Interaction of gravitational waves with permeable breakwater
DOI:
https://doi.org/10.32347/2411-4049.2022.2.96-111Keywords:
gravitational wave, permeable breakwater, numerical simulation, experimental research, high wave sensors, reflection and transmission waves, wave energy dissipationAbstract
A method for calculating the parameters of gravitational waves that interact with vertical permeable breakwaters, based on potential theory, has been developed and presented. The wave motion of a fluid was described by the velocity potential that satisfies the Laplace equation. The shape of the wave surface and the components of the velocity vector were determined. Numerical analysis of the influence of permeability of the vertical wall on wave energy adsorption was carried out. The propagation of surface gravitational waves in the linear formulation of problems in a channel with a vertical permeable obstacle was analyzed. The dependence of the wave reflection coefficient as a function of the wave transmission coefficient in accordance with the law of energy conservation was given. Experimental studies have been conducted to determine the features of the hydrodynamic interaction of sea waves and coastal protection structures of the permeable type. The experiments were performed in the laboratory in a wave channel with models of vertical slotted walls of different permeability. Visual and instrumental studies have shown the features of the interaction of the wave field with permeable breakwaters, the formation of reflection and transmission waves through the breakwater. It is established that vertical slotted walls, depending on the permeability, significantly affect the wave field, generate reflected waves and waves passing through the breakwater, as well as lead to a significant dissipation of wave energy. The dependences of the reflection and transmission coefficients of the wave, as well as the dissipation coefficient of the wave energy depending on the permeability of the slotted breakwater and the relative depth of the water area were given. It is shown that with increasing permeability of the breakwater the wave reflection coefficient decreased, and the wave transmission coefficient on the contrary increased. It was found that the reflection coefficient of the wave was increased with increasing relative depth, and the coefficient of wave propagation was decreased. The dissipation coefficient of the wave energy had the maximum value, which was observed for greater permeability of the breakwater, when the relative depth compared to the wavelength was increased.
References
Sundar, V., Sannasiraj, S.A., Sriram, V., & Nowbuth, M.D. (Eds.) (2021). Proceedings of the Fifth International Conference in Ocean Engineering (ICOE2019), Lecture Notes in Civil Engineering 106. Springer Nature Singapore Pte Ltd. doi: https://doi.org/10.1007/978-981-15-8506-7
Mors’ka doktryna Ukraine na period do 2035. (2020). Postanova Kabinety Ministriv Ukraine vid 18 grudnya 2018 r. № 1108 (Іz zminamy, vnesenymy zgidno z Postanovoyu KM № 1023 vid 28.10.2020) [In Ukrainian].
Eaton, M.J., Johnson, F.A., Mikels-Carrasco, J., et al. (2021). Cape Romain Partnership for Coastal Protection. U.S. Geological Survey Open-File Report 2021–1021. doi: https://doi.org/10.3133/ofr20211021
Voskoboinick, V., Khomitsky, V., Voskoboinyk, O., Tereshchenko, L., & Voskoboinick, A. (2021). Wave loads on protective dam of the Marine channel of the Danube-Black sea. Hydro-environment Research, 35(3), 1-12. doi: https://doi.org/10.1016/j.jher.2021.01.003
Alkhalidi, M., Alanjari, N., & Neelamani, S. (2020). Wave interaction with single and twin vertical and sloped slotted walls. J. Mar. Sci. Eng., 8, 589-1-23. doi: https://doi.org/10.3390/jmse8080589
Selezov, I.T., Kryvonos, Yu.G., & Gandzha, I.S. (Eds.) (2018). Wave propagation and diffraction. Mathematical methods and applications. Springer. doi: https://doi.org/10.1007/978-981-10-4923-1
Khimich, A.N., Selezov, I.T., & Sydoruk, V.A. (2020). Simulation of elastic wave diffraction by a sphere in semibounded region. Reports (Dohovidi) of NAS of Ukraine, 10, 22-27. doi: https://doi.org/10.15407/dopovidi2020.10.022
Poguluri, S.K., & Cho, I.H. (2021). Wave dissipation over a horizontal slotted plate with a leeside vertical seawall: analytical and numerical approaches. Coastal Engineering J., 63(1), 52-67. doi: https://doi.org/10.1080/21664250.2020.1850396
Choopanizade, M.J., Bakhtiari, M., & Rostami, M. (2020). Wave transmission through the perforated half-depth block-made wall breakwater: An experimental study. Ocean Engineering, 215, 107895-1-9. doi: https://doi.org/10.1016/j.oceaneng.2020.107895
Bendat, Ju.S, & Piersol, А.G. (2010). Random Data: Analysis and Measurement Procedure, Wiley.
