Acknowledgement
This research was funded by the National Natural Science Foundation of China, grant No. 11802301 and No. 11802176.
References
- Bole, J.B., Ebbesmeyer, C.C., Romea, R.D., 1994. Soliton currents in the South China sea: measurements and theoretical modeling. OTC 7417. In: 26th Annual Offshore Technology Conference, pp. 367-376. Houston, Texas. https://www.onepetro.org/download/conference-paper/OTC-7417-MS?id=conference-paper%2FOTC-7417-MS.
- Cai, S., Long, X., Gan, Z., 2003. A method to estimate the forces exerted by internal solitons on cylindrical piles. Ocean Eng. 30, 673-689. https://www.sciencedirect.com/science/article/pii/S0029801802000380. https://doi.org/10.1016/S0029-8018(02)00038-0
- Cai, S., Wang, S., Long, X., 2006. A simple estimation of the force exerted by internal solitons on cylindrical piles. Ocean Eng. 33 (7), 974-980. https://www.sciencedirect.com/science/article/pii/S0029801805001940. https://doi.org/10.1016/j.oceaneng.2005.05.012
- Cai, S., Long, X., Wang, S., 2008. Forces and torques exerted by internal solitons in shear flows on cylindrical piles. Appl. Ocean Res. 30 (1), 72-77. https://www.sciencedirect.com/science/article/pii/S0141118708000138. https://doi.org/10.1016/j.apor.2008.03.001
- Camassa, R., Choi, W., Michallet, H., Rusas, P.O., Sveen, J.K., 2006. On the realm of validity of strongly nonlinear asymptotic approximations for internal waves. J. Fluid Mech. 549, 1-23. https://www.researchgate.net/publication/231874141_On_the_realm_of_validity_of_strongly_nonlinear_asymptotic_approximations_for_internal_waves. https://doi.org/10.1017/S0022112005007226
- CHEN, J.H., 1996. Liuhua 11-1 deep sea oil-field development project in South China Sea. Chin. Offshore Platform 11 (1), 43-45. https://www.ixueshu.com/document/ef4abee81d2fbba9318947a18e7f9386.html.
- Chen, C., Hsu, J.R., Cheng, M., 2007. An investigation on internal solitary waves in a two-layer fluid: propagation and refection from steep slopes. Ocean Eng. 34, 171-184. https://www.sciencedirect.com/science/article/pii/S002980180600076X. https://doi.org/10.1016/j.oceaneng.2005.11.020
- Choi, W., Camassa, R., 1999. Fully nonlinear internal waves in a two-fluid system. J. Fluid Mech. 396, 1-36. https://www.sciencedirect.com/science/article/pii/S030193229780359X. https://doi.org/10.1017/s0022112099005820
- Djordjevic, V.D., Redekopp, L.G., 1978. The fission and disintegration of internal solitary waves moving over two-dimensional topography. J. Phys. Oceanogr. 8 (6), 1016-1024. https://watermark.silverchair.com/1520-0485(1978)008_1016_tfadoi_2_0_co_2.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAAAvEwggLtBgkqhkiG9w0BBwagggLeMIIC2gIBADCCAtMGCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQMrlyhmlSm6quxWlPLAgEQgIICpIpxUeZKA7PgSRA1. https://doi.org/10.1175/1520-0485(1978)008<1016:TFADOI>2.0.CO;2
- Ebbesmeyer, C.C., Coomes, C.A., Hamilton, R.C., 1991. New observations on internal waves (solitons) in the South China Sea using an acoustic Doppler current profiler. Mar. Technol. Soc. J. 91, 165-175. https://www.onepetro.org/download/conference-paper/OTC-10793-MS?id=conference-paper%2FOTC-10793-MS.
- Faltinsen, O., 1993. Sea Loads on Ships and Offshore Structures. Cambridge University Press. http://gen.lib.rus.ec/book/index.php?md5=1C8C62FBB867D15BA95E4B52FB10DD6B.
- Goryachkin, Yu N., Ivanov, V.A., Pelinovsky, E.N., 1992. Transformation of internal tidal waves over the Guinean Shelf. Sov. J. Phys. Oceanogr. 3, 309-315. https://link.springer.com/article/10.1007/BF02197307.
- Helfrich, K.R., Melville, W.K., 2006. Long nonlinear internal waves. Annu. Rev. Fluid Mech. 38, 395-425. https://www.researchgate.net/publication/33547696_Long_nonlinear_internal_waves_Ann_Rev_Fluid_Mech?ev=auth_pub. https://doi.org/10.1146/annurev.fluid.38.050304.092129
- Huang, W.H., You, Y.X., Shi, Q., 2013. The experiments of internal solitary wave load and their theoretical model for a semi-submersible platform. Chin. J. Hydrodynamic. 28 (6), 644-657. http://en.cnki.com.cn/Article_en/CJFDTotal-SDLJ201306002.htm.
- Hutter, K., 2012. Nonlinear Internal Waves in Lakes. Springer, Berlin. https://www.researchgate.net/publication/321609998_Nonlinear_Internal_Waves_in_Lakes.
- Kakutani, T., Yamasaki, N., 1978. Solitary waves on a two-layer fluid. J. Phys. Soc. Jpn. 45 (2), 674-679. https://journals.jps.jp/doi/abs/10.1143/JPSJ.45.674.
