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Nazarenko, Sergei; Schekochihin, Alexander A. (2011)
Publisher: Cambridge University Press
Languages: English
Types: Article
Subjects: QA

Classified by OpenAIRE into

arxiv: Physics::Space Physics, Physics::Fluid Dynamics
It is proposed that critical balance - a scale-by-scale balance between the linear propagation and nonlinear interaction time scales - can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and stratified turbulence are considered under this assumption and, in particular, a novel and experimentally testable energy cascade scenario and a set of scalings of the spectra are proposed for low-Rossby-number rotating turbulence. It is argued that in neutral fluids the critically balanced anisotropic cascade provides a natural path from strong anisotropy at large scales to isotropic Kolmogorov turbulence at very small scales. It is also argued that the k(perpendicular to)(-2) spectra seen in recent numerical simulations of low-Rossby-number rotating turbulence may be analogous to the k(perpendicular to)(-3/2) spectra of the numerical MHD turbulence in the sense that they could be explained by assuming that fluctuations are polarised (aligned) approximately as inertial waves (Alfven waves for MHD).

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