Energy-flux vector in anisotropic turbulence: application to rotating turbulence

  title={Energy-flux vector in anisotropic turbulence: application to rotating turbulence},
  author={Naoto Yokoyama and Masanori Takaoka},
  journal={Journal of Fluid Mechanics},
Abstract Energy flux plays a key role in analyses of energy-cascading turbulence. In isotropic turbulence, the flux is given by a scalar as a function of the magnitude of the wavenumber. On the other hand, the flux in anisotropic turbulence should be a geometric vector that has a direction as well as a magnitude, and depends not only on the magnitude of the wavenumber but also on its direction. The energy-flux vector in anisotropic turbulence cannot be uniquely determined in a way used for the… 

Transfers of energy and helicity in helical rotating turbulence

Abstract Helical rotating turbulence is a chiral and anisotropic flow. The energy and helicity transfers of helical rotating turbulence are studied in this paper. First, we discuss the antisymmetry

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Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence.

The wave number and frequency-wave-number spectra are found to be compatible with the theory of weak wave turbulence and the characteristic timescale of the dual cascade is that expected for four-wave resonant interactions.

Three-dimensionality of the triadic resonance instability of a plane inertial wave

We analyze theoretically and experimentally the triadic resonance instability (TRI) of a plane inertial wave in a rotating fluid. Building on the classical triadic interaction equations between

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This article discusses triad transfer analysis via quadratic nonlinearity. To avoid fictitious interactions, symmetrization of the triad transfer is reviewed, including arbitrary orthogonal

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Abstract In inertial-range turbulence, structure functions can diagnose transfer or dissipation rates of energy and enstrophy, which are difficult to calculate directly in flows with complex geometry



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We perform direct numerical simulations and analyze the ring-to-ring energy transfer in the three-dimensional hydrodynamic turbulence rendered anisotropic by rapid rotation. The rotation rate is

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The transition from the strong to the weak turbulence regime occurs by reducing the number of effective modes in the energy cascade, which is based on a detailed analysis of three-dimensional numerical flows at moderate Reynolds numbers.

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Weak inertial-wave turbulence theory.

  • S. Galtier
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
A weak wave turbulence theory is established for incompressible fluids under rapid rotation using a helicity decomposition, and the kinetic equations for energy E and helicity H are derived for three-wave coupling and it is proved that the energy cascade is to small scales.


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  • A. Alexakis
  • Physics, Environmental Science
    Journal of Fluid Mechanics
  • 2017
A decomposition of the energy and helicity fluxes is used to analyse turbulent hydrodynamic flows. The decomposition is based on the projection of the flow to a helical basis. This allows the roles

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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

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Forced turbulence in a rotating frame is studied using numerical simulations in a triply periodic box. The random forcing is three dimensional and localized about an intermediate wavenumber kf. The

Toward a theory of interstellar turbulence. 2. Strong Alfvenic turbulence

We continue to investigate the possibility that interstellar turbulence is caused by nonlinear interactions among shear Alfven waves. Here, as in Paper I, we restrict attention to the symmetric case