scholarly journals Vortex Interactions Subjected to Deformation Flows: A Review

Fluids ◽  
2019 ◽  
Vol 4 (1) ◽  
pp. 14 ◽  
Author(s):  
Konstantin Koshel ◽  
Eugene Ryzhov ◽  
Xavier Carton
Keyword(s):  
Review Paper ◽  
Point Vortex ◽  
Passive Scalar ◽  
Dynamical System Theory ◽  
Single Vortex ◽  
Vortex Interactions ◽  
Rotational Components ◽  
Coherent Vortices ◽  
Numerical And Analytical Methods ◽  
Submerged Obstacles

Deformation flows are the flows incorporating shear, strain and rotational components. These flows are ubiquitous in the geophysical flows, such as the ocean and atmosphere. They appear near almost any salience, such as isolated coherent structures (vortices and jets) and various fixed obstacles (submerged obstacles and continental boundaries). Fluid structures subject to such deformation flows may exhibit drastic changes in motion. In this review paper, we focus on the motion of a small number of coherent vortices embedded in deformation flows. Problems involving isolated one and two vortices are addressed. When considering a single-vortex problem, the main focus is on the evolution of the vortex boundary and its influence on the passive scalar motion. Two vortex problems are addressed with the use of point vortex models, and the resulting stirring patterns of neighbouring scalars are studied by a combination of numerical and analytical methods from the dynamical system theory. Many dynamical effects are reviewed with emphasis on the emergence of chaotic motion of the vortex phase trajectories and the scalars in their immediate vicinity.

scholarly journals Waves Trapped by Submerged Obstacles at High Frequencies

2007 ◽  
Vol 2007 ◽  
pp. 1-17 ◽  
Author(s):  
A. M. Marín ◽  
R. D. Ortíz ◽  
P. Zhevandrov
Keyword(s):  
Surface Water ◽  
Integral Equations ◽  
Water Waves ◽  
Trapped Modes ◽  
System Of Integral Equations ◽  
High Frequencies ◽  
Trapped Wave ◽  
Surface Water Waves ◽  
Horizontal Cylinders ◽  
Submerged Obstacles

As is well known, submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumberkin the direction of the cylinders, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies ask→∞in the case of one or two submerged cylinders by means of reducing the initial problem to a system of integral equations on the boundaries and then solving them using a technique suggested by Zhevandrov and Merzon (2003).

Generation of Harmonics by Non-Breaking Water Waves Over Permeable Submerged Breakwaters

2004 ◽  
Vol 20 (1) ◽  
pp. 57-67
Author(s):  
Chao-Lung Ting ◽  
Ming-Chung Lin
Keyword(s):  
Experimental Data ◽  
Harmonic Generation ◽  
Water Waves ◽  
Breaking Waves ◽  
Interesting Phenomenon ◽  
Frequency Components ◽  
Wave Profiles ◽  
Generation Of Harmonics ◽  
Submerged Obstacles ◽  
Submergence Depth

ABSTRACTThis work examines the interesting phenomenon of the generation of harmonics by non-breaking waves over permeable submerged obstacles. Nine model geometries, each with six different porosities, from 0.421 to 0.912, were considered to examine the effects of model width, porosity, and submergence depth on harmonic generation. The results revealed coupled effects on harmonic generation. A modified Ursell number was proposed to analyze experimental data. Almost no harmonic generation occurs at a modified Ursell number of less than five and/or a model width to wavelength ratio of over 1.6. After harmonics have been generated, wave profiles become dimpled, and the energy of the fundamental mode is transferred to higher-frequency components. Furthermore, the higher harmonics become more pronounced as the models widen, the depth of submergence becomes shallower, and model porosity declines.

scholarly journals Forced solitary waves and fronts past submerged obstacles

2005 ◽  
Vol 15 (3) ◽  
pp. 037106 ◽  
Author(s):  
B. J. Binder ◽  
J.-M. Vanden-Broeck ◽  
F. Dias
Keyword(s):  
Solitary Waves ◽  
Submerged Obstacles
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