Long-term memory in experiments and numerical simulations of hydrodynamic and magnetohydrodynamic turbulence

Pablo Mininni (1) , Pablo Dmitruk (1) , Philippe Odier (2) , Jean-François Pinton (2) , Nicolas Plihon (2) , Gautier Verhille (3) , Romain Volk (2) , Mickaël Bourgoin (4)

1 UBA - Universidad de Buenos Aires [Buenos Aires]
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
3 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
4 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]

We analyze time series stemming from experiments and direct numerical simulations of hydrodynamic and magnetohydrodynamic turbulence. Simulations are done in periodic boxes, but with a volumetric forcing chosen to mimic the geometry of the flow in the experiments, the von Kármán swirling flow between two counterrotating impellers. Parameters in the simulations are chosen to (within computational limitations) allow comparisons between the experiments and the numerical results. Conducting fluids are considered in all cases. Two different configurations are considered: a case with a weak externally imposed magnetic field and a case with self-sustained magnetic fields. Evidence of long-term memory and 1/f noise is observed in experiments and simulations, in the case with weak magnetic field associated with the hydrodynamic behavior of the shear layer in the von Kármán flow, and in the dynamo case associated with slow magnetohydrodynamic behavior of the large-scale magnetic field.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des structures [physics.class-ph]

Pablo Mininni, Pablo Dmitruk, Philippe Odier, Jean-François Pinton, Nicolas Plihon, et al.. Long-term memory in experiments and numerical simulations of hydrodynamic and magnetohydrodynamic turbulence. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, Physical Review E, 89, pp.053005. ⟨10.1103/PhysRevE.89.053005⟩. ⟨hal-01140470⟩