Articles | Volume 11, issue 1
Nat. Hazards Earth Syst. Sci., 11, 17–25, 2011
https://doi.org/10.5194/nhess-11-17-2011

Special issue: Extreme and rogue waves

Nat. Hazards Earth Syst. Sci., 11, 17–25, 2011
https://doi.org/10.5194/nhess-11-17-2011

Research article 04 Jan 2011

Research article | 04 Jan 2011

Large amplitude internal solitary waves over a shelf

N. Gavrilov, V. Liapidevskii, and K. Gavrilova N. Gavrilov et al.
  • Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia

Abstract. Dynamics of large amplitude internal waves in two-layers of shallow water is considered. It is demonstrated that in laboratory experiments the subsurface waves of depression over a shelf may be simulated by internal symmetric solitary waves of the mode 2 ("lump-like" waves). The mathematical model describing the propagation and decaying of large internal waves in two-layer fluid is introduced. It is a variant of Choi-Camassa equations with hydrostatic pressure distribution in one of the layers. It is shown that the numerical scheme developed for the Green-Naghdi equations in open channel flows may be applied for the description of large amplitude internal waves over a shelf.

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