Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
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Numerical Analysis of Internal Waves in Two-layer Fluids by a Two-domain Boundary Element Method

Two-domain 경계 요소법을 이용한 해양 내부파의 수치적 재현

  • Koo, Weon-Cheol (School of Naval Architecture and Ocean Engineering, University of Ulsan) ;
  • Kim, Mi-Geun (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 구원철 (울산대학교 조선해양공학부) ;
  • 김미근 (울산대학교 조선해양공학부)
  • Published : 2009.08.31
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Abstract

In this study, the internal waves in two-density layered fluids were analyzed using the Numerical Wave Tank (NWT) technique in the frequency domain. The NWT is based on a two-domain Boundary Element Method with the potential fluids using the whole-domain matrix scheme. From the mathematical solution of the two-domain boundary integral equation, two different wave modes could be classified: a surface wave mode and an internal wave mode, and each mode were shown to have a wave number determined by a respective dispersion relation. The magnitudes of the internal waves against surface waves were investigated for various fluid densities and water depths. The calculated results are compared with available theoretical data.

Keywords

References

  1. Farmer, D.M. (1978). "Obsevations of Long Nonlinear Internal Waves in a Lake", Journal of Physical Oceanography, Vol 8, pp 63-73 https://doi.org/10.1175/1520-0485(1978)008<0063:OOLNIW>2.0.CO;2
  2. Gargett, A.E. (1976). "Generation of Internal Waves in Strait of Georgia, British Columbia", Deep Sea Research, Vol 23, pp 17-32
  3. Kashiwagi, M., Ten, I. and Yasunaga, M. (2006). "Hydrodynamics of a Body Floating in a Two-layer Fluid of Finite Depth. Part 2. Diffraction Problem and Wave-induced Motions", Journal of Marine Science and Technology, Vol 11, pp 150-164 https://doi.org/10.1007/s00773-005-0212-3
  4. Kim, H.R., Ahn, S. and Kim, K. (2001). "Observations of Highly Nonlinear Internal Solitons Generated by Nearintertial Internal Waves off the East Coast of Korea", Geophys. Res. Lett, Vol 28(16), pp 3191-3194 https://doi.org/10.1029/2001GL013130
  5. Lacombe, H. and Richez, C. (1982). "The Regime of the Strait of Gibraltar", Hydrodynamics of Semi-enclosed Seas, pp 13-73, Elsevier
  6. Liu, A.K., Chang Y.S., Hsu, M.K. and Liang, N.K. (1998). "Evolution of Nonlinear Internal Waves in the East and South China Seas", Journal of Geophysical Research, Vol 103(C4), pp 7995-8008 https://doi.org/10.1029/97JC01918
  7. Osborne, A.R. and Burch, T.L. (1980). "Internal Solitons in Adaman Sea", Science, Vol 208, pp 451-460 https://doi.org/10.1126/science.208.4443.451Prev|TableofContents|Next10.1126/science.208.4443.451
  8. Ten, I. and Kashiwagi, M. (2004). "Hydrodynamics of a Body Floating in a Two-layer Fluid of Finite Depth. Part 1. Radiation Problem", Journal of Marine Science and Technology, Vol 9, pp 127-141 https://doi.org/10.1007/s00773-004-0185-7
  9. Yeung, R.W. and Nguyen, T. (1999). "Radiation and Diffraction of Waves in a Two-layer Fluid", Proc. 22$^{nd}$ Symposium of Naval Hydrodynamics, Washington, DC, pp 875-891
  10. Ziegenbein, J. (1969). "Short Internal Waves in the Strait of Gibraltar", Deep Sea Research, Vol 16, pp 479-487