Energy cascades in the upper ocean

Ray Q. Lin; Scott Chubb

doi:10.1007/BF02842621

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Energy cascades in the upper ocean

OriginalPaper | Updated：2023-05-16

- Energy cascades in the upper ocean
- Energy cascades in the upper ocean
- 海洋湖沼学报（英文） 2006年24卷第3期页码：225-235
- Affiliations：
  
  1. David Taylor Research Center Carderock Division Hydromechanics Directorate
  2. Remote Sensing Division Naval Research Laboratory
- Author bio：
- Funds：
  
  Supported by grants from the Office of Naval Research under the ILIR program though David Taylor Model Basin, Carderock Division, NSWCCD, and NRL Coastal Ocean Physics Remote Sensing Advanced Research Initiative.
- DOI：10.1007/BF02842621
  中图分类号：
- 纸质出版：2006
- Accepted：
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Energy cascades in the upper ocean[J]. 海洋湖沼学报（英文）, 2006,24(3):225-235.

Lin, R.Q., Chubb, S. Energy cascades in the upper ocean., Chin. J. Ocean. Limnol. 24, 225–235 (2006). https://doi.org/10.1007/BF02842621
Energy cascades in the upper ocean[J]. 海洋湖沼学报（英文）, 2006,24(3):225-235. DOI： 10.1007/BF02842621.

Lin, R.Q., Chubb, S. Energy cascades in the upper ocean., Chin. J. Ocean. Limnol. 24, 225–235 (2006). https://doi.org/10.1007/BF02842621 DOI：

摘要

Abstract

Wave-wave interactions cause energy cascades. These are the most important processes in the upper ocean because they govern wave-growth and dissipation. Through indirect cascades

wave energy is transferred from higher frequencies to lower frequencies

leading to wave growth. In direct cascades

energy is transferred from lower frequencies to the higher frequencies

which causes waves to break

and dissipation of wave energy. However

the evolution and origin of energy cascade processes are still not fully understood. In particular

for example

results from a recent theory (Kalmykov

1998) suggest that the class I wave-wave interactions (defined by situations involving 4-

etc

even numbers of resonantly interacting waves) cause indirect cascades

and Class II wave-wave interactions (involving

etc

odd numbers of waves) cause direct cascades. In contrast to this theory

our model results indicate the 4-wave interactions can cause significant transfer of wave energy through both direct and indirect cascades. In most situations

4-wave interactions provide the major source of energy transfer for both direct cascades and indirect cascades

except when the wave steepness is larger than 0.28. Our model results agree well with wave measurements

obtained using field buoy data (for example

Lin and Lin

2002). In particular

in these observations

asymmetrical wave-wave interactions were studied. They found that direct and indirect cascades both are mainly due to the 4-wave interactions when wave steepness is less than 0.3.

关键词

Keywords

references

Crawford, D. R., B. M. Lake, P. G. Saffman and H. C. Yuen, 1981. Stability of weakly nonlinear deep-water waves in two and three dimensions,J. Fluid Mech. 105: 177–191.

Hasselmann, S. and K. Hasslemann, 1981. A symmetrical method of computing the nonlinear transfer in a gravity-wave spectrum.Hamb. Geophys. Einzelschriften Reihe A: Wiss. Abhand. 52, 138pp.

Jensen R. E., D. Resio, R. Q. Lin, G. Vledder, T. Herbers and B. Tracy, 1998. A Report of SNL Source function computational workshop in Viskburg. Mississippi, USA.

Kalmykov, V. A., 1998. Energy transfer in the spectrum of surface gravity waves by resonance five wave-wave interactions.Amer. Math. Soc. Transl. 182: 83–94.

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Lin, R. Q. and M. Y. Su, 2000. Generating deep water three-dimensional waves by coupling four-wave and five-wave interactions.J. of Geophy. Res. 105(C8): 19739–19744.

Lin, R. Q. and L. Lin, 2002. Asymmetry horse-shoe patterns in observed spectrum. International Workshop on Wave Hindcasting and Prediction, Cannada, Banff. p. 339–351.

Longuet-Higgins, M. S., 1978. The instabilities of gravity waves of finite amplitude in deep water.Proc Roy.Sov. London, Series A 360(1703): 489–505.

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Su, M. Y., 1982a. Three dimensional deep-water waves, part I, Experimental measurement of skew and symmetric wave patterns.J. Fluid Mech. 124: 73–108.

Su, M. Y., 1982b. Evolution of groups of gravity waves with moderate to high steepness,Phys. Fluids 25: 2167–2174.

Whitham, G. B., 1974. Linear and Nonlinear Waves. Wiley-Interscience, Chichester, Sussex, UK: pp. 553–563.

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