Scale interactions in magnetohydrodynamic turbulence
arXiv:1006.1817 · doi:10.1146/annurev-fluid-122109-160748
Abstract
This article reviews recent studies of scale interactions in magnetohydrodynamic turbulence. The present day increase of computing power, which allows for the exploration of different configurations of turbulence in conducting flows, and the development of shell-to-shell transfer functions, has led to detailed studies of interactions between the velocity and the magnetic field and between scales. In particular, processes such as induction and dynamo action, the damping of velocity fluctuations by the Lorentz force, or the development of anisotropies, can be characterized at different scales. In this context we consider three different configurations often studied in the literature: mechanically forced turbulence, freely decaying turbulence, and turbulence in the presence of a uniform magnetic field. Each configuration is of interest for different geophysical and astrophysical applications. Local and non-local transfers are discussed for each case. While the transfer between scales of solely kinetic or solely magnetic energy is local, transfers between kinetic and magnetic fields are observed to be local or non-local depending on the configuration. Scale interactions in the cascade of magnetic helicity are also reviewed. Based on the results, the validity of several usual assumptions in hydrodynamic turbulence, such as isotropy of the small scales or universality, is discussed.
Posted with permission from the Annual Review of Fluid Mechanics, Volume 43 (c) 2011 by Annual Reviews, http://www.annualreviews.org
References in corpus (19)
- Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium
- Simulations of nonhelical hydromagnetic turbulence
- Dynamic Alignment in Driven Magnetohydrodynamic Turbulence
- Role of cross helicity in magnetohydrodynamic turbulence
- Is nonhelical hydromagnetic turbulence peaked at small scales?
- Rapid directional alignment of velocity and magnetic field in magnetohydrodynamic turbulence
- Large scale flow effects, energy transfer, and self-similarity on turbulence
- Thermodynamic ground states of platinum metal nitrides
- Turbulent small-scale dynamo action in solar surface simulations
- Comparison of spectral slopes of magnetohydrodynamic and hydrodynamic turbulence and measurements of alignment effects
- Numerical Measurements of the Spectrum in Magnetohydrodynamic Turbulence
- Non-local interactions in hydrodynamic turbulence at high Reynolds numbers: the slow emergence of scaling laws
- Energy spectra stemming from interactions of Alfven waves and turbulent eddies
- Anisotropic fluxes and nonlocal interactions in MHD turbulence
- Exact scaling laws and the local structure of isotropic magnetohydrodynamic turbulence
- Testing for Markovian Character and Modeling of Intermittency in Solar Wind Turbulence
- Nonlocal Phenomenology for anisotropic MHD turbulence
- Phenomenology of turbulent dynamo growth and saturation
- The Lagrangian-averaged model for magnetohydrodynamics turbulence and the absence of bottleneck
Cited by in corpus (41)
- Inverse energy cascade in three-dimensional isotropic turbulence
- Dynamo theories
- A Weakened Cascade Model for Turbulence in Astrophysical Plasmas
- Energy transfer in compressible magnetohydrodynamic turbulence
- Large-scale anisotropy in stably stratified rotating flows
- Waves and vortices in the inverse cascade regime of stratified turbulence with or without rotation
- Structures and dynamics of small scales in decaying magnetohydrodynamic turbulence
- Nonuniversality and finite dissipation in decaying magnetohydrodynamic turbulence
- The influence of accretion disk thickness on the large-scale magnetic dynamo
- On the emergence of very long time fluctuations and 1/f noise in ideal flows
- Residual Energy in Magnetohydrodynamic Turbulence
- Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence
- Nonlinear transverse cascade and two-dimensional magnetohydrodynamic subcritical turbulence in plane shear flows
- As a matter of dynamical range -- scale dependent energy dynamics in MHD turbulence
- On the spatio-temporal behavior of magnetohydrodynamic turbulence in a magnetized plasma
- As a matter of tension -- kinetic energy spectra in MHD turbulence
- Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence
- The Dynamics of Truncated Black Hole Accretion Disks II: Magnetohydrodynamic Case
- Reynolds-number dependence of the dimensionless dissipation rate in homogeneous magnetohydrodynamic turbulence
- On the locality of MHD turbulence scale fluxes
- Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection
- Test particle energization and the anisotropic effects of dynamical MHD turbulence
- Gyrokinetic turbulence: between idealized estimates and a detailed analysis of nonlinear energy transfers
- Scale dependence and cross-scale transfer of kinetic energy in compressible hydrodynamic turbulence at moderate Reynolds numbers
- Large-scale dynamics of magnetic helicity
- Effects of magnetic and kinetic helicities on the growth of magnetic fields in laminar and turbulent flows by helical-Fourier decomposition
- Spatio-temporal behavior of magnetohydrodynamic fluctuations with cross-helicity and background magnetic field
- Quantifying resonant and near-resonant interactions in rotating turbulence
- Triad interactions and the bidirectional turbulent cascade of magnetic helicity
- Kinetic and internal energy transfer in implicit large eddy simulations of forced compressible turbulence
- Examination of the four-fifths law for longitudinal third-order moments in incompressible magnetohydrodynamic turbulence in a periodic box
- Long-term memory in experiments and numerical simulations of hydrodynamic and magnetohydrodynamic turbulence
- High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
- Effects of forcing mechanisms on the multiscale properties of magnetohydrodynamics
- The decay of Batchelor and Saffman rotating turbulence
- Power spectrum of turbulent convection in the solar photosphere
- On uniqueness of transfer rates in magnetohydrodynamic turbulence
- Fully resolved array of simulations investigating the influence of the magnetic Prandtl number on magnetohydrodynamic turbulence
- Partial invariants, large-scale dynamo action, and the inverse transfer of magnetic helicity
- Nature and dynamics of overreflection of Alfven waves in MHD shear flows
- Kinetic energy cascades in quasi-geostrophic convection in a spherical shell