Nonlinear wave-wave interactions and wedge waves

Ray Q. Lin; Will Perrie

doi:10.1007/BF02894229

Your Location：

Home >

Browse articles >

Nonlinear wave-wave interactions and wedge waves

OriginalPaper | Updated：2023-05-16

- Nonlinear wave-wave interactions and wedge waves
- Nonlinear wave-wave interactions and wedge waves
- 海洋湖沼学报（英文） 2005年23卷第2期页码：129-143
- Affiliations：
  
  1. David Taylor Model Basin Carderock Division
  2. Ocean Sciences Division Maritimes Region Fisheries and Oceans Canada
- Author bio：
- Funds：
- DOI：10.1007/BF02894229
  中图分类号：
- 纸质出版：2005
- Accepted：
Scan QR Code
Nonlinear wave-wave interactions and wedge waves[J]. 海洋湖沼学报（英文）, 2005,23(2):129-143.

Lin, R.Q., Perrie, W. Nonlinear wave-wave interactions and wedge waves., Chin. J. Ocean. Limnol. 23, 129–143 (2005). https://doi.org/10.1007/BF02894229
Nonlinear wave-wave interactions and wedge waves[J]. 海洋湖沼学报（英文）, 2005,23(2):129-143. DOI： 10.1007/BF02894229.

Lin, R.Q., Perrie, W. Nonlinear wave-wave interactions and wedge waves., Chin. J. Ocean. Limnol. 23, 129–143 (2005). https://doi.org/10.1007/BF02894229 DOI：

摘要

Abstract

A tetrad mechanism for exciting long waves

for example edge waves

is described based on nonlinear resonant wave-wave interactions. In this mechanism

resonant interactions pass energy to an edge wave

from the three participating gravity waves. The estimated action flux into the edge wave can be orders of magnitude greater than the transfer fluxes derived from other competing mechanisms

such as triad interactions. Moreover

the numerical results show that the actual transfer rates into the edge wave from the three participating gravity waves are two-to three-orders of magnitude greater than bottom friction.

关键词

Keywords

references

Abreu, M., A. Larraza and E. Thornton, 1992. Nonlinear transformation of directional wave spectra in shallow water.J. Geophys. Res. 97: 15 579–15 589.

Bowen, A. J. and R. T. Guza, 1978. Edge waves and surf beat.J. Geophys. Res. 83: 1 913–1 920.

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.

Davis, R. E. and A. Acrivos, 1967. The stability of oscillatory internal waves.J. Fluid Mech. 30: 723.

Eckart, C., 1951. Surface waves in water of variable depth. Marine Physical Lab. of Scripps Inst. Ocean Wave Report. 99p.

Eldeberky, Y., 1996. Nonlinear transformation of wave spectra in the nearshore zone, Ph.D. Thesis, Delft University of Technology, Department of Civil Engineering, The Netherlands.

Elgar, S., and R. T. Guza, 1985. Observations of bispectra of shoaling surface gravity waves.J. Fluid Mech. 161: 425–448.

Elgar, S. and R. T. Guza, 1986. Nonlinear model predictions of bispectra of shoaling surface gravity waves.J. Fluid Mech. 167: 1–18.

Elgar, S., R. T. Guza, B. Raubenheimer, T. H. C. Herbers and E. L. Gallagher, 1997. Spectral evolution of shoaling and breaking waves on a barred beach.J. Geophys. Res. 102(C7): 15 797–15 805.

Foda, M. A. and C. C. Mei, 1981. Nonlinear excitation of long-trapped waves by a group of short swells.J. Fluid Mech. 111: 319–345.

Freilich, M. H. and R. T. Guza, 1984. Nonlinear effects on shoaling surface gravity waves.Phil. Trans. Roy. Soc. Lond. A. 311: 1–41.

Gallagher, B., 1971. Generation of surf beat by non-linear wave interactions.J. Fluid Mech. 49: 1–20.

Guza, R. T. and R. E. Davis, 1974. Excitation of edge waves by waves incident on a beach.J. Geophys. Res. 79(9): 1 285–1 291.

Guza, R. T., and E. B. Thornton, 1985. Observations of surf beats.J. Geophys. Res. 90: 3 161–3 172.

Hasselmann, K., 1967. A criterion for nonlinear wave stability.J. Fluid Mech. 30: 737–739.

Herbers, T. H. A., S. Elgar and R. T. Guza, 1995a. Generation and propagation of surf beat.J. Geophys. Res. 100(C12): 24 863–24 872.

Herbers, T. H. C., S. Elgar, R. T. Guza and W. C. O’Reilly, 1995b. Infragravity-frequency (0.005–0.05 Hz) motions on the shelf. Part II: Free waves.J. Phys. Oceanogr. 25(6): 1 063–1 079.

Holman, R. A., 1981. Infragravity energy in the surf zone.J. Geophys. Res. 86(C7): 6 442–6 450.

Howd, P. A., A. J. Bowen, and R. A. Holman, 1992. Edge waves in the presence of strong longshore currents.J. Geophys. Res. 97: 11 357–11 371.

Howd, P. A., J. M. Oltman-Shay and R. A. Holman, 1991. Wave variance partitioning in the trough of a barred beach.J. Geophys. Res. 96: 12 781–12 795.

Huntley, D. A., 1976. Long period waves on a natural beach,J. Geophys. Res. 8: 6 441–6 449.

Huntley, D. A. and A. J. Bowen, 1973. Field Observations of Edge Waves,Nature 243: 160–162.

Huntley, D. A., R. T. Guza and E. B. Thornton, 1981. Field observations of surf beats. 1. Progressive edge waves.J. Geophys. Res. 86(C7): 6 451–6 466.

Komen, G. J., L. Cavaleri, M. Donelan, K. Hasselmann and P. A. E. M. Janssen, 1994.Dynamics and Modelling of Ocean Waves Cambridge University Press, Cambridge, 512pp.

Krasitskii, V., 1994. On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves.J. Fluid Mech. 272: 1–20.

Lamb, H., 1945. Hydrodynamics. New York Dover Publications, Sixth Edition pp. 378.

Lin, R. Q., 1990. Double Column Instabilities in the Barotropic Annulus.Geophys. Astrophys. Fluid Dynamics 54: 161–188.

Lin, R. Q., F. Busse and M. Ghil, 1988. Transition to two-dimensional turbulent convection in a rapidly-rotating annulus.Geophys. Astrophys. Fluid Dynamics 45: 137–157.

Lin, R. Q. and Perrie, W., 1997. A new coastal wave model. Part III. Nonlinear wave-wave interactions.J. Phys. Oceanogr. 27(9): 1 813–1 826.

Lippmann, T. C., R. A. Holman and A. J. Bowen, 1997. Generation of edge waves in shallow water.J. Geophys. Res. 102(C4): 8 663–8 679.

Madsen, P. A. and O. R. Brensen, 1993. Bound waves and triad interactions in shallow water.Ocean Engineering 20(4): 359–388.

Mei, C. C., 1982.The Applied Dynamics of Ocean Surface Waves. Wiley-Interscience, New York, xviii+740pp.

Miles, J., 1990. Parametrically exited standing edge waves.J. Fluid Mech. 214: 43–57.

Miles, J., 1991. Nonlinear Asymmetric excitation of edge waves.IMA Jour. Applied Math 46: 101–108.

Mollo-Christensen, E., 1979. Edge Waves in a rotating stratified fluid, an exact solution.J. Phys. Oceanogr. 9: 226–229.

Mollo-Christensen, E., 1983. Edge Waves as a cause of ice rideup onshore.J. Geophys. Res. 88: 2 967–2 970.

Mollo-Christensen, E., 1993. Edge Waves in sea ice, a hydroelastic phenomenon.In: P. Hajela and S. C. McIntosh, eds, Advances in Aerospace Sciences; A Tribute to Holt Ashley, Stanford Univ. Press. p. 367–373.

Munk, W. H., 1949. Surf beats.Transaction, American Geophy. Union 30(6): 849–854.

Munk, W., F. Snodgrass, and G. Carrier, 1956. Edge waves on the continental shelf.Science 123: 127–132.

Munk, W. H., F. Snodgrass and F. Gilbert, 1964. Long waves on the continental shelf: an experiment to separate trapped and leaky modes.J. Fluid Mech. 20(Part 4): 529–554.

Oltman-Shay, J. M. and R. T. Guza, 1987. Infragravity edge wave observations on two California beaches.J. Phys. Oceanogr. 17(5): 644–663.

Phillips, O. M., 1960. On the dynamics of unsteady gravity waves of finite amplitude.J. Fluid Mech. 9: 193–217.

Schaffer, H. A., 1993. Infragravity waves induced by short-wave groups.J. Fluid Mech. 247: 551–588.

Schaffer, H. A., 1994. Edge wave forced by short-wave groups.J. Fluid Mech. 259: 125–148.

Shemdin, O. H., K. Hasselmann, S. V. Hsiao and Herterich, 1978. Nonlinear and linear bottom interaction effects in shallow water.In: A. Favre and Hasselmann, eds., Turbulent fluxes trough the sea surface, wave dynamics and prediction, Plenum, New York. p. 347–372.

Symonds, G. and A. J. Bowen, 1984. Interactions of nearshore bars with incoming wave groups.J. Geophys Res. 89: 1 953–1 959.

Symonds, G. D., A. Huntley and A. J. Bowen, 1982. Two-dimensional surf beat: long wave generation by a time-vary breakpoint.J. Geophys. Res. 87: 492–498.

Tucker, M. J., 1950. Surf beat: sea waves of 1 to 5 min. period.Proc. Roy Soc. A 202: 565–573.

Young, I. R. and R. M. Gorman, 1995. Measurements of the evolution of ocean wave spectra due to bottom friction.J. Geophys. Res. 100(C6): 10 987–11 004.

Yuen, H. C. and B. M. Lake, 1982. Nonlinear dynamics of deep Water gravity waves.Advances in Applied Mech. 22: 67–229.

Zakharov, V. E., 1968. Stability of periodic waves of finite amplitude on the surface of deep fluid.Zhurnal Prikladnio Mekhaniki Tekhnicheskoi Fiziki 3(2): 80–94.

Zakharov, V. E., 1991. Inverse and direct cascade in the wind-driven surface wave turbulence and wave-breaking.In: Banner, M. L., R. H. Grimshaw, eds., Breaking Waves IUTAM Symposium Sydney/Australia.

Zakharov, V. E., 1998. Weakly Nonlinear waves on the surface of an ideal finite depth fluid.Amer. Math. Soc. Transl. (2)182: 167–197.

Zakharov, V. E. and E. Shulman, 1980. Degenerative dispersion law, motion invariants and kinetic equation.Physica D p. 192–202.

Zauderer, E., 1983.Partial differential Equation of Applied Mathematics. John Wiley & Sons, New York, 779pp.

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据