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Prediction of Hydraulic Jumps on a Triangular Bed Roughness Using Numerical Modeling and Soft Computing Methods

Author

Listed:
  • Mehdi Dasineh

    (Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh 8311155181, Iran)

  • Amir Ghaderi

    (Department of Civil Engineering, Faculty of Engineering, University of Zanjan, Zanjan 537138791, Iran)

  • Mohammad Bagherzadeh

    (Department of Civil Engineering, Faculty of Engineering, Urmia University, Urmia 5756151818, Iran)

  • Mohammad Ahmadi

    (Department of Civil Engineering, Faculty of Engineering, Shabestar Branch, Islamic Azad University, Shabestar 1584743311, Iran)

  • Alban Kuriqi

    (CERIS, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisbon, Portugal)

Abstract

This study investigates the characteristics of free and submerged hydraulic jumps on the triangular bed roughness in various T / I ratios (i.e., height and distance of roughness) using CFD modeling techniques. The accuracy of numerical modeling outcomes was checked and compared using artificial intelligence methods, namely Support Vector Machines (SVM), Gene Expression Programming (GEP), and Random Forest (RF). The results of the FLOW-3D ® model and experimental data showed that the overall mean value of relative error is 4.1%, which confirms the numerical model’s ability to predict the characteristics of the free and submerged jumps. The SVM model with a minimum of Root Mean Square Error (RMSE) and a maximum of correlation coefficient ( R 2 ), compared with GEP and RF models in the training and testing phases for predicting the sequent depth ratio ( y 2 / y 1 ), submerged depth ratio ( y 3 / y 1 ), tailwater depth ratio ( y 4 / y 1 ), length ratio of jumps ( L j / y 2 * ) and energy dissipation (Δ E / E 1 ), was recognized as the best model. Moreover, the best result for predicting the length ratio of free jumps ( L j f / y 2 * ) in the optimal gamma is γ = 10 and the length ratio of submerged jumps ( L j s / y 2 * ) is γ = 0.60. Based on sensitivity analysis, the Froude number has the greatest effect on predicting the ( y 3 / y 1 ) compared with submergence factors ( SF ) and T / I . By omitting this parameter, the prediction accuracy is significantly reduced. Finally, the relationships with good correlation coefficients for the mentioned parameters in free and submerged jumps were presented based on numerical results.

Suggested Citation

  • Mehdi Dasineh & Amir Ghaderi & Mohammad Bagherzadeh & Mohammad Ahmadi & Alban Kuriqi, 2021. "Prediction of Hydraulic Jumps on a Triangular Bed Roughness Using Numerical Modeling and Soft Computing Methods," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3135-:d:695490
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    References listed on IDEAS

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    1. Borrelli, A. & De Falco, I. & Della Cioppa, A. & Nicodemi, M. & Trautteur, G., 2006. "Performance of genetic programming to extract the trend in noisy data series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 104-108.
    2. Antoniadis, Anestis & Lambert-Lacroix, Sophie & Poggi, Jean-Michel, 2021. "Random forests for global sensitivity analysis: A selective review," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
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