RUSSIAN JOURNAL OF EARTH SCIENCES, VOL. 20, ES4002, doi:10.2205/2020ES000730, 2020

Classification of internal waves shoaling over slope-shelf topography

K. Terletska, B. H. Choi, V. Maderich, T. Talipova


The shoaling of an internal solitary waves of depression in two layer fluid with a idealized slope-shelf topography is studied to classify the regimes of shoaling. Two mechanisms were assumed to be essential during wave shoaling: (i) wave breaking resulting in mixing and (ii) changing of the polarity of the initial wave of depression over the slope into wave of elevation on the shelf. Proposed three-dimensional $\alpha\beta\gamma$ classification diagram is based on three parameters: the slope angle $\gamma$, the non-dimensional wave amplitude $\alpha$ (wave amplitude normalized on the upper layer thickness) and the blocking parameter $\beta$ that is the ratio of the height of the bottom layer on the the shelf to the incident wave amplitude. Relations between the parameters $\alpha$,$\beta$,$\gamma$ for each regime were obtained using the empirical condition for wave breaking and weakly nonlinear theory for criterion of changing polarity of the wave. Four zones were separated in $\alpha\beta\gamma$ classification diagram: (I) Without changing polarity and wave breaking; (II) Changing polarity without breaking; (III) Wave breaking without changing polarity; (IV) Wave breaking with changing polarity. The results of field, laboratory and numerical experiments were compared with proposed classification and good agreement was found.

Received 20 April 2020; accepted 25 June 2020; published 12 July 2020.

      Powered by MathJax

Citation: Terletska K., B. H. Choi, V. Maderich, T. Talipova (2020), Classification of internal waves shoaling over slope-shelf topography, Russ. J. Earth Sci., 20, ES4002, doi:10.2205/2020ES000730.

Generated from LaTeX source by ELXfinal, v.2.0 software package.