Article information
2025 , Volume 30, ¹ 2, p.38-53
Skiba V.S., Khakimzyanov G.S.
Force impact of long surface waves on a body semi-immersed in water. II. Influence of the mooring wall
Purpose. When coastal structures are located in close proximity to each other, abnormally high free surface elevations can occur in the gap between them, which can lead to an extreme increase in the wave forces acting on them. This problem is called the Gap Resonance Problem and almost all previous studies have considered the case of short periodic waves. The purpose of this paper was to consider the case of long incident waves. Methods. In the present work we employ previously developed numerical algorithm based on a mathematical model of two-dimensional potential flows of an ideal fluid with a free boundary. Results. We determine the dependencies of the maximum runup and wave force on the amplitude and length of the incoming single wave, length and draught of the semi-immersed body and the distance between the body and the vertical impermeable wall. The parameter values that lead to the extremely large values of runup and wave forces are found. Conclusions. The gap resonance phenomenon can also occur for long incident waves. The runup on the back edge decreases as the gap between the body and the wall widens, the same as in the case of short periodic waves. The runup on the back edge of a body always exceeds the runup on the front edge, while the opposite is true for a body located far away from the wall. The maximum horizontal force acting on a vertical wall is mostly dependent on the amplitude of the incoming wave and is practically independent of the length of the body and its depth. When the gap width is greater than the resonance width, the maximums of the runup at the rear and front edges of the body, the load on the vertical wall and the vertical component of the wave force monotonically decrease as the distance from the mooring wall increases.
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Keywords: gap resonance problem, single wave, partially immersed structure, wave force, potential flow model, calculation results
doi: 10.25743/ICT.2025.30.2.004
Author(s): Skiba Vasiliy Savelevich Position: Junior Research Scientist Office: Federal Research Center for Information and Computational Technologies, Novosibirsk State University Address: 630090, Russia, Novosibirsk, 2, Pirogova Str.
SPIN-code: 3262-5300Khakimzyanov Gayaz Salimovich Dr. , Professor Position: Leading research officer Office: Federal Research Center for Information and Computational Technologies Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56 E-mail: khak@ict.nsc.ru SPIN-code: 3144-0877 References: 1. Gusev O.I., Khakimzyanov G.S., Chubarov L.B. Numerical investigation of the wave force on a partially immersed rectangular structure: long waves over a flat bottom. Ocean Engineering. 2021; (221):Art. 108540. 2. Gusev O.I., Khakimzyanov G.S., Skiba V.S., Chubarov L.B. Shallow water modeling of wave-structure interaction over irregular bottom. Ocean Engineering. 2023; (267):Art. 113284.
3. Gusev O.I., Khakimzyanov G.S., Skiba V.S., Chubarov L.B. Numerical modeling of the long surface wave impact on a partially immersed structure in a coastal zone. I. Solitary waves over a flat slope. Physics of Fluids. 2023; 35(2):Art. 087124.
4. Gusev O.I., Skiba V.S., Khakimzianov G.S., Chubarov L.B. Influence of bottom irregularity on the solitary-wave interaction with partially immersed rectangular body. Journal of Applied Mecha nics and Technical Physics. 2023; 64(1):50–63. DOI:10.1134/S0021894423010066. (In Russ.)
5. Belyaev N.D., Lebedev V.V., Nudner I.S., Semenov K.K., Shchemelinin D.I. Experimental determination of loads on a floating object under impact of tsunami waves. GeoRisk World. 2022; 16(1):20–30. (In Russ.) 6. Belyaev N.D., Lebedev V.V., Nudner I.S., Semenov K.K., Shchemelinin D.I. Method for calculating extreme loads on a floating object from the direct impact of tsunami waves based on experimental studies. Gidrotekhnicheskoe Stroitel’stvo. 2022; (3):46–50. (In Russ.) 7. Tan L., Lu L., Liu Y., Sabodash O.A., Teng B. Dissipative effects of resonant waves in confined space formed by floating box in front of vertical wall. Proceedings of the Eleventh ISOPE Pacific/Asia Offshore Mechanics Symposium. China: Shanghai; 2014: 250–255. 8. Miao G., Ishida H., Saitoh T. Influence of gaps between multiple floating bodies on wave forces. China Ocean Engineering. 2000; 14(4):407–422. 9. Miao G., Saitoh T., Ishida H. Water wave interaction of twin large scale caissons with a small gap between. Coastal Engineering Journal. 2001; 43(1):39–58.
