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Prediction of ocean waves based on the single-parameter growth equation of wind waves

  • Sanshiro Kawai
  • Paimpillil S. Joseph
  • Yoshiaki Toba
Article

Abstract

A method for the prediction of ocean waves was developed on the basis of the single-parameter growth equation of wind waves, proposed byToba (1978) on the basis of similarity in growing wind waves. The applicability of the method to actual problems was tested by hindcasting the wave characteristics with the method, for two cases with differing time and space scales, one in Kii Channel Approach, Japan, and the other in the North Atlantic Ocean. The results showed that the present method can predict waves within an error of 1.3 m in wave heights, which ranged from 3 to 12 m.

Keywords

Japan Atlantic Ocean Wave Height Present Method Wind Wave 
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References

  1. Barnett, T.P. andK.E. Kenyon (1975): Recent advances in the study of wind waves. Rep. Prog. Phys.,38, 667–729.Google Scholar
  2. Bretschneider, C. L. (1968): Fundamentals of ocean engineering—Part 8. Decay of wind generated waves to ocean swell by significant wave method. Ocean Industry, March, 36–39 and 51.Google Scholar
  3. Bretschneider, C.L., H.L. Crutcher, J. Darbyshire, G. Neumann, W. J. Pierson, H. Walden andB.W. Wilson (1962): Data for high wave conditions observed by the OWS “Weather Reporter” in December 1959. Deut. Hydrogr. Zeit.,15, 243–255.Google Scholar
  4. Deacon, E.L. andE.K. Webb (1962): Interchange of properties between sea and air. Ch. 3. Smallscale interaction.In, The Sea, Vol. 1, edited byM.N. Hill, Interscience, N.Y., pp. 43–87.Google Scholar
  5. Hasselmann, K., T.P.Barnett, E.Bouws, H.Carlson, D.E.Cartwright, K.Enke, J.A.Ewing, H.Gienapp, D.E.Hasselmann, P.Kruseman, A.Meerburg, P.Müller, D.J.Olbers, K.Richter, W.Sell and H.Walden (1973) : Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Deut. Hydrogr. Zeit., Suppl. A, 8, No. 12, 95 pp.Google Scholar
  6. Hasselmann, K., D.B. Ross, P. Müller andW. Sell (1976): A parametric wave prediction model. J. Phys. Oceanogr.,6, 200–228.Google Scholar
  7. Ijima, T. (1968): Numerical prediction of waves. Text for The Seminar on Advanced Hydraulics and Hydraulic Engineering, A-course, pp. 21 to 230, JSCE, Tokyo. (in Japanese)Google Scholar
  8. Ijima, T., T.Soejima and T.Matsuno (1967): On the distribution of waves in a typhoon area estimated by a numerical calculation — a case of typhoon over ocean-. Proc. 14th Conf. Coastal Engineering in Japan, pp. 29–38 (in Japanese).Google Scholar
  9. Isozaki, I. (1978): Recent progress in ocean waves prediction and some problems for its further advances. Umi to Sora,53, 47–60 (in Japanese with English abstract and figure captions).Google Scholar
  10. Isozaki, I. andT. Uji (1973): Numerical prediction of ocean wind waves. Pap. Met. Geophys.,24, 207–231.Google Scholar
  11. Kawai, S. (1979): Generation of initial wavelets by instability of a coupled shear flow and their evolution to wind waves. J. Fluid Mech.,93, 661–703.Google Scholar
  12. Kawai, S., K. Okada andY. Toba (1977): Field data support of three-seconds power law andgu * σ −4-spectral form for growing wind waves. J. Oceanogr. Soc. Japan,33, 137–150.Google Scholar
  13. Longuet-Higgins, M.S. (1952): On the statistical distribution of the heights of sea waves. J. Mar. Res.,11, 245–266.Google Scholar
  14. Miles, J. W. (1957): On the generation of surface waves by shear flows. J. Fluid Mech.,3, 185–204.Google Scholar
  15. Miles, J. W. (1962): On the generation of surface waves by shear flows, Part 4. J. Fluid Mech.,13, 433–448.Google Scholar
  16. Mitsuyasu, H., F.Tasai, T.Suhara, S.Mizuno, M.Ohkusu, T.Honda and K.Rikiishi (MS): Observation of the power spectrum of ocean waves using a cloverleaf buoy. (submitted to J. Phys. Oceanogr.)Google Scholar
  17. Okuda, K. (MS): Internal structure of wind waves. (in preparation)Google Scholar
  18. Phillips, O. M. (1957): On the generation of waves by turbulent wind. J. Fluid Mech.,2, 417–445.Google Scholar
  19. Pierson, W.J., L. Tick andL. Baer (1965): The accuracy and potential uses of computer based wave forecasts and hindcasts for the North Atlantic. Proc. Second Military Oceanogr. Symp.,1, 69–82.Google Scholar
  20. Sverdrup, H. Y. andW. Munk (1947): Wind, sea and swell. Theory of relations for forecasting. Publ. No. 601, U.S. Hydrogr. Office, Washington, D.C, 44 pp.Google Scholar
  21. Toba, Y. (1972): Local balance in the air-sea boundary processes. I. On the growth process of wind waves. J. Oceanogr. Soc. Japan,28, 109–121.Google Scholar
  22. Toba, Y. (1978): Stochastic form of the growth of wind waves in a single-parameter representation with physical interpretations. J. Phys. Oceanogr.,8, 494–507.Google Scholar
  23. Toba, Y., H. Kunishi, K. Nishi, S. Kawai, Y. Shimada andN. Shibata (1971): Study of the air-sea boundary processes at the Shirahama Oceanographic Tower Station. Disaster Prevention Res. Inst., Kyoto Univ., Annals,14B, 519–531 (in Japanese with English abstract and figure captions).Google Scholar
  24. Toba, Y., M. Tokuda, K. Okuda andS. Kawai (1975): Forced convection accompanying wind waves. J. Oceanogr. Soc. Japan,31, 192–198.Google Scholar
  25. Tokuda, M. and Y.Toba (MS): Similarity for individual waves in wind-wave field under strong coupling with the wind. (to be submitted to J. Phys. Oceanogr.)Google Scholar
  26. Uji, T. andI. Isozaki (1972): The calculation of wave propagation in the numerical prediction of ocean waves. Pap. Met. Geophys.,23, 347–359.Google Scholar
  27. Wilson, B. W. (1955): Graphical approach to the forecasting of waves in moving fetches. B.E.B. Tech. Memo., No. 73, 31 pp.Google Scholar
  28. Wilson, B. W. (1961): Deep water wave generation by moving wind system. Proc. ASCE,87, No. WW2, pp. 113–141.Google Scholar
  29. Wilson, B. W. (1965): Numerical prediction of ocean waves in the North Atlantic for December 1959. Deut. Hydrogr. Zeit.,18, 114–130.Google Scholar
  30. Wu, J. (1969): Wind stress and surface roughness at air-sea interface. J. Geophys. Res.,74, 444–454.Google Scholar

Copyright information

© Oceanographical Society of Japan 1979

Authors and Affiliations

  • Sanshiro Kawai
    • 1
  • Paimpillil S. Joseph
    • 1
  • Yoshiaki Toba
    • 1
  1. 1.Geophysical Institute, Faculty of ScienceTohoku UniversitySendaiJapan

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