Evolution of anisotropic structures and turbulence in the multidimensional Burgers equation

Sergey N. Gurbatov, Alexander Yu. Moshkov, and Alain Noullez
Phys. Rev. E 81, 046312 – Published 22 April 2010

Abstract

The goal of the present paper is the investigation of the final evolution of anisotropic regular structures and turbulence at large Reynolds number in the multidimensional Burgers equation. We show that we have local isotropization at small scales of the velocity and potential fields inside cellular zones. For periodic waves, we have simple decay inside a frozen structure. The global structure at large times is determined by the initial correlations and for short range correlated fields we have isotropization of turbulence. Finally, we consider the final behavior of the field, when the processes of nonlinear beating interactions become frozen, and the evolution of the field is determined only by the linear dissipation.

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  • Received 20 August 2008

DOI:https://doi.org/10.1103/PhysRevE.81.046312

©2010 American Physical Society

Authors & Affiliations

Sergey N. Gurbatov* and Alexander Yu. Moshkov

  • Department of Radiophysics, University of Nizhny Novgorod, 23, Gagarin Avenue, Nizhny Novgorod 603950, Russia

Alain Noullez

  • Observatoire de la Côte d’Azur, Laboratory Cassiopée, B.P. 4229, F-06304 Nice Cedex 4, France

  • *gurb@rf.unn.ru; Also at Observatoire de la Côte d’Azur, Lab. Cassiopée, B.P. 4229, F-06304 Nice Cedex 4, France
  • anz@obs-nice.fr

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Issue

Vol. 81, Iss. 4 — April 2010

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