10. Sun L., Taylor R.E., Taylor P.H. First- and second-order analysis of resonant waves between adjacent barges. Journal of Fluids and Structures. 2010; 26(6):954–978. 11. Liu Y., Li H.-J., Lu L., Li A.-J., Tan L. A Semi-analytical potential solution for wave resonance in gap between floating box and vertical wall. China Ocean Engineering. 2020; 34(6):747–759.
12. Saitoh T., Miao G., Ishida H. Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure. Proceedings of the 3rd Asia-Pacific Workshop on Marine Hydrodynamics. China: Shanghai; 2006: 170–175. 13. Iwata H., Saitoh T., Miao G. Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules. Proceedings of the 4th International Conference on Asian and Pacific Coasts. China: Nanjing; 2007: 815–826. 14. Clauss G.F., Dudek M., Testa D.Gapeffectsatside-by-sideLNG-transfer operations. Proceedings of the ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. Vol. 1: Offshore Technology. Nantes, France; 2013: V001T01A042. 15. Li X., Xu L.-Y., Yang J.-M. Study of fluid resonance between two side-by-side floating barges. Journal of Hydrodynamics. Ser. B. 2016; 28(5):767–777. 16. Xu X., Yang J.-M., Li X., Xu L. Hydrodynamic performance study of two side-by-side barges. Ships and Offshore Structures. 2014; 9(5):475–488. 17. Zhao W., Wolgamot H.A., Taylor P.H., Taylor R.E. Gap resonance and higher harmonics driven by focused transient wave groups. Journal of Fluid Mechanics. 2017; (812):905–939. 18. Li B., Cheng L., Deeks A.J., Teng B. A modified scaled boundary finite-element method for problems with parallel side-faces. Part II. Application and evaluation. Applied Ocean Research. 2005; 27(4–5):224–234.
19. Zhu H.-R., Zhu R.-C., Miao G.-P. A time domain investigation on the hydrodynamic resonance phenomena of 3-D multiple floating structures. Journal of Hydrodynamics. Ser. B. 2008; 20(5):611–616. 20. Li Y., Zhang C. Analysis of wave resonance in gap between two heaving barges. Ocean Engineering. 2016; (117):210–220. 21. Moradi N., Zhou T., Cheng L. Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity. Ocean Engineering. 2015; (103):88–102.
22. Feng X., Bai W., Chen X.B., Qian L., Ma Z.H. Numerical investigation of viscous effects on the gap resonance between side-by-side barges. Ocean Engineering. 2017; (145):44–58. 23. Jiang S.-C., Bai W., Tang G.-Q. Numerical simulation of wave resonance in the narrow gap between two non-identical boxes. Ocean Engineering. 2018; (156):38–60. 24. Meringolo D.D., Liu Y., Lu L. Energy analysis of wave resonance in a gap through an SPH model. Proceedings of the Twenty-Eighth International Ocean and Polar Engineering Conference. Sapporo, Japan; 2018: 338–344.
