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Liu, Zihua; Grimshaw, Roger; Johnson, Edward

Generation of mode 2 internal waves by the interaction of mode 1 waves with topography. (English) Zbl 1430.76099

J. Fluid Mech. 880, 799-830 (2019).
Summary: Oceanic internal waves can be decomposed into an infinite set of modes, and the dominant internal mode 1 waves have been extensively investigated. Although mode 2 waves have been observed, they have not received comparable attention, especially the generation mechanisms. In this work, we examine the generation of mode 2 internal waves by the interaction of mode 1 waves with topography. We use a coupled linear long-wave theory with mode coupling through topography, combined with evolution using a Korteweg-de Vries model, to predict the mode 2 wave amplitude, in an ideal three-layer fluid model, in a smooth density stratification and in two realistic oceanic settings. We find that the mode 2 wave amplitude is usually much smaller than the incident mode 1 wave amplitude and is quite sensitive to the pycnocline thickness, topographic slope and background stratification.

Cited in 3 Documents

MSC:

76B55 Internal waves for incompressible inviscid fluids
76B25 Solitary waves for incompressible inviscid fluids

Keywords:

internal waves; solitary waves; topographic effects
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References:

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