Publication Date:
2002-04-10
Description:
In decaying two-dimensional Navier-Stokes turbulence, Batchelor's similarity hypothesis fails due to the existence of coherent vortices. However, it is shown that decaying two-dimensional turbulence governed by the Charney-Hasegawa-Mima (CHM) equation ∂-∂t(∇2 φ - λ2 φ) + J (φ, ∇2 φ) = D, where D is a damping, is described well by Batchelor's similarity hypothesis for wave numbers k ≪ λ (the so-called AM regime). It is argued that CHM turbulence in the AM regime is a more 'ideal' form of two-dimensional turbulence than is Navier-Stokes turbulence itself.
Print ISSN:
0022-1120
Electronic ISSN:
1469-7645
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
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