Effect of Wind Wave Parameter Fluctuation on the Nonlinear Spectrum Evolution

Igor V. Lavrenov State Research Center of the Russian Federation, Arctic and Antarctic Research Institute, St. Petersburg, Russia

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Abstract

The influence of the wind wave parameter fluctuation on the nonlinear spectrum evolution is estimated by solving numerically the kinetic equation taking into account the nonlinear interaction in the wave spectrum. The nonlinear energy transfer is calculated using an original numerical integrating method of the highest accuracy that is described in the paper. The results of numerical simulation shows that wind wave parameter fluctuation produces a significant increase effect of the nonlinear wave spectrum evolution. The present study results in a parameterization, which is made possible taking into account this effect in spectral wind wave models.

Corresponding author address: Dr. Igor Lavrenov, State Scientific Center of the Russian Federation, Arctic and Antarctic Research Institute, 38 Bering Street, St. Petersburg 199397, Russia.

Email: lavren@aari.nw.ru

Abstract

The influence of the wind wave parameter fluctuation on the nonlinear spectrum evolution is estimated by solving numerically the kinetic equation taking into account the nonlinear interaction in the wave spectrum. The nonlinear energy transfer is calculated using an original numerical integrating method of the highest accuracy that is described in the paper. The results of numerical simulation shows that wind wave parameter fluctuation produces a significant increase effect of the nonlinear wave spectrum evolution. The present study results in a parameterization, which is made possible taking into account this effect in spectral wind wave models.

Corresponding author address: Dr. Igor Lavrenov, State Scientific Center of the Russian Federation, Arctic and Antarctic Research Institute, 38 Bering Street, St. Petersburg 199397, Russia.

Email: lavren@aari.nw.ru

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