- Kao, T.W., Pan, F.S., Renouard, D., 1985. Internal solitons on the pycnocline: generation, propagation, shoaling and breaking over a slope. J. Fluid Mech. 159, 19-53. https://www.cambridge.org/core/services/aop-cambridge-core/content/view/986FC16C6795E0A3DEFBEDCAAACA51E3/S0022112085003081a.pdf/internal_solitons_on_the_pycnocline_generation_propagation_and_shoaling_and_breaking_over_a_slope.pdf. https://doi.org/10.1017/S0022112085003081
- Koop, C.G., Butler, G., 1981. An investigation on solitary internal waves in a two-fluid system. J. Fluid Mech. 112, 225-251. https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AC886941E613996138907626D7CFC16C/S0022112081000372a.pdf/an_investigation_of_internal_solitary_waves_in_a_twofluid_system.pdf. https://doi.org/10.1017/S0022112081000372
- Lamb, K.G., 1994. Numerical experiments of internal wave generation by strong tidal flow across a finite amplitude bank edge. J. Geophys. Res. 99, 843-864. http://mseas.mit.edu/download/evheubel/LambJGRO1994.pdf. https://doi.org/10.1029/93JC02514
- Leichter, J.J., Deane, G.B., Stokes, M.D., 2005. Spatial and temporal variability of internal wave forcing on a Coral Reef. J. Phys. Oceanogr. 35 (11), 1945-1959. https://www.proquest.com/docview/223940224?OpenUrlRefId=info:xri/sid:baidu&accountid=13818. https://doi.org/10.1175/JPO2808.1
- Michallet, H., Barthelemy, E., 1997. Ultrasonic probes and data processing to study interfacial solitary waves. Exp. Fluid 22 (5), 380-386. https://link.springer.com/article/10.1007/s003480050064.
- Miyata, M., 1985. An internal solitary wave of large amplitude. La Mer 23, 43-48. https://www.mendeley.com/catalogue/c330be44-305e-3ef3-a530-f6e39d7d6807/.
- Morison, J.R., Obrien, M.P., Johnson, J.W., Schaaf, S.A., 1950. The force exerted by surface waves on piles. J. Petrol. Technol. 2 (5), 149-154. https://www.onepetro.org/journal-paper/SPE-950149-G. https://doi.org/10.2118/950149-G
- Osborne, A.R., Burch, T.L., 1980. Internal solitons in the Andaman sea. Science 208 (4443), 451-460. https://science.sciencemag.org/content/208/4443/451. https://doi.org/10.1126/science.208.4443.451
- Wang, X., Lin, Z.Y., You, Y.X., 2015. Numerical simulation for the load characteristics of internal solitary waves on the semi-submersible platform. J. Ship Mech. 19 (10), 1173-1184. http://en.cnki.com.cn/Article_en/CJFDTOTALCBLX201510002.htm. https://doi.org/10.3969/j.issn.1007-7294.2015.10.002
- Wang, S.D., Wei, G., Du, H., Wu, J.L., Wang, X.L., 2020. Experimental investigation of the wave-flow structure of an oblique internal solitary wave and its force exerted on a slender body. Ocean Eng. 201. https://www.sciencedirect.com/science/article/pii/S002980182030130X.
- Wessels, F., Hutter, K., 1996. Interaction of internal waves with a topographic sill in a two-layered fluid. J. Phys. Oceanogr. 26 (1), 5-20. https://watermark.silverchair.com/1520-0485(1996)026_0005_ioiwwa_2_0_co_2.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAAAt0wggLZBgkqhkiG9w0BBwagggLKMIICxgIBADCCAr8GCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQMQxvclnFf56qkW5xYAgEQgIICkM4a6sOz0vCGLUx6. https://doi.org/10.1175/1520-0485(1996)026<0005:IOIWWA>2.0.CO;2
- Xie, J., Jian, Y., Yang, L., 2010. Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids. Appl. Math. Model. 34 (8), 2089-2101. https://www.sciencedirect.com/science/article/pii/S0307904X09003539. https://doi.org/10.1016/j.apm.2009.10.021
- Xie, J., Xu, J., Cai, S., 2011. A numerical study of the load on cylindrical piles exerted by internal solitary waves. J. Fluid Struct. 27 (8), 1252-1261. https://www.sciencedirect.com/science/article/pii/S0889974611000697. https://doi.org/10.1016/j.jfluidstructs.2011.04.007
- You, Y.X., Li, W., He, J.Y., 2010. Hydrodynamic characteristic of tension leg platforms in ocean internal solitary waves. J. Shanghai Jiao Tong Univ. (Sci.) 44 (1), 12-17. http://en.cnki.com.cn/Article_en/CJFDTOTAL-SHJT201001013.htm.
- You, Y.X., Li, W., Hu, T.Q., 2012. Dynamic responses of a semi-submersible platform in internal solitary waves. Ocean Eng. 30 (2), 1-7. http://en.cnki.com.cn/Article_en/CJFDTOTAL-HYGC201202002.htm. https://doi.org/10.3969/j.issn.1005-9865.2012.02.001
- Zhang, W.G., Duda, T.F., Udovydchenkov, A.A., 2014. Modeling and analysis of internaltide generation and beamlike onshore propagation in the vicinity of shelf break Canyons. J. Phys. Oceanogr. 44, 834-849. https://www.proquest.com/docview/1509068715?OpenUrlRefId=info:xri/sid:baidu&accountid=13818. https://doi.org/10.1175/JPO-D-13-0179.1