Evolution of a narrow-band spectrum of random surface gravity waves

By K. Dysthe, Karsten Trulsen, Harald E. Krogstad, Hervé Socquet-Juglard. Journal of Fluid Mechanics, 2003

163 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/ac2c7acc733a3bd27fef6d415a1b0a186471cace

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In Earth-Surface Processes

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Citations in the corpus

Physical Mechanisms of the Rogue Wave Phenomenon (2003, background): “But recently, Onorato et al. (2003), studying the nonlinear interactions of waves with a doubled-peaked power spectrum in shallow water, derived the coupled nonlinear Schrödinger equations and showed that uniform wave train can be unstable to small perturbations.”
One-dimensional wave turbulence (2004, methodology): “They achieved some success [68,47,33,93] but found that the whole business is tricky, and the computations easily become unstable.”
The Interaction of Ocean Waves and Wind (2004, background): “(1980), Kahma (1981), Forristall (1981) and Donelan et al.”
On the Estimation of the Kurtosis in Directional Sea States for Freak Wave Forecasting (2011, unknown): “…and is related at the leading order to the free surface as follows: h(x, y, t) 5 RefA(x, y, t) exp[i(k0x 2 v0t)]g. (33) The NLS2D is valid on the Benjamin–Feir time scale, t O( 22v210 ), whereas the higher-order NLS2D is valid on a longer time scale than the original NLS2D (Dysthe et al. 2003).”
Statistical properties of mechanically generated surface gravity waves: a laboratory experiment in a three-dimensional wave basin (2009, methodology): “The finding is consistent with numerical simulations in Dysthe et al. (2003), where a change of the spectrum is already observed on the scale of the Benjamin–Feir instability (see also Onorato et al. 2002b).”
Extreme waves, modulational instability and second order theory: wave flume experiments on irregular waves (2006, unknown): “It should be stated that in 2 + 1 dimensions, standard four wave resonant interactions tend to broaden irreversibly the spectrum and generate a tail of the form of ω−4 [39,46].”
Evolution of weakly nonlinear random directional waves: laboratory experiments and numerical simulations (2010, background): “Thus, as a result, this directional redistribution leads to the broadening of the directional spectrum towards high wavenumbers (see Dysthe et al. 2003; Toffoli et al. 2010).”
An efficient model for three-dimensional surface wave simulations (2005, methodology): “[13] using extended NLS equations in two horizontal dimensions.”
Modeling waves and wind stress (2012, background): “Nonlinear wave evolution: The frequency downshift of wave energy also occurs in nonlinear (but not breaking) waves [Huang et al., 1996; Trulsen and Dysthe, 1997; Dysthe et al., 2003] and is distinct from the downshifts associated with resonant wave-wave interactions or wave breaking.”
Probability distributions of surface gravity waves during spectral changes (2005, background): “The results are similar to those reported in Dysthe et al. (2003), and show that in the present case also a spectral evolution takes place on the BF timescale.”