The proposed model comprises a dual-layer structure. Four machine learning algorithms are exploited as baseline models. The Meta model employed long short-term memory (LSTM) with attention mechanism to amalgamate the outputs from the base models and assign sufficient weight to each base model. The spatial attention mechanism effectively highlighted relevant patterns within the data. The proposed model achieved an impressive root mean square error of 0.0175. The ensemble model outperformed existing longstanding models. The proposed system holds substantial strategic importance, enabling optimal water resource management.

Scientific ReportsVol. 16(1)
King Fahd University of Petroleum and Minerals (SA), Mansoura University (EG), Benha University (EG), Canadian International College (EG)
Science and Technology Development Fund
Clean water and sanitation
Openalex Percentile: Top 37%
Water Systems and Optimization
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A novel stacking ensemble model for predicting discharge coefficient of submerged multi parallel radial gates — Ahmed M. Elshenhab, Amir Ibrahim, et al. · Scientific Reports (2026) | TGRS Research Map | TGRS