One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence

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 ...

A closure model for intermittency in three dimensional incompressible turbulence

A simplified Lagrangean closure for the Navier-Stokes equation is used to study the production of intermittency in the inertial range of three dimensional turbulence. This is done using localized wavepackets following the fluid rather than a standard Fourier basis. In this formulation, the equation for the energy transfer acquires a noise term coming from the fluctuations in the energy content ...

Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence

Homogeneous anisotropic turbulence consisting of a collection of straight vortex structures is considered, each with a cylindrically unidirectional, but otherwise arbitrary, internal vorticity field. The orientations of the structures are given by a distribution P of appropriate Euler angles describing the transformation from laboratory to structure-fixed axes. One-dimensional spectra of the ve...

The intermediate Rossby number range and two- dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence

Rotating homogeneous turbulence in a finite domain is studied using numerical simulations, with a particular emphasis on the interactions between the wave and zero-frequency modes. Numerical simulations of decaying homogeneous turbulence subject to a wide range of background rotation rates are presented. The effect of rotation is examined in two finite periodic domains in order to test the effe...

Pseudospectral reduction of incompressible two-dimensional turbulence