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Long-Range Order and Deformation Radius Effects in 2-D Turbulence

  • N. N. Kukharkin
  • S. A. Orszag
  • V. Yakhot
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)

Abstract

The most prominent feature of a 2-D flow excited at a small scale l f is an inverse cascade, i.e. creation of large-scale motions from small-scale eddies. While in an infinite system with no external fields this process lasts forever, in a finite system of size L ≫ l f , energy eventually starts accumulating at L (“condensation”) and the energy spectrum becomes steeper, thus slowing down the inverse cascade. For a flow in an external field (including rotation, stratification, and magnetic fields), where a substantial part of the energy goes into waves, the inverse cascade often slows down after waves of the scale of the deformation radius L R , determined by the external field, are created. In these systems the energy spectrum first steepens at scale O(L R ), and then slowly larger motions are generated due to energy leakage through the “shield” at L R . The basic questions are: What are the dominant structures in this phenomenon? If structures exist, how are they distributed in physical space? Can the flow achieve a stable or a quasistationary configuration? We attempt to give at least partial answers to these questions.

Keywords

External Field Rossby Wave Potential Vorticity Giant Planet Scalar Nonlinearity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • N. N. Kukharkin
    • 1
  • S. A. Orszag
    • 1
  • V. Yakhot
    • 1
  1. 1.Fluid Dynamics Research CenterPrinceton UniversityPrincetonUSA

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