Helicity dynamics, inverse, and bidirectional cascades in fluid and magnetohydrodynamic turbulence: a brief review

A Pouquet, D Rosenberg, JE Stawarz… - Earth and Space …, 2019 - Wiley Online Library
We briefly review helicity dynamics, inverse and bidirectional cascades in fluid and
magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a …

Simulations of the small-scale turbulent dynamo

AA Schekochihin, SC Cowley, SF Taylor… - The Astrophysical …, 2004 - iopscience.iop.org
We report the results of an extensive numerical study of the small-scale turbulent dynamo.
The primary focus is on the case of large magnetic Prandtl numbers Pr m, which is relevant …

Magnetic field reversals in an experimental turbulent dynamo

M Berhanu, R Monchaux, S Fauve, N Mordant… - Europhysics …, 2007 - iopscience.iop.org
We report the first experimental observation of reversals of a dynamo field generated in a
laboratory experiment based on a turbulent flow of liquid sodium. The magnetic field …

Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers

AA Schekochihin, AB Iskakov, SC Cowley… - New Journal of …, 2007 - iopscience.iop.org
This paper is a detailed report on a programme of direct numerical simulations of
incompressible nonhelical randomly forced magnetohydrodynamic (MHD) turbulence that …

Magnetic-field generation in Kolmogorov turbulence

S Boldyrev, F Cattaneo - Physical Review Letters, 2004 - APS
We analyze the initial, kinematic stage of magnetic field evolution in an isotropic and
homogeneous turbulent conducting fluid with a rough velocity field, v (l)∼ l α, α< 1. This …

Numerical study of dynamo action at low magnetic Prandtl numbers

Y Ponty, PD Mininni, DC Montgomery, JF Pinton… - Physical Review Letters, 2005 - APS
We present a three-pronged numerical approach to the dynamo problem at low magnetic
Prandtl numbers PM. The difficulty of resolving a large range of scales is circumvented by …

The von Kármán sodium experiment: turbulent dynamical dynamos

R Monchaux, M Berhanu, S Aumaître, A Chiffaudel… - Physics of …, 2009 - pubs.aip.org
The von Kármán Sodium (VKS) experiment studies dynamo action in the flow generated
inside a cylinder filled with liquid sodium by the rotation of coaxial impellers (the von Kármán …

The onset of a small-scale turbulent dynamo at low magnetic Prandtl numbers

AA Schekochihin, NEL Haugen… - The Astrophysical …, 2005 - iopscience.iop.org
We study numerically the dependence of the critical magnetic Reynolds number Rm c for the
turbulent small-scale dynamo on the hydrodynamic Reynolds number Re. The turbulence is …

Magnetohydrodynamics measurements in the von Kármán sodium experiment

M Bourgoin, L Marié, F Pétrélis, C Gasquet… - Physics of …, 2002 - pubs.aip.org
We study the magnetic induction in a confined swirling flow of liquid sodium, at integral
magnetic Reynolds numbers up to 50. More precisely, we measure in situ the magnetic field …

On the inverse cascade of magnetic helicity

A Alexakis, PD Mininni, A Pouquet - The Astrophysical Journal, 2006 - iopscience.iop.org
We study the inverse cascade of magnetic helicity in conducting fluids, as pertinent to the
generation and dynamics of magnetic fields as observed, eg, in the solar corona, by …