25. Gao J., Zang J., Chen L., Chen Q., Ding H., Liu Y. On hydrodynamic characteristics of gap resonance between two fixed bodies in close proximity. Ocean Engineering. 2019; (173):28–44. 26. Gao J., He Z., Zang J., Chen Q., Ding H., Wang G. Topographic effects on wave resonance in the narrow gap between fixed box and vertical wall. Ocean Engineering. 2019; (180):97–107. 27. Akrish G., Rabinovitch O., Agnon Y. Extreme run-up events on a vertical wall due to nonlinear evolution of incident wave groups. Journal of Fluid Mechanics. 2016; (797):644–664. 28. Carbone F., Dutykh D., Dudley J.M., Dias F. Extreme wave runup on a vertical cliff. Geophysi cal Research Letters. 2013; (40):3138–3143. 29. Ezersky A., Abcha N., Pelinovsky E. Physical simulation of resonant wave run-up on a beach. Nonlinear Processes in Geophysics. 2013; (20):35–40. 30. Khakimzyanov G.S. Numerical simulation of the interaction of a solitary wave with a partially immersed body. Russian Journal of Numerical Analysis and Mathematical Modelling. 2002; 17(2):145–158. 31. Afanasiev K.E., Berezin E.N.Analysis of dynamic characteristics in case of interaction of a solitary wave with an obstacle. Computational Technologies. 2004; 9(3):22–38. (In Russ.) 32. Khakimzyanov G.S., Dutykh D., Gusev O.I. Long wave interaction with a partially immersed body. Part II: numerical results. arXiv:2204.08210v1 [physics.flu-dyn]. 2022. DOI:10.48550/arXiv.2204.08210. 33. Madsen P.A., Fuhrman D.R., Sch¨ affer H.A.Onthesolitarywaveparadigmfortsunamis.Journal of Geophysical Research. 2008; (113):C12012. 34. Veloso Lima V., Avilez-Valente P., Viana Baptista M.A., Miranda J.M. Generation of N-waves in laboratory. Coastal Engineering. 2019; (148):1–18. DOI:10.1016/j.coastaleng.2019.02.012. 35. Pelinovsky E.N. Tsunami wave hydrodynamics. Nizhny Novgorod: IPF RAN; 1996: 276. (In Russ.) 36. Madsen P.A., Sch¨ affer H.A. Analytical solutions for tsunami runup on a plane beach: single waves, N-waves and transient waves. Journal of Fluid Mechanics. 2010; (645):27–57. 37. Gusev O.I., Skiba V.S., Khakimzyanov G.S. Force impact of long surface waves on a body se mi-immersed in water. I. Influence of the waveform. Computational Technologies. 2022; 27(4):33–62. DOI:10.25743/ICT.2022.27.4.004. (In Russ.) 38. Gusev O.I., Skiba V.S., Khakimzyanov G.S., Chubarov L.B. Numerical modeling of the impact of steep waves on partially immersed structures. Vestnik Bashkirskogo Universiteta. 2022; 27(3):496–501. (In Russ.) 39. Gusev O.I., Skiba V.S., KhakimzIanov G.S., Chubarov L.B. Numerical analysis of interaction between a solitary wave and a rectangular fixed semi-submerged body. Journal of Applied Mechanics and Technical Physics. 2023; 64(6):1046–1057. DOI:10.1134/S0021894423060159.
40. Nudner I.S., Semenov K.K., Khakimzyanov G.S., Shokina N.Yu. Investigations of the long marine waves interaction with the structures protected by the vertical barriers. Fundamental and Applied Hydrophysics. 2017; 10(4):31–43. (In Russ.)
41. Palagina A.A., Khakimzyanov G.S. Numerical simulation of surface waves in a basin with moving impermeable boundaries. Computational Technologies. 2019; 24(4):70–107. DOI:10.25743/ICT.2019.24.4.006. (In Russ.) 42. Khakimzyanov G., Dutykh D.Numericalmodellingofsurfacewaterwaveinteraction with a moving wall. Communications in Computational Physics. 2018; 23(5):1289–1354. 43. Skiba V.S., Khakimzyanov G.S. Chislennoe reshenie zadachi o vzaimodeystvii dlinnykh poverkh nostnykh voln s polupogruzhennymi v vodu konstruktsiyami v ramkakh dvumernoy modeli potentsial’ nykh techeniy [Numerical solution of the problem of the interaction of long surface waves with semi submerged structures within the framework of a two dimensional model of potential flows]. Certificate of State Registration of a Computer Program No. 2023682134 Dated 10.23.2023 (Federal Service for Intellectual Property). Available at: https://www1.fips.ru/ofpstorage/Doc/PrEVM/RUNWPR/000/ 002/023/682/134/2023682134-00001/document.pdf. (In Russ.) Bibliography link: Skiba V.S., Khakimzyanov G.S. Force impact of long surface waves on a body semi-immersed in water. II. Influence of the mooring wall // Computational technologies. 2025. V. 30. ¹ 2. P. 38-53
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