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A Walnut optimization algorithm applied to discharge coefficient prediction on labyrinth weirs

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Abstract

Weirs are important hydraulic structures widely used to control the flow rates in open channels and rivers. The discharge coefficient is a vital parameter in computing flow rate over weirs. In this work, we introduce the Walnut algorithm, a new nature-inspired optimization strategy. Then, it is combined with support vector regression (SVR) to predict the discharge coefficient parameter of triangular labyrinth weirs. The proposed Walnut-SVR method takes a set of observations as inputs specified by five non-dimensional features and attempts to find the discharge coefficient of unseen records. Walnut algorithm is proposed for feature selection, and optimum values of SVR parameters are found. The proposed method is evaluated using the Kumar dataset and compared with several counterpart methods. The results show the superiority of the Walnut-SVR method compared to other counterparts with \(R^2 =0.986\), \(RMSE= 0.004\), \(SI=0.006\), \(\sigma =0.858\), and \(NSE=0.981\) on test dataset. Feature analysis shows that the proposed method obtained the best results when three geometric parameters, the ratio of the weir crest length to the weir height (L/w), the ratio of head over the crest to the weir height (h/w), and the vertex angle (\(\theta \)) are used.

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Authors and Affiliations

  1. Department of Computer Engineering, University of Bonab, Bonab, Iran

    Hojjat Emami

  2. Department of Water Engineering, University of Tabriz, Tabriz, Iran

    Somayeh Emami & Javad Parsa

Authors
  1. Hojjat Emami
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  2. Somayeh Emami
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  3. Javad Parsa
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Contributions

This paper presents a new swarm intelligence method, namely Walnut optimization algorithm. This algorithm obtains better performance compared with other optimization algorithms. The algorithm applied to discharge coefficient prediction on labyrinth weirs.

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Correspondence to Hojjat Emami.

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H. Emami declares that he has no conflict of interest.

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Emami, H., Emami, S. & Parsa, J. A Walnut optimization algorithm applied to discharge coefficient prediction on labyrinth weirs. Soft Comput 26, 12197–12215 (2022). https://doi.org/10.1007/s00500-022-07041-8

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