We investigate the influence of a uniform magnetic field B0 B0ek on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer reduction along B0 is included in a model that distinguishes parallel and perpendicular directions, following a phenomenology of Kraichnan. We predict a slowing down of the energy...
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February 22, 2008 (v1)Journal articleUploaded on: December 3, 2022
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2008 (v1)Journal article
Physical Review Letters, 100, p. 74502, http://dx.doi.org./10.1103/PhysRevLett.100.074502
Uploaded on: February 22, 2023 -
2008 (v1)Journal article
Physical Review Letters, 100, p. 74502, http://dx.doi.org./10.1103/PhysRevLett.100.074502
Uploaded on: December 4, 2022 -
2008 (v1)Journal article
Physical Review E, 78, p. 66301, http://dx.doi.org./10.1103/PhysRevE.78.066301
Uploaded on: December 3, 2022 -
2008 (v1)Journal article
Astronomy and Astrophysics, 490, pp. 325-337, http://dx.doi.org./10.1051/0004-6361:20079227
Uploaded on: December 3, 2022 -
February 22, 2008 (v1)Journal article
We investigate the influence of a uniform magnetic field B0 B0ek on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer reduction along B0 is included in a model that distinguishes parallel and perpendicular directions, following a phenomenology of Kraichnan. We predict a slowing down of the energy...
Uploaded on: October 11, 2023 -
2008 (v1)Journal article
Physical Review E, 77, p. 46303, http://dx.doi.org./10.1103/PhysRevE.77.046303
Uploaded on: December 3, 2022 -
2007 (v1)Journal article
Physical Review E, 76, p. 56313, http://dx.doi.org./10.1103/PhysRevE.76.056313
Uploaded on: December 3, 2022 -
2008 (v1)Journal article
Physical Review E, 78, p. 26310, http://dx.doi.org./10.1103/PhysRevE.78.026310
Uploaded on: December 3, 2022 -
2010 (v1)Journal article
Physics of Fluids, 22, p. 025104 (2010)
Uploaded on: December 4, 2022 -
2007 (v1)Journal article
New Journal of Physics, 9, p. 296, http://dx.doi.org./10.1088/1367-2630/9/8/296
Uploaded on: December 4, 2022 -
2000 (v1)Journal article
Intermittency in MHD turbulence has been analyzed using high resolution 2D numerical simulations. We show that the Probability Distribution Functions (PDFs) of the fluctuations of the Elsasser fields, magnetic field and velocity field depend on the scale at hand, that is they are self-affine. The departure of the PDFs from a Gaussian function...
Uploaded on: March 26, 2023 -
January 15, 2006 (v1)Publication
We compute numerically the threshold for dynamo action in Taylor-Green swirling flows. Kinematic calculations, for which the flow field is fixed to its time averaged profile, are compared to dynamical runs for which both the Navier-Stokes and the induction equations are jointly solved. The kinematic instability is found to have two branches,...
Uploaded on: December 4, 2022 -
April 29, 2005 (v1)Journal article
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 combining direct numerical simulations, a Lagrangian-averaged model and large-eddy simulations. The flow is generated by the Taylor-Green forcing; it combines a well...
Uploaded on: December 4, 2022 -
June 20, 2005 (v1)Journal article
A three-dimensional numerical computation of magnetohydrodynamic dynamo behavior is described. The dynamo is mechanically forced with a driving term of the Taylor-Green type. The magnetic field development is followed from negligibly small levels to saturated values that occur at magnetic energies comparable to the kinetic energies. Although...
Uploaded on: December 4, 2022 -
2005 (v1)Journal article
We present a three--pronged numerical approach to the dynamo problem at low magnetic Prandtl numbers $P_M$. The difficulty of resolving a large range of scales is circumvented by combining Direct Numerical Simulations, a Lagrangian-averaged model, and Large-Eddy Simulations (LES). The flow is generated by the Taylor-Green forcing; it combines a...
Uploaded on: March 1, 2023 -
August 2004 (v1)Journal article
International audience
Uploaded on: December 4, 2022 -
April 4, 2016 (v1)Journal article
We build on recent developments in the study of fluid turbulence [Gibbon \textit{et al.} Nonlinearity 27, 2605 (2014)] to define suitably scaled, order-$m$ moments, $D_m^{\pm}$, of $\omega^\pm= \omega \pm j$, where $\omega$ and $j$ are, respectively, the vorticity and current density in three-dimensional magnetohydrodynamics (MHD). We show by...
Uploaded on: December 3, 2022 -
2008 (v1)Journal article
The Taylor-Green flow is a model flow sharing many properties with the von Kármán flow, in which experimental turbulent dynamo action has recently been achieved. We present here recent numerical results on the Taylor-Green dynamo instability, both in the linear and non-linear regime. Various properties are considered, such as the influence of...
Uploaded on: December 3, 2022