Transient inverse energy cascade in free surface turbulence

Free energy cascade in gyrokinetic turbulence.

In gyrokinetic theory, the quadratic nonlinearity is known to play an important role in the dynamics by redistributing (in a conservative fashion) the free energy between the various active scales. In the present study, the free energy transfer is analyzed for the case of ion temperature gradient driven turbulence. It is shown that it shares many properties with the energy transfer in fluid tur...

Inverse energy cascade in three-dimensional isotropic turbulence.

We study the statistical properties of homogeneous and isotropic three-dimensional (3D) turbulent flows. By introducing a novel way to make numerical investigations of Navier-Stokes equations, we show that all 3D flows in nature possess a subset of nonlinear evolution leading to a reverse energy transfer: from small to large scales. Up to now, such an inverse cascade was only observed in flows ...

Inverse energy cascade in nonlocal helical shell models of turbulence.

Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)], we introduce a modified version of helical shell models for turbulence with nonlocal triadic interactions. By using both an analytical argument and numerical simulation, we show that there exists a class of models, with a specific helical stru...

The Inverse Energy Cascade of Two-Dimensional Turbulence

Turbulence: does energy cascade exist?

Christophe Josserand, Martine Le Berre, Thierry Lehner and Yves Pomeau 1 Sorbonne Universités, CNRS & UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France. 2 Institut des Sciences Moléculaires d’Orsay ISMO-CNRS Université Paris-Sud Bat. 210 91405 Orsay Cedex, France. 3 Observatoire de Paris, LUTH, France. 4 Department of Mathematics University of ArizonaTucson ...