Discussion on: “Global Stabilization of a Nonlinear Ginzburg-Landau Model of Vortex Shedding”

2004 ◽  
Vol 10 (2) ◽  
pp. 117-118
Author(s):  
Gregory Hagen
Keyword(s):  
Vortex Shedding ◽  
Global Stabilization ◽  
Ginzburg Landau ◽  
Landau Model

Global Stabilization of a Nonlinear Ginzburg-Landau Model of Vortex Shedding

2004 ◽  
Vol 10 (2) ◽  
pp. 105-116 ◽  
Author(s):  
Ole Morten Aamo ◽  
Miroslav Krstic
Keyword(s):  
Vortex Shedding ◽  
Global Stabilization ◽  
Ginzburg Landau ◽  
Landau Model

Boundary Control of the Linearized Ginzburg--Landau Model of Vortex Shedding

2005 ◽  
Vol 43 (6) ◽  
pp. 1953-1971 ◽  
Author(s):  
Ole Morten Aamo ◽  
Andrey Smyshlyaev ◽  
Miroslav Krstic
Keyword(s):  
Boundary Control ◽  
Vortex Shedding ◽  
Ginzburg Landau ◽  
Landau Model

The flow behind rings: bluff body wakes without end effects

1995 ◽  
Vol 288 ◽  
pp. 265-310 ◽  
Author(s):  
T. Leweke ◽  
M. Provansal
Keyword(s):  
Reynolds Number ◽  
Vortex Shedding ◽  
Bluff Body ◽  
Reynolds Numbers ◽  
Finite Cylinder ◽  
Near Wake ◽  
End Effects ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Cylinder Wakes

Recent studies have demonstrated the strong influence of end effects on low-Reynoldsnumber bluff body wakes, and a number of questions remain concerning the intrinsic nature of three-dimensional phenomena in two-dimensional configurations. Some of them are answered by the present study which investigates the wake of bluff rings (i.e. bodies without ends) both experimentally and by application of the phenomenological Ginzburg–Landau model. The model turns out to be very accurate in describing qualitative and quantitative observations in a large Reynolds number interval. The experimental study of the periodic vortex shedding regime shows the existence of discrete shedding modes, in which the wake takes the form of parallel vortex rings or ‘oblique’ helical vortices, depending on initial conditions. The Strouhal number is found to decrease with growing body curvature, and a global expression for the Strouhal–Reynolds number relation, including curvature and shedding angle, is proposed, which is consistent with previous straight cylinder results. A secondary instability of the helical modes at low Reynolds numbers is discovered, and a detailed comparison with the Ginzburg–Landau model identifies it as the Eckhaus modulational instability of the spanwise structure of the near-wake formation region. It is independent of curvature and its clear observation in straight cylinder wakes is inhibited by end effects.The dynamical model is extended to higher Reynolds numbers by introducing variable parameters. In this way the instability of periodic vortex shedding which marks the beginning of the transition range is characterized as the Benjamin–Feir instability of the coupled oscillation of the near wake. It is independent of the shear layer transition to turbulence, which is known to occur at higher Reynolds numbers. The unusual shape of the Strouhal curve in this flow regime, including the discontinuity at the transition point, is qualitatively reproduced by the Ginzburg–Landau model. End effects in finite cylinder wakes are found to cause important changes in the transition behaviour also: they create a second Strouhal discontinuity, which is not observed in the present ring wake experiments.

Output Feedback Boundary Control of a Ginzburg–Landau Model of Vortex Shedding

2007 ◽  
Vol 52 (4) ◽  
pp. 742-748 ◽  
Author(s):  
Ole Morten Aamo ◽  
Andrey Smyshlyaev ◽  
Miroslav Krstic ◽  
Bjarne A. Foss
Keyword(s):  
Boundary Control ◽  
Vortex Shedding ◽  
Output Feedback ◽  
Ginzburg Landau ◽  
Landau Model

scholarly journals A theory of giant vortices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller
Keyword(s):  
Asymptotic Expansion ◽  
Analytic Form ◽  
Scalar Fields ◽  
Winding Number ◽  
Asymptotic Results ◽  
Convergence Region ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Neutral Scalar ◽  
Vortex Solutions

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.

Growth of fluctuations in quenched time-dependent Ginzburg-Landau model systems

1978 ◽  
Vol 17 (1) ◽  
pp. 455-470 ◽  
Author(s):  
Kyozi Kawasaki ◽  
Mehmet C. Yalabik ◽  
J. D. Gunton
Keyword(s):  
Model Systems ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Landau Model

Metastability of Ginzburg-Landau model with a conservation law

1994 ◽  
Vol 74 (3-4) ◽  
pp. 705-742 ◽  
Author(s):  
Horng-Tzer Yau
Keyword(s):  
Conservation Law ◽  
Ginzburg Landau ◽  
Landau Model
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