A 2D fully-nonlinear numerical wave flume is created with a piston-type wave generator based on a recently developed 2D harmonic polynomial cell method (HPC), which has been demonstrated as a highly accurate and efficient approach for modelling of water waves and their interaction with marine structures within the context of potential flow. The overlapping grid technique and a Goring’s wave making method are applied to generate solitary waves. The main focus of this paper is on the head-on collisions of pairwise solitary waves with identical or different amplitudes, including the maximum run-up and spatial phase shift during the whole colliding process. As for collision between identical solitary waves with amplitude
“青年千人计划”科研启动经费
国家自然科学基金(51479114,11742021,51761135012)
海洋可再生能源专项资金(GHME2014ZC01)
[1] Russell J S. Report on Waves. In: Proceedings of the Fourteenth Meeting of the British Association for the Advancement of Science. 1844.. Google Scholar
[2] Byatt-Smith J G B. An integral equation for unsteady surface waves and a comment on the Boussinesq equation. J Fluid Mech, 1971, 49: 625-633 CrossRef Google Scholar
[3] Maxworthy T. Experiments on collisions between solitary waves. J Fluid Mech, 1976, 76: 177-186 CrossRef ADS Google Scholar
[4] Su C H, Mirie R M. On head-on collisions between two solitary waves. J Fluid Mech, 1980, 98: 509-525 CrossRef ADS Google Scholar
[5] Mirie R M, Su C H. Collisions between two solitary waves. Part 2. A numerical study. J Fluid Mech, 1982, 115: 475-492 CrossRef ADS Google Scholar
[6] Fenton J D, Rienecker M M. A Fourier method for solving nonlinear water-wave problems: Application to solitary-wave interactions. J Fluid Mech, 1982, 118: 411-443 CrossRef ADS Google Scholar
[7] Chen Y, Yeh H. Laboratory experiments on counter-propagating collisions of solitary waves. Part 1. Wave interactions. J Fluid Mech, 2014, 749: 577-596 CrossRef Google Scholar
[8] Craig W, Guyenne P, Hammack J, et al. Solitary water wave interactions. Phys Fluids, 2006, 18: 057106 CrossRef Google Scholar
[9] Shao Y L, Faltinsen O M. Towards efficient fully-nonlinear potential-flow solvers in marine hydrodynamics. In: Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering. Brazil: ASME, 2012. Google Scholar
[10] Shao Y L, Faltinsen O M. A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics. J Comput Phys, 2014, 274: 312-332 CrossRef ADS Google Scholar
[11] Hanssen F C W, Greco M, Shao Y. The harmonic polynomial cell method for moving bodies immersed in a Cartesian background grid. In: Proceedings of 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers. Newfundland: ASME, 2015. Google Scholar
[12] Hanssen F C W, Bardazzi A, Lugni C, et al. Free-surface tracking in 2D with the harmonic polynomial cell method: Two alternative strategies. Int J Numer Methods Eng, 2018, 113: 311-351 CrossRef ADS Google Scholar
[13] Greco M. A two-dimensional study of green-water loading. Dissertation for the Doctoral Degree. Trondheim: Norges Teknisk-Naturvitenskapelige Universitet, 2001. Google Scholar
[14] Goring D G. Tsunamis: The propagation of long waves onto a shelf. Dissertation for the Doctoral Degree. Pasadena: California Institute of Technology, 1979. Google Scholar
[15] Fenton J. A ninth-order solution for the solitary wave. J Fluid Mech, 1972, 53: 257-271 CrossRef Google Scholar
[16] Cooker M J, Weidman P D, Bale D S. Reflection of a high-amplitude solitary wave at a vertical wall. J Fluid Mech, 1997, 342: 141-158 CrossRef ADS Google Scholar
[17] Camfield F E, Street R L. Shoaling of solitary waves on small slopes. J Waterways Harbors Div, 1969, 95: 1–22. Google Scholar
[18] Tanaka M. The stability of solitary waves. Phys Fluids, 1986, 29: 650-655 CrossRef ADS Google Scholar
Copyright 2019 Science China Press Co., Ltd. 科学大众杂志社有限责任公司 版权所有
京ICP备18024590号-1
Download PDF