Year: 