Preprints
https://doi.org/10.5194/npg-2021-30
https://doi.org/10.5194/npg-2021-30

  13 Sep 2021

13 Sep 2021

Review status: this preprint is currently under review for the journal NPG.

Estimate of energy loss from internal solitary waves breaking on slopes

Kateryna Terletska1, Vladimir Maderich1, and Tatiana Talipova2 Kateryna Terletska et al.
  • 1Institute of Mathematical Machine and System Problems, Glushkov av., 42, Kyiv 03187, Ukraine
  • 2Institute of Applied Physics RAS, Nizhny Novgorod,Russian Federation

Abstract. Internal solitary waves (ISW) emerge in the ocean and seas in different forms and break on the shelf zones in a variety of ways. Their breaking on slopes can produce intensive mixing that produces such process as biological productivity and sediment transport. Mechanisms of ISW of depression interaction with the slopes related to breaking and changing polarity as they shoal. We assume that parameters that described the process of interaction of ISW in a two-layer fluid with the idealised shelf-slope are: the non-dimensional wave amplitude α (wave amplitude normalized on the upper layer thickness), the ratio of the height of the bottom layer on the shelf to the incident wave amplitude β and angle γ. Based on three-dimensional αβγ classification diagram with four types of interaction with the slopes it was discussed: (1) ISW propagates over slope without changing polarity and wave breaking; (2) ISW changes polarity over slope without breaking; (3) ISW breaks over slope without changing polarity; (4) ISW both breaks and change polarity over the slope. Relations between the parameters α,β,γ for each regime were obtained using the empirical condition for wave breaking and weakly nonlinear theory for the criterion of changing the polarity of the wave. In the present paper the α,β,γ diagram was validated for idealised real scale topography configurations. Results of the numerical experiments that were carried out in the present paper and results of field and laboratory experiments from other papers are in good agreement with proposed classification and estimations. Based on 85 numerical experiments ISWs energy loss during interaction with slope topography with 0.5° < γ < 90° was estimated. Hot spots zones of high levels of energy loss were shown for idealized configuration that mimics continental shelf at Lufeng Region SCS.

Kateryna Terletska et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on npg-2021-30', Anonymous Referee #1, 10 Oct 2021
  • RC2: 'Comment on npg-2021-30', Anonymous Referee #2, 15 Oct 2021

Kateryna Terletska et al.

Kateryna Terletska et al.

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Short summary
Internal solitary waves emerge in the ocean and seas in different forms and break on the shelf zones in a variety of ways. Mechanisms of wave interaction with the slopes related to breaking and changing polarity. Our study focuses on wave transformation over idealised shelf-slope topography with a two-layer stratification. It is shown four types of interaction with the slopes. Results of our numerical experiments and results of field and laboratory experiments.