08 Aug 2022
08 Aug 2022
Status: this preprint is currently under review for the journal ESD.

The effect of strong nonlinearity on wave-induced vertical mixing

Maciej Paprota1, and Wojciech Sulisz1, Maciej Paprota and Wojciech Sulisz
  • 1Department of Wave Mechanics and Structural Dynamics, Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7, 80-328, Gdańsk, Poland
  • These authors contributed equally to this work.

Abstract. A semi-analytical solution to advection-diffusion equation is coupled with a pseudo-spectral approach to nonlinear wavemaker model to investigate the effect of strong nonlinearity on wave-induced mixing. The comparisons with weakly-nonlinear model predictions reveal that in the case of waves of higher steepness, enhanced mixing affects subsurface layer of the water column. Including higher-order terms into free-surface boundary conditions of the wavemaker problem secures reliable estimation of the time-mean velocity field. The corrected wave-induced mass-transport velocity leads to improved estimates of subsurface mixing intensity and ocean surface temperature.

Maciej Paprota and Wojciech Sulisz

Status: open (extended)

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  • RC1: 'Comment on esd-2022-27', Anonymous Referee #1, 18 Dec 2022 reply

Maciej Paprota and Wojciech Sulisz

Maciej Paprota and Wojciech Sulisz


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Short summary
Ocean surface temperature is strongly affected by vertical mixing processes induced by waves. The correct estimation of a thermal state of the ocean upper layer is crucial for climate modeling and weather forecasting. The accuracy of predictions of exchange of heat between oceanic waters and the atmosphere depends on a reliable input from wave models admitting mixing processes. The study discusses the importance of higher-order approximation of vertical mixing due to high and steep waves.