Preprints
https://doi.org/10.5194/npg-2021-16
https://doi.org/10.5194/npg-2021-16

  15 Apr 2021

15 Apr 2021

Review status: a revised version of this preprint is currently under review for the journal NPG.

The effect of strong shear on internal solitary-like waves

Marek Stastna1, Aaron Coutino1, and Ryan Walter2 Marek Stastna et al.
  • 1Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada, N2L 3G1
  • 2Physics Department, California Polytechnic State University, San Luis Obispo, CA, USA

Abstract. Large amplitude internal waves in the ocean propagate in a dynamic, highly variable environment with changes in background current, local depth, and stratification. The Dubreil-Jacotin-Long, or DJL, theory of exact internal solitary waves can account for a background shear, doing so at a cost of algebraic complexity and a lack of a mathematical proof of algorithm convergence. Waves in the presence of shear that is strong enough to preclude theoretical calculations have been reported in observations. We report on high resolution simulations of stratified adjustment in the presence of strong shear currents. We find instances of large amplitude solitary-like waves with recirculating cores in parameter regimes for which DJL theory fails, and of wave types that are completely different in shape from classical internal solitary waves. Both are spontaneously generated from general initial conditions. Some of the waves observed are associated with critical layers, but others exhibit a propagation speed that is very near the background current maximum. As such they are not freely propagating solitary waves, and a DJL theory would not apply. We thus provide a partial reconciliation between observations and theory.

Marek Stastna 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-2021-16', Anonymous Referee #1, 17 May 2021
    • AC1: 'Reply on RC1', Marek Stastna, 13 Jul 2021
  • RC2: 'Comment on npg-2021-16', Magda Carr, 18 May 2021
    • AC2: 'Reply on RC2', Marek Stastna, 13 Jul 2021

Marek Stastna et al.

Marek Stastna et al.

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Short summary
Large amplitude waves in the interior of the ocean internal waves in the ocean propagate in a dynamic, highly variable environment with changes in background current, local depth, and stratification. These waves have a well known mathematical theory that, despite considerable progress, has some gaps. In particular, waves have been observed in situations that preclude an application of the mathematical theory. We present numerical simulations of the spontaneous generation of such waves.