Vinogradnyi, G.P., Voskoboinick, V.A., Grinchenko, V.T., & Makarenkov, A.P. (1989). Spectral and correlation characteristics of the turbulent boundary layer on an extended flexible cylinder. J. Fluid Dyn., 24(5), 695-700. doi: https://doi.org/10.1007/BF01051721
Voskoboinick, V.A., Voskoboinick, A.A., Turick, V.N., & Voskoboinick, A.V. (2020). Space and time characteristics of the velocity and pressure fields of the fluid flow inside a hemispherical dimple generator of vortices. Journal of Engineering Physics and Thermophysics, 93(5), 1205-1220. doi: https://doi.org/10.1007/s10891-020-02223-3
Whitham, G.B. (1999). Linear and nonlinear waves. John Wiley & Sons. doi: https://doi.org/10.1002/9781118032954
Le Mehaute, B. (1976). An introduction to hydrodynamics and water waves. Springer-Verlag. doi: https://doi.org/10.1007/978-3-642-85567-2
Voskoboinick, V., Kornev, N., & Turnow, J. (2013). Study of near wall coherent flow structures on dimpled surfaces using unsteady pressure measurements. Flow Turbulence Combust., 90(4), 709-722. doi: https://doi.org/10.1007/s10494-012-9433-9
Voskoboinick, V.A., Voskoboinick, A.V., Areshkovych, O.O., & Voskoboinyk, O.A. (2016). Pressure fluctuations on the scour surface before prismatic pier. In Proc. 8th International Conference on Scour and Erosion (ICSE 2016) 12-15 September 2016. (pp. 905-910). Oxford, UK. doi: https://doi.org/10.1201/9781315375045-115
Voskobijnyk, A.V., Voskoboinick, V.A., Voskoboinyk, O.A., Tereshchenko, L.M., & Khizha, I.A. (2016). Feature of the vortex and the jet flows around and inside the three-row pile group. In Proc. 8th International Conference on Scour and Erosion (ICSE 2016) 12-15 September 2016. (pp. 897-903). Oxford, UK. doi: https://doi.org/10.1201/9781315375045-114
Voskoboinick, A., Voskoboinick, V., Turick, V., Voskoboinyk, O., Cherny, D., & Tereshchenko, L. (2021). Interaction of group of bridge piers on scour. In Z. Hu, S. Petoukhov, I. Dychka, M. He (Eds.), Advances in Computer Science for Engineering and Education III. ICCSEEA 2020. Advances in Intelligent Systems and Computing, Vol. 1247. (pp. 3-17). Springer. doi: https://doi.org/10.1007/978-3-030-55506-1_1
Voskoboinick, V.A., Gorban, I.M., Voskoboinick, A.A., Tereshchenko, L.N., & Voskoboinick, A.V. (2021). Junction flow around cylinder group on flat plate. In V.A. Sadovnichiy, M.Z. Zgurovsky (Eds.), Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Understanding Complex Systems. (pp. 35-50). Springer. doi: https://doi.org/10.1007/978-3-030-50302-4_3
Koraim, A.S. (2014). Hydraulic characteristics of pile-supported L-shaped bars used as a screen breakwater. Ocean Engineering, 83, 36-51. doi: https://dx.doi.org/10.1016/j.oceaneng.2014.03.016
Reddy, M.S., & Neelamani, S. (1992). Wave transmission and reflection characteristics of a partially immersed rigid vertical barrier. Ocean Engineering, 19(3), 313-325. doi: https://doi.org/10.1016/0029-8018(92)90032-Y
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Selezov I.T., Voskoboinick V.A., Voskoboinyk O.A., Kharchenko A.G., Voskoboinick A.V.
This work is licensed under a Creative Commons Attribution 4.0 International License.
The journal «Environmental safety and natural resources» works under Creative Commons Attribution 4.0 International (CC BY 4.0).
The licensing policy is compatible with the overwhelming majority of open access and archiving policies.
