On the nonlinear evolution of wind-driven gravity waves

2004 ◽  
Vol 16 (9) ◽  
pp. 3256-3268 ◽  
Author(s):  
A. Alexakis ◽  
A. C. Calder ◽  
L. J. Dursi ◽  
R. Rosner ◽  
J. W. Truran ◽  
...  
Keyword(s):  
Gravity Waves ◽  
Nonlinear Evolution

Nonlinear Evolution of Internal Gravity Waves in Cluster Cooling Flows

1995 ◽  
Vol 446 ◽  
pp. 529 ◽  
Author(s):  
Eric A. Lufkin ◽  
Steven A. Balbus ◽  
John F. Hawley
Keyword(s):  
Gravity Waves ◽  
Nonlinear Evolution ◽  
Internal Gravity Waves ◽  
Cooling Flows

scholarly journals On dispersion of directional surface gravity waves

2017 ◽  
Vol 812 ◽  
pp. 681-697 ◽  
Author(s):  
Tore Magnus A. Taklo ◽  
Karsten Trulsen ◽  
Harald E. Krogstad ◽  
José Carlos Nieto Borge
Keyword(s):  
Gravity Waves ◽  
Nonlinear Evolution ◽  
Laboratory Data ◽  
Surface Gravity ◽  
Linear Dispersion ◽  
Marine Research ◽  
Surface Gravity Waves ◽  
Linear Dispersion Relation ◽  
Directional Waves ◽  
Crest Length

Using a nonlinear evolution equation we examine the dependence of the dispersion of directional surface gravity waves on the Benjamin–Feir index (BFI) and crest length. A parameter for describing the deviation between the dispersion of simulated waves and the theoretical linear dispersion relation is proposed. We find that for short crests the magnitude of the deviation parameter is low while for long crests the magnitude is high and depends on the BFI. In the present paper we also consider laboratory data of directional waves from the Marine Research Institute of the Netherlands (MARIN). The MARIN data confirm the simulations for three cases of BFI and crest length.

scholarly journals The impact of gravity waves rising from convection in the lower atmosphere on the generation and nonlinear evolution of equatorial bubble

2009 ◽  
Vol 27 (4) ◽  
pp. 1657-1668 ◽  
Author(s):  
E. Alam Kherani ◽  
M. A. Abdu ◽  
E. R. de Paula ◽  
D. C. Fritts ◽  
J. H. A. Sobral ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Gravity Wave ◽  
Gravity Waves ◽  
Nonlinear Evolution ◽  
Lower Atmosphere ◽  
Plasma Bubble ◽  
Plasma Bubbles ◽  
F Region ◽  
Interchange Instability ◽  
Do So

Abstract. The nonlinear evolution of equatorial F-region plasma bubbles under varying ambient ionospheric conditions and gravity wave seeding perturbations in the bottomside F-layer is studied. To do so, the gravity wave propagation from the convective source region in the lower atmosphere to the thermosphere is simulated using a model of gravity wave propagation in a compressible atmosphere. The wind perturbation associated with this gravity wave is taken as a seeding perturbation in the bottomside F-region to excite collisional-interchange instability. A nonlinear model of collisional-interchange instability (CII) is implemented to study the influences of gravity wave seeding on plasma bubble formation and development. Based on observations during the SpreadFEx campaign, two events are selected for detailed studies. Results of these simulations suggest that gravity waves can play a key role in plasma bubble seeding, but that they are also neither necessary nor certain to do so. Large gravity wave perturbations can result in deep plasma bubbles when ionospheric conditions are not conducive by themselves; conversely weaker gravity wave perturbations can trigger significant bubble events when ionospheric conditions are more favorable. But weak gravity wave perturbations in less favorable environments cannot, by themselves, lead to strong plasma bubble responses.

scholarly journals Fourth Order Nonlinear Evolution Equation For Interfacial Gravity Waves In The Presence Of Air Flowing Over Water And A Basic Current Shear

2015 ◽  
Vol 20 (3) ◽  
pp. 517-530
Author(s):  
D.P. Majumder ◽  
A.K. Dhar
Keyword(s):  
Evolution Equation ◽  
Gravity Waves ◽  
Fourth Order ◽  
Water Waves ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Wave Train ◽  
Wave Number ◽  
Marginal Stability ◽  
Starting Point

Abstract A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth in the presence of air flowing over water and a basic current shear. A stability analysis is then made for a uniform Stokes gravity wave train. Graphs are plotted for the maximum growth rate of instability and for wave number at marginal stability against wave steepness for different values of air flow velocity and basic current shears. Significant deviations are noticed from the results obtained from the third order evolution equation, which is the nonlinear Schrödinger equation.

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