Abstract

Abstract

Highlights

  • One of the most important subjects in turbulence research is how energy, which is provided by external force and dissipated by viscosity, is transferred among scales via nonlinear interactions

  • According to the conjecture of the critical balance (Goldreich & Sridhar 1995; Nazarenko 2011; Nazarenko & Schekochihin 2011), the energy is considered to be transferred along the wavenumbers at which the linear wave period is comparable with the eddy turnover time of the isotropic Kolmogorov turbulence in the buffer range between the wavenumber ranges of the weak-wave turbulence and the isotropic Kolmogorov turbulence

  • The energy flux for a more commonly used external forcing is shown in detail. It is consistent with the weak turbulence theory in the wavenumber range where the energy spectrum agrees with the weak turbulence theory, but is observed to be inconsistent with that predicted by the critical balance in the buffer range in this simulation

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Summary

Introduction

One of the most important subjects in turbulence research is how energy, which is provided by external force and dissipated by viscosity, is transferred among scales via nonlinear interactions. According to the conjecture of the critical balance (Goldreich & Sridhar 1995; Nazarenko 2011; Nazarenko & Schekochihin 2011), the energy is considered to be transferred along the wavenumbers at which the linear wave period is comparable with the eddy turnover time of the isotropic Kolmogorov turbulence in the buffer range between the wavenumber ranges of the weak-wave turbulence and the isotropic Kolmogorov turbulence. The energy flux for a more commonly used external forcing is shown in detail It is consistent with the weak turbulence theory in the wavenumber range where the energy spectrum agrees with the weak turbulence theory, but is observed to be inconsistent with that predicted by the critical balance in the buffer range in this simulation.

Formulation of energy-flux vector
Integrated energy fluxes
Minimal-norm energy-flux vector
Energy-flux vector in HIT
Application to strongly rotating turbulence
Theoretical prediction of energy flux in rotating turbulence
Comparison with the weak turbulence theory
Energy flux in DNS with isotropic forcing
Discussion
Summary
Full Text
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