Large amplitude internal gravity waves in stably stratified fluids: Linear model

Meccanica ◽  
1973 ◽  
Vol 8 (1) ◽  
pp. 52-55
Author(s):  
B. K. Sen-Gupta
Keyword(s):  
Linear Model ◽  
Gravity Waves ◽  
Large Amplitude ◽  
Internal Gravity Waves ◽  
Stratified Fluids

Weakly-Nonlinear, Long Internal Gravity Waves in Stratified Fluids of Finite Depth

1978 ◽  
Vol 12 (4) ◽  
pp. 157-165 ◽  
Author(s):  
T. Kubota ◽  
D.R.S. Ko ◽  
L.D. Dobbs
Keyword(s):  
Gravity Waves ◽  
Finite Depth ◽  
Internal Gravity Waves ◽  
Stratified Fluids ◽  
Weakly Nonlinear

Reflexion and stability of waves in stably stratified fluids with shear flow: a numerical study

1968 ◽  
Vol 34 (3) ◽  
pp. 609-624 ◽  
Author(s):  
Walter L. Jones
Keyword(s):  
Gravity Waves ◽  
Richardson Number ◽  
Numerical Study ◽  
Internal Gravity Waves ◽  
Three Dimensions ◽  
Stratified Fluids ◽  
Reflected Wave ◽  
Horizontal Wave ◽  
Numerical Examination ◽  
Stability Of Waves

A numerical examination has been made of the reflectivity of critical levels with low Richardson number to internal gravity waves propagating in stratified fluids with shear. At sufficiently low positive Richardson numbers the reflected wave may actually be stronger than the incident.The normal mode instabilities of three simple models have also been computed. The results are presented in three dimensions: Richardson number, horizontal wave scale and real wave frequency.

Statically unstable layers produced by overturning internal gravity waves

1994 ◽  
Vol 260 ◽  
pp. 333-350 ◽  
Author(s):  
S. A. Thorpe
Keyword(s):  
Gravity Waves ◽  
Growth Rates ◽  
Large Amplitude ◽  
Subsequent Development ◽  
Internal Gravity Waves ◽  
Companion Paper ◽  
Static Stability ◽  
Secondary Instability ◽  
Tube Length ◽  
Uniform Density

Internal waves in a uniformly stratified fluid of sufficiently large amplitude develop tilted layers in which the fluid is statically unstable. To investigate the evolution and subsequent development of this structure, experiments are made in which a horizontal rectangular tube containing a fluid of uniform density gradient is gently rocked at a selected frequency about a horizontal axis normal to the tube length. Large-amplitude standing internal gravity waves of the first mode are generated, and these steepen and overturn, the isopycnal surfaces folding to produce a vertically thin and horizontally extensive layer in which the fluid is statically unstable. In experiments with relatively small forcing, the layer persists for some 6 buoyancy periods, with no detected evidence of secondary instability, and static stability is re-established as the periodic flow reverses. The layer however breaks down, with consequent diapycnal mixing, when greater forcing is applied.The scale and growth rates of instability in the overturning internal gravity waves are estimated using the theory developed in a companion paper by Thorpe (1994a). For the parameters of the laboratory experiments with relatively small forcing, the growth rates are small, consistent with the absence of signs of secondary instability. Larger growth rates and disturbance amplification factors of about 70 are predicted for the conditions in the experiment in which mixing was observed to occur. The experimental observations are consistent with an instability having a longitudinal structure.We conclude that the form and development of breaking in internal gravity waves will vary according to the circumstances in which waves break, but depend on the Prandtl number of the fluid and, in particular, on the Rayleigh and Reynolds numbers of regions of static instability which develop as the waves overturn.

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

2001 ◽  
Vol 7 (2s) ◽  
pp. 26-33 ◽  
Author(s):  
O.E. Gotynyan ◽  
◽  
V.N. Ivchenko ◽  
Yu.G. Rapoport ◽  
◽  
...  
Keyword(s):  
Gravity Waves ◽  
Greenhouse Effect ◽  
Internal Gravity Waves

scholarly journals Internal gravity waves generated by an impulsive plume

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Alan Brandt ◽  
Kara R. Shipley
Keyword(s):  
Gravity Waves ◽  
Internal Gravity Waves

scholarly journals Shear-induced breaking of internal gravity waves

2021 ◽  
Vol 921 ◽  
Author(s):  
Christopher J. Howland ◽  
John R. Taylor ◽  
C.P. Caulfield
Keyword(s):  
Gravity Waves ◽  
Internal Gravity Waves

Abstract

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

2014 ◽  
Vol 32 (2) ◽  
pp. 181-186 ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document