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Analytical cubic solution to weakly nonlinear interactions between surface and interfacial waves

Tahvildari, N ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/OMAE2009-80120
  3. Abstract:
  4. Resonant interaction between one surface wave and two oblique interfacial waves is analyzed in a three dimensional system of a finite-depth, two-layer fluid. A third order perturbation analysis is carried out to obtain the evolution equations of the waves amplitudes. Taking the waves amplitudes as the perturbation small parameter, the evolution equations of the waves are solved simultaneously to obtain the short and long term behavior of the interfacial waves. In contrast to the second order analysis, the current analysis shows that after an initial exponential growth period, the interfacial waves stop growing and stabilize. Furthermore, the influences of surface wave frequency, density ratio and viscosity in the resonant interaction are investigated. Finally, the analytical results are compared with previous experimental observations. Copyright © 2009 by ASME
  5. Keywords:
  6. Analytical results ; Current analysis ; Density ratio ; Evolution equations ; Experimental observation ; Exponential growth ; Interfacial waves ; Long-term behavior ; Nonlinear interactions ; Resonant interaction ; Second order analysis ; Third-order perturbation ; Three dimensional systems ; Two layer fluid ; Arctic engineering ; Differential equations ; Ground state ; Surface waves ; Water waves ; Ocean currents
  7. Source: Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 31 May 2009 through 5 June 2009, Honolulu, HI ; Volume 6 , 2009 , Pages 625-630 ; 9780791843468 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1625730