Inhomogeneous Anisotropic Passive Scalars

Details Inhomogeneous Anisotropic Passive Scalars Inhomogeneous Anisotropic Passive Scalars

2004-11-03

arxiv.org/abs/nlin/0411008v1

Journal of Turbulence 6, 1 (2005)

Nonlinear Sciences

Chaotic Dynamics

14 pages, 5 figures

Scientific paper

We investigate the behaviour of the two-point correlation function in the context of passive scalars for non homogeneous, non isotropic forcing ensembles. Exact analytical computations can be carried out in the framework of the Kraichnan model for each anisotropic sector. It is shown how the homogeneous solution is recovered at separations smaller than an intrinsic typical lengthscale induced by inhomogeneities, and how the different Fourier modes in the centre-of-mass variable recombine themselves to give a ``beating'' (superposition of power laws) described by Bessel functions. The pure power-law behaviour is restored even if the inhomogeneous excitation takes place at very small scales.

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