Computational analyses of fully nonlinear interaction of an internal solitary wave and a free surface wave
Source abstract
Abstract
This paper is concerned with the interaction of an internal solitary wave (ISW) at the interface of two-layer fluid and the free surface wave on top of the upper layer. It is based on the potential flow theory since internal waves are associated with large Reynolds numbers. The potential flows in the upper layer and lower layer are modeled using a multi-domain boundary element method (MDBEM). The computational model is validated with the experimental results for the profile and speed of the internal wave. The MDBEM is suitable for the simulation of ISW in both small and large density jump stratified fluid system. The wave velocity is compared with the approximate analytical theory for various ratios of the fluid densities of the two layers. In addition, the amplitude, velocity and profile of the surface wave induced by ISWs are investigated. The free surface displacement is opposite to that of the interface, and the amplitude of the surface wave increases with the amplitude and density jump. The surface wave induced by an ISW can be soliton-like wave, propagating with the constant speed of the ISW and maintaining its profile.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Ocean Waves and Remote Sensing · Coastal and Marine Dynamics · Oceanographic and Atmospheric Processes
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Naval Architecture, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology 1 , Dalian 116024, PR China
Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration 2 , Shanghai 200240, PR China
Funding
National Natural Science Foundation of China
References (44)
Show source-provided references
1. Fully nonlinear simulation of wave interaction with a cylindrical wave energy converter in a numerical wave tank10.1016/j.oceaneng.2018.01.009 ↗
2. The formation and fate of internal waves in the South China sea
3. Theory of radar imaging of internal waves10.1038/314245a0 ↗
4. Transport by breaking internal gravity waves on slopes10.1017/jfm.2015.723 ↗
5. Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders10.1016/j.apor.2006.12.001 ↗
6. Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition10.1016/j.apor.2007.05.005 ↗
7. Fully nonlinear simulation of wave interaction with fixed and floating flared structures10.1016/j.oceaneng.2008.11.003 ↗
8. Action of strong internal solitary waves on surface waves
9. Dispersive nonlinear waves in two layer flows with free surface. I. Model derivation and general properties10.1111/j.1467-9590.2007.00383.x ↗
10. Second-mode nonlinear internal waves over a sloping bottom10.1134/s1063771013010041 ↗
11. On the realm of validity of strongly nonlinear asymptotic approximations for internal waves10.1017/s0022112005007226 ↗
12. Surface wave disturbance during internal wave propagation over various types of sea bottom10.1016/j.oceaneng.2016.08.011 ↗
13. An investigation on internal solitary waves in a two-layer fluid: Propagation and reflection from steep slopes10.1016/j.oceaneng.2005.11.020 ↗
14. Experimental investigation of internal solitary wave forces on a semi-submersible10.1016/j.oceaneng.2017.06.027 ↗
15. Experimental study of forces on a multi-column floating platform in internal solitary waves10.1016/j.apor.2018.06.014 ↗
16. Fully nonlinear internal waves in a two-fluid system10.1017/s0022112099005820 ↗
17. Weakly nonlinear internal waves in a two-fluid system10.1017/s0022112096002133 ↗
18. Comparison principles for free-surface flows with gravity10.1017/s0022112091000770 ↗
19. The surface signature of internal waves10.1017/jfm.2012.364 ↗
20. The focusing of surface waves by internal waves10.1017/s0022112098003917 ↗
21. Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation10.1051/m2an/2011037 ↗
22. An integral equation approach to internal (2-layer) solitary waves10.1063/1.869006 ↗
23. Three-step multi-domain BEM solver for non- homogeneous material problems10.1016/j.enganabound.2007.06.002 ↗
24. A time-domain boundary element method for wave diffraction in a two-layer fluid
25. Internal solitary wave breaking and run-up on a uniform slope10.1017/s0022112092002660 ↗
26. Long nonlinear internal waves10.1146/annurev.fluid.38.050304.092129 ↗
27. A precorrected-FFT higher-order boundary element method for wave–body problems10.1016/j.enganabound.2011.08.002 ↗
28. A fully nonlinear HOBEM with the domain decomposition method for simulation of wave propagation and diffraction10.1007/s13344-018-0066-1 ↗
29. Solitary waves on a 2-layer fluid10.1143/jpsj.45.674 ↗
30. Internal solitary waves in a two-fluid system with a free surface10.1017/jfm.2016.510 ↗
31. Free surface simulation of a two-layer fluid by boundary element method10.3744/jnaoe.2010.2.3.127 ↗
32. An investigation of internal solitary waves in a two-fluid system10.1017/s0022112081000372 ↗
33. Applications of boundary integral-equation methods for 2-dimensional nonlinear water-wave problems10.1002/fld.1650150912 ↗
34. The deformation of steep surface waves on water10.1098/rspa.1976.0092 ↗
35. Internal solitary waves in the Andaman sea: New insights from SAR imagery
36. A third-order KdV solution for internal solitary waves and its application in the numerical wave tank10.1016/j.joes.2016.03.002 ↗
37. Internal solitons in the Andaman Sea10.1126/science.208.4443.451 ↗
38. A time domain boundary element method for wave added resistance of ships taking into account viscous effects10.1016/j.oceaneng.2018.05.010 ↗
39. Comparisons of internal solitary wave and surface wave actions on marine structures and their responses10.1016/j.apor.2011.01.003 ↗
40. Observation of highly nonlinear solitons over the continental shelf10.1029/98gl01772 ↗
41. Two dimensional fully nonlinear numerical wave tank based on the BEM10.1007/s11804-012-1153-y ↗
42. Adiabatic behavior of strongly nonlinear internal solitary waves in slope-shelf areas
43. Simulation of scattering on a time-varying sea surface beneath which an internal solitary wave travels10.1080/01431161.2017.1312029 ↗
44. Numerical computation of solitary waves in a two-layer fluid10.1017/jfm.2011.400 ↗