Ocean Wave Model and Wave Drift Caused by the Asymmetry of Crest and Trough
- 1 Research Institute for ESMD method and Its Applications, College of Science, Qingdao University of Technology, Shandong, China
- 2 Research Institute for ESMD method and Its Applications, College of Science, Qingdao University of Technology, Shandong, China
Abstract
It follows from the review on classical wave models that the asymmetry of crest and trough is the direct cause for wave drift. Based on this, a new model of Lagrangian form is constructed. Relative to the Gerstner model, its improvement is reflected in the horizontal motion which includes an explicit drift term. On the one hand, the depth-decay factor for the new drift accords well with that of the particle’s horizontal velocity. It is more rational than that of Stokes drift. On the other hand, the new formula needs no Taylor expansion as for Stokes drift and is applicable for the waves with big slopes. In addition, the new formula can also yield a more rational magnitude for the surface drift than that of Stokes.
- Weber, J.E. (2011) Do We Observe Gerstner Waves in Wave Tank Experiments? Wave Motion, 48, 301-309. https://doi.org/10.1016/j.wavemoti.2010.11.005
- Craik, A.D.D. (2004) The Origin of Water Wave Theory. Annual Review of Fluid Mechanics, 36, 1-28. https://doi.org/10.1146/annurev.fluid.36.050802.122118
- Banner, M.L. (1993) Wave Breaking in Deep Water. Annual Review of Fluid Mechanics, 25, 379-397. https://doi.org/10.1146/annurev.fl.25.010193.002105
- Phillips O.M. (1957) On the Generation of Waves by Turbulent Wind. Journal of Fluid Mechanics, 2, 417-445. https://doi.org/10.1017/S0022112057000233
- Miles J.W. (1957) On the generation of surface waves by shear flows. Journal of Fluid Mechanics, 3, 185-204. https://doi.org/10.1017/S0022112057000567
- Janssen P. (2009) The Interaction of Ocean Waves and Wind. Cambridge University Press, UK.
- Phillips, O.M. (1977) The Dynamics of the Upper Ocean (Second Edition). Syndics of the Cambridge University Press, England.
- Wen S.C. and Yu Z.W. (1984) Theory of Oceanic Waves and Principles for the Calculations, Science Press, Beijing, China. (in Chinese)
- Cavaleri, L., Alves, J.-H.G.M., Ardhuin, F., et al. (2007) Wave Modelling—The State of the Art. Progress in Oceanography, 75, 603-674. https://doi.org/10.1016/j.pocean.2007.05.005
- Mitsuyasu, H. (2002) A Historical Note on the Study of Ocean Surface Waves. Journal of Oceanography, 58, 109-120. https://doi.org/10.1023/A:1015880802272
- Mesquita, O.N., Kane, S. and Gollub, J.P. (1992) Transport by Capillary Waves: Fluctuating Stokes Drift. Physical Review A, 45, 3070-3075. https://doi.org/10.1103/PhysRevA.45.3700
- Feng, Z.C. and Wiggins, S. (1995) Fluid Particle Dynamics and Stokes Drift in Gravity and Capillary Waves Generated by the Faraday Instability. Nonlinear Dynamics, 8, 141-160.
- Jansons Kalvis, M. and Lythe, G.D. (1998) Stochastic Stokes Drift. Physical Review A, 81, 3136-3139. https://doi.org/10.1103/physrevlett.81.3136
- Webb, A. and Fox-Kemper, B. (2011) Wave Spectral Moments and Stokes Drift Estimation. Ocean Modelling, 40, 273-288.
- Liu, G.Q., Perrie, W.A. and He, Y.J. (2014) Ocean Surface Stokes Drift from Scatterometer Observations. International Journal of Remote Sensing, 35, 1966-1978. https://doi.org/10.1080/01431161.2014.880818