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

@article{Dysthe2003EvolutionOA, title={Evolution of a narrow-band spectrum of random surface gravity waves}, author={Kristian B. Dysthe and Karsten Trulsen and Harald E. Krogstad and Herv{\'e} Socquet-Juglard}, journal={Journal of Fluid Mechanics}, year={2003}, volume={478}, pages={1 - 10} }

Numerical simulations of the evolution of gravity wave spectra of fairly narrow bandwidth have been performed both for two and three dimensions. Simulations using the nonlinear Schrödinger (NLS) equation approximately verify the stability criteria of Alber (1978) in the two-dimensional but not in the three-dimensional case. Using a modified NLS equation (Trulsen et al. 2000) the spectra ‘relax’ towards a quasi-stationary state on a timescale (ε2ω0)−1. In this state the low-frequency face is…

## 136 Citations

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