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

N Noran M. Abdelazim M Mohamed Hosny F Fahmy S. Abdelhaleem A Ahmed M. Elshenhab A Amir Ibrahim

Abstract

Abstract Enhancing the precision of discharge coefficient (C d ) prediction holds paramount importance for effective Water distribution control. Calculating the C d 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 C d 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.

Article Details

Volume / Issue Vol. 16, Issue 1
Published March 03, 2026
ISSN 2045-2322
Publisher Nature Portfolio

Journal Info

Scientific Reports

Nature Portfolio

ISSN: 2045-2322 Open Access Life Sciences

Authors (5)

N

Noran M. Abdelazim

M

Mohamed Hosny

F

Fahmy S. Abdelhaleem

A

Ahmed M. Elshenhab

A

Amir Ibrahim