MATHEMATICAL MODELING OF WATER MOVEMENT DURING A DAM BREAK USING THE VOF METHOD
DOI:
https://doi.org/10.37943/14NEBW7927Keywords:
dam break, VOF method, PISO algorithm, numerical simulationAbstract
River valleys in mountainous areas are often subject to heavy rains and melting glaciers, resulting in the risk of mudflows and the destruction of hydraulic protective structures. In order to minimize the potential risk and negative outcomes of a disaster, both on an individual and environmental scale, it is crucial to possess essential information. This includes understanding the timing, location, and extent of flooding, as well as comprehending the force of water flow impact on protective structures. In the research, the numerical process of the movement of the water flow caused by the breakthrough of the dam is investigated. A two-dimensional numerical model of water flow during a dam break was constructed using the VOF method to describe the described process. With the help of the VOF method, the movement of the water surface is captured, while maintaining the law of conservation of mass. The mathematical model consists of Reynolds-averaged incompressible Navier-Stokes equations and includes the interphase equation. The turbulent k-e model was used to close the system of equations. The numerical algorithm used is PISO (Pressure-Implicit with Splitting of Operators). The obtained numerical results agree with the experimental data, indicating the developed algorithm’s reliability and accuracy. The results are presented as comparative graphs and images showing the contour of the free surface movement along the experimental reservoir. A numerical model that has been tested in this way can provide significant support in preventing the devastating consequences of a dam break and providing timely assistance during the evacuation of the population.
References
Bahmanpouri, F., Daliri, M., Khoshkonesh, A., Montazeri Namin, M., & Buccino, M. (2021). Bed compaction effect on dam-break flow over erodible bed; experimental and numerical modeling. Journal of Hydrology, 594, 125645. https://doi.org/10.1016/j.jhydrol.2020.125645
Cao, Z. , Pender, G. , Wallis, S. , & Carling, P. (2004). Computational Dam-Break Hydraulics over Erod- ible Sediment Bed. Journal of Hydraulic Engineering, 130(7), 689–703. https://doi.org/10.1061/ (asce)0733-9429(2004)130:7(689)
Wu, W., & Wang, S. S. Y. (2008). One-dimensional explicit finite-volume model for sediment transport. Journal of Hydraulic Research, 46(1), 87–98. https://doi.org/10.1080/00221686.2008.9521846
Jeong, W., Yoon, J.-S., & Cho, Y.-S. (2012). Numerical study on effects of building groups on dam-break flow in urban areas. Journal of Hydro-Environment Research, 6(2), 91–99. https://doi.org/10.1016/j.jher.2012.01.001
Simsek, O., Islek, H. (2023). 2D and 3D numerical simulations of dam-break flow problem with RANS, DES, and LES. Ocean Engineering, 276, 114298. https://doi.org/10.1016/j.oceaneng.2023.114298
Yang, S. , Yang, W. , Zhang, C. , Qin, S. , Wei, K. , Zhang, J. (2022). Experimental and numerical study on the evolution of wave front profile of dam-break waves. Ocean Engineering, 247, 110681. https://doi.org/10.1016/j.oceaneng.2022.110681
Wang, B., Liu, W., Wang, W., Zhang, J., Chen, Y., Peng, Y., ... Yang, S. (2020). Experimental and numerical investigations of similarity for dam-break flows on wet bed. Journal of Hydrology, 124598. https://doi.org/10.1016/j.jhydrol.2020.124598
Mukhamediev, R., Amirgaliyev, Y., Kuchin, Y., Aubakirov, M., Terekhov, A., Merembayev, T., ... & Tabynbayeva, L. (2023). Operational Mapping of Salinization Areas in Agricultural Fields Using Machine Learning Models Based on Low-Altitude Multispectral Images. Drones, 7(6), 357. https://doi. org/10.3390/drones7060357
Kazidenov, D., Khamitov, F., & Amanbek, Y. (2023). Coarse-graining of CFD-DEM for simulation of sand production in the modified cohesive contact model. Gas Science and Engineering, 113, 204976. https://doi.org/10.1016/j.jgsce.2023.204976
Rakhimzhanova, A., Thornton, C., Amanbek, Y., & Zhao, Y. (2022). Numerical simulations of sand production in oil wells using the CFD-DEM-IBM approach. Journal of Petroleum Science and Engineering, 208, 109529. https://doi.org/10.31224/osf.io/pkteu
Xu, T., Huai, W., Liu, H. (2023). MPS-based simulation of dam-break wave propagation over wet beds with a sediment layer. Ocean Engineering, 281, 115035. https://doi.org/10.1016/j. oceaneng.2023.115035
Jafari, E., Namin, M.M., & Badiei, P. (2021). Numerical simulation of wave interaction with porous structures. Applied Ocean Research, 108, 102522. https://doi.org/10.1016/j.apor.2020.102522
Zhao, X., Liang, D., & Martinelli, M. (2017). Numerical Simulations of Dam-break Floods with MPM. Procedia Engineering, 175, 133–140. https://doi.org/10.1016/j.proeng.2017.01.041
Chang, C.-C., Wu, Y.-T. (2023). SPH modeling of dam-break bores on smooth and macro-roughness slopes. Ocean Engineering, 279, 114484. https://doi.org/10.1016/j.oceaneng.2023.114484
Hu, C., & Kashiwagi, M. (2004). A CIP-based method for numerical simulations of violent free-surface flows. Journal of Marine Science and Technology, 9(4), 143–157. https://doi.org/10.1007/s00773-004-0180-z
Ferziger J.H., & Peric M. (2002). Computational Methods for Fluid Dynamics. Springer-Verlag.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Articles are open access under the Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish a manuscript in this journal agree to the following terms:
- The authors reserve the right to authorship of their work and transfer to the journal the right of first publication under the terms of the Creative Commons Attribution License, which allows others to freely distribute the published work with a mandatory link to the the original work and the first publication of the work in this journal.
- Authors have the right to conclude independent additional agreements that relate to the non-exclusive distribution of the work in the form in which it was published by this journal (for example, to post the work in the electronic repository of the institution or publish as part of a monograph), providing the link to the first publication of the work in this journal.
- Other terms stated in the Copyright Agreement.