Wave Transience and Wave-Mean Flow Interaction Caused by the Interference of Stationary and Traveling Waves

1985 ◽  
Vol 42 (6) ◽  
pp. 529-535 ◽  
Author(s):  
Anne K. Smith
Keyword(s):  
Traveling Waves ◽  
Mean Flow ◽  
Flow Interaction

Numerical study on the eddy–mean flow interaction between a cyclonic eddy and Kuroshio

2016 ◽  
Vol 72 (5) ◽  
pp. 727-745 ◽  
Author(s):  
Wu Geng ◽  
Qiang Xie ◽  
Gengxin Chen ◽  
Tingting Zu ◽  
Dongxiao Wang
Keyword(s):  
Numerical Study ◽  
Cyclonic Eddy ◽  
Mean Flow ◽  
Flow Interaction

scholarly journals Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves

2019 ◽  
Vol 875 ◽  
pp. 1145-1174 ◽  
Author(s):  
T. Congy ◽  
G. A. El ◽  
M. A. Hoefer
Keyword(s):  
Water Waves ◽  
Large Scale ◽  
Kdv Equation ◽  
Linear Wave ◽  
Mean Flow ◽  
Undular Bore ◽  
Expansion Waves ◽  
Flow Interaction ◽  
The Kdv Equation ◽  
New Type

A new type of wave–mean flow interaction is identified and studied in which a small-amplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, large-scale fluid state such as an expansion (rarefaction) wave or a dispersive shock wave (undular bore). The Korteweg–de Vries (KdV) equation is considered as a prototypical example of dynamic wavepacket–mean flow interaction. Modulation equations are derived for the coupling between linear wave modulations and a nonlinear mean flow. These equations admit a particular class of solutions that describe the transmission or trapping of a linear wavepacket by an unsteady hydrodynamic state. Two adiabatic invariants of motion are identified that determine the transmission, trapping conditions and show that wavepackets incident upon smooth expansion waves or compressive, rapidly oscillating dispersive shock waves exhibit so-called hydrodynamic reciprocity recently described in Maiden et al. (Phys. Rev. Lett., vol. 120, 2018, 144101) in the context of hydrodynamic soliton tunnelling. The modulation theory results are in excellent agreement with direct numerical simulations of full KdV dynamics. The integrability of the KdV equation is not invoked so these results can be extended to other nonlinear dispersive fluid mechanic models.

Changes in the global heat transport and eddy-mean flow interaction associated with weaker thermohaline circulation

2011 ◽  
Vol 32 (15) ◽  
pp. 2255-2270 ◽  
Author(s):  
Jeferson Prietsch Machado ◽  
Flavio Justino ◽  
Luciano Ponzi Pezzi
Keyword(s):  
Heat Transport ◽  
Thermohaline Circulation ◽  
Mean Flow ◽  
Flow Interaction
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