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

@article{Yokoyama2020EnergyfluxVI, title={Energy-flux vector in anisotropic turbulence: application to rotating turbulence}, author={Naoto Yokoyama and Masanori Takaoka}, journal={Journal of Fluid Mechanics}, year={2020}, volume={908} }

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…

## 7 Citations

### Transfers of energy and helicity in helical rotating turbulence

- PhysicsJournal of Fluid Mechanics
- 2022

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…

### Effects of the Coriolis force in inhomogeneous rotating turbulence

- PhysicsPhysics of Fluids
- 2022

The effects of the Coriolis force in inhomogeneous rotating turbulence are studied in the paper. Linear analyses and numerical simulations both reveal that energy is transported to the slowly…

### Local-flux vectors of conserved quantities in wavenumber space: Anisotropic structures in Charney–Hasegawa–Mima turbulence

- PhysicsPhysical Review Fluids
- 2022

### Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence.

- PhysicsPhysical review letters
- 2021

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

- Physics
- 2021

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…

### On the triad transfer analysis of plasma turbulence: symmetrization, coarse graining, and directional representation

- PhysicsNew Journal of Physics
- 2021

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

### Advective structure functions in anisotropic two-dimensional turbulence

- Environmental ScienceJournal of Fluid Mechanics
- 2021

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…

## References

SHOWING 1-10 OF 49 REFERENCES

### Anisotropic energy transfers in rapidly rotating turbulence

- PhysicsPhysics of Fluids
- 2019

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…

### Anisotropic fluxes and nonlocal interactions in magnetohydrodynamic turbulence.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

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.

### Energy-based analysis and anisotropic spectral distribution of internal gravity waves in strongly stratified turbulence

- Physics, Environmental SciencePhysical Review Fluids
- 2019

Stratified turbulence shows scale- and direction-dependent anisotropy and the coexistence of weak turbulence of internal gravity waves and strong turbulence of eddies. Straightforward application of…

### Weak inertial-wave turbulence theory.

- PhysicsPhysical 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.

### NONLINEAR DIFFUSION EQUATIONS FOR ANISOTROPIC MAGNETOHYDRODYNAMIC TURBULENCE WITH CROSS-HELICITY

- Physics
- 2010

Nonlinear diffusion equations of spectral transfer are systematically derived for anisotropic magnetohydrodynamics in the regime of wave turbulence. The background of the analysis is the asymptotic…

### Helically decomposed turbulence

- Physics, Environmental ScienceJournal 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…

### Wave turbulence in rapidly rotating flows

- PhysicsJournal of Fluid Mechanics
- 2006

An asymptotic quasi-normal Markovian (AQNM) model is developed in the limit of small Rossby number $Ro$ and high Reynolds number, i.e. for rapidly rotating turbulent flow. Based on the ‘slow’…

### Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture

- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2011

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…

### Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence

- Physics, Environmental Science
- 1999

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

- Physics
- 1994

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…