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Evolution of Localized Vortices in the Presence of Stochastic Perturbations : Volume 13, Issue 1 (10/03/2006)

By Bécu, E.

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Book Id: WPLBN0004019777
Format Type: PDF Article :
File Size: Pages 11
Reproduction Date: 2015

Title: Evolution of Localized Vortices in the Presence of Stochastic Perturbations : Volume 13, Issue 1 (10/03/2006)  
Author: Bécu, E.
Volume: Vol. 13, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2006
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Pavlov, V., & Bécu, E. (2006). Evolution of Localized Vortices in the Presence of Stochastic Perturbations : Volume 13, Issue 1 (10/03/2006). Retrieved from http://www.ebooklibrary.org/


Description
Description: Laboratoire de MÉcanique de Lille, Boulevard Paul Langevin, 59 655 Villeneuve d'Ascq, France. We consider the evolution of a distribution of N identical point vortices when stochastic perturbations in the Hamiltonian are present. It is shown that different initial configurations of vorticity with identical integral invariants may exist. Using the Runge-Kutta scheme of order 4, it is also demonstrated that different initial configurations with the same invariants may evolve without having any tendency to approach to a unique final, axially symmetric, distribution. In the presence of stochastic perturbations, if the initial distribution of vortices is not axially symmetric, vortices can be trapped in certain domains whose location is correlated with the configuration of the initial vortex distribution.

Summary
Evolution of localized vortices in the presence of stochastic perturbations

 

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