Acoustic mode beam effects of nonlinear internal gravity waves in shallow water

In a two-layer liquid system non-linear resonant interactions between a pair of external (surface) waves can result in transfer of energy to an internal wave when appropriate resonance conditions are satisfied. This energy transfer is likely to be more powerful than similar transfers between external waves. The shallow water case is discussed in detail.

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Model of the internal gravity waves excited by lithospheric greenhouse effect gases

Kosmìčna nauka ì tehnologìâ ◽

10.15407/knit2001.02s.026 ◽

2001 ◽

Vol 7 (2s) ◽

pp. 26-33 ◽

Cited By ~ 2

Author(s):

O.E. Gotynyan ◽

◽

V.N. Ivchenko ◽

Yu.G. Rapoport ◽

◽

...

Keyword(s):

Gravity Waves ◽

Greenhouse Effect ◽

Internal Gravity Waves

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Internal gravity waves generated by an impulsive plume

Physical Review Fluids ◽

10.1103/physrevfluids.4.014803 ◽

2019 ◽

Vol 4 (1) ◽

Cited By ~ 1

Author(s):

Alan Brandt ◽

Kara R. Shipley

Keyword(s):

Gravity Waves ◽

Internal Gravity Waves

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Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2020-0029 ◽

2020 ◽

Vol 35 (6) ◽

pp. 355-366

Author(s):

Vladimir V. Shashkin ◽

Gordey S. Goyman

Keyword(s):

Shallow Water ◽

Gravity Waves ◽

Shallow Water Equations ◽

Time Integration ◽

Standard Test ◽

Integration Scheme ◽

Test Problems ◽

Cubed Sphere ◽

Lagrangian Scheme ◽

Inertia Gravity Waves

AbstractThis paper proposes the combination of matrix exponential method with the semi-Lagrangian approach for the time integration of shallow water equations on the sphere. The second order accuracy of the developed scheme is shown. Exponential semi-Lagrangian scheme in the combination with spatial approximation on the cubed-sphere grid is verified using the standard test problems for shallow water models. The developed scheme is as good as the conventional semi-implicit semi-Lagrangian scheme in accuracy of slowly varying flow component reproduction and significantly better in the reproduction of the fast inertia-gravity waves. The accuracy of inertia-gravity waves reproduction is close to that of the explicit time-integration scheme. The computational efficiency of the proposed exponential semi-Lagrangian scheme is somewhat lower than the efficiency of semi-implicit semi-Lagrangian scheme, but significantly higher than the efficiency of explicit, semi-implicit, and exponential Eulerian schemes.

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Shear-induced breaking of internal gravity waves

Journal of Fluid Mechanics ◽

10.1017/jfm.2021.506 ◽

2021 ◽

Vol 921 ◽

Author(s):

Christopher J. Howland ◽

John R. Taylor ◽

C.P. Caulfield

Keyword(s):

Gravity Waves ◽

Internal Gravity Waves

Abstract

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Rolls of the internal gravity waves in the Earth's atmosphere

Annales Geophysicae ◽

10.5194/angeo-32-181-2014 ◽

2014 ◽

Vol 32 (2) ◽

pp. 181-186 ◽

Cited By ~ 7

Author(s):

O. Onishchenko ◽

O. Pokhotelov ◽

W. Horton ◽

A. Smolyakov ◽

T. Kaladze ◽

...

Keyword(s):

Nonlinear Dynamics ◽

Gravity Waves ◽

Closed System ◽

Wind Shear ◽

Internal Gravity Waves ◽

Temperature Gradients ◽

System Of Equations ◽

Vertical Temperature ◽

Earth’S Atmosphere ◽

Earth's Atmosphere

Abstract. The effect of the wind shear on the roll structures of nonlinear internal gravity waves (IGWs) in the Earth's atmosphere with the finite vertical temperature gradients is investigated. A closed system of equations is derived for the nonlinear dynamics of the IGWs in the presence of temperature gradients and sheared wind. The solution in the form of rolls has been obtained. The new condition for the existence of such structures was found by taking into account the roll spatial scale, the horizontal speed and wind shear parameters. We have shown that the roll structures can exist in a dynamically unstable atmosphere.

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