Articles | Volume 25, issue 3
Research article
05 Sep 2018
Research article |  | 05 Sep 2018

Internal waves in marginally stable abyssal stratified flows

Nikolay Makarenko, Janna Maltseva, Eugene Morozov, Roman Tarakanov, and Kseniya Ivanova

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Cited articles

Almgren, A., Camassa, R., and Tiron, R.: Shear instability of internal solitary waves in Euler fluids with thin pycnoclines, J. Fluid Mech., 710, 324–361, 2012.
Baines, P. G.: Topographic effects in stratified flows, Cambridge University Press, Cambridge, UK, 1995.
Barros, R. and Choi, W.: On regularizing the strongly nonlinear model for two-dimensional internal waves, Physica D, 264, 27–34, 2013.
Benney, D. J. and Ko, D. R. S.: The propagation of long large amplitude internal waves, Stud. Appl. Math., 59, 187–199, 1978.
Camassa, R. and Tiron, R.: Optimal two-layer approximation for continuous density stratification, J. Fluid Mech., 669, 32–54, 2011.
Short summary
The problem on internal waves in a weakly stratified two-layered fluid is studied semi-analytically. We discuss the 2.5-layer fluid flows with exponential stratification of both layers. The long-wave model describing travelling waves is constructed by means of a scaling procedure with a small Boussinesq parameter. It is demonstrated that solitary-wave regimes can be affected by the Kelvin–Helmholtz instability arising due to interfacial velocity shear in upstream flow.