Articles | Volume 25, issue 3
Nonlin. Processes Geophys., 25, 659–669, 2018
https://doi.org/10.5194/npg-25-659-2018

Special issue: Extreme internal wave events

Nonlin. Processes Geophys., 25, 659–669, 2018
https://doi.org/10.5194/npg-25-659-2018

Research article 05 Sep 2018

Research article | 05 Sep 2018

Internal waves in marginally stable abyssal stratified flows

Nikolay Makarenko1,2, Janna Maltseva1,2, Eugene Morozov3, Roman Tarakanov3, and Kseniya Ivanova4 Nikolay Makarenko et al.
  • 1Lavrentyev Institute of Hydrodynamics, 6300090, Novosibirsk, Russia
  • 2Novosibirsk State University, Department of Mechanics and Mathematics, 630090, Novosibirsk, Russia
  • 3Shirshov Institute of Oceanology, 117997, Moscow, Russia
  • 4Aix-Marseille University, Department of Mechanics, Marseille 06, France

Abstract. The problem on internal waves in a weakly stratified two-layer 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.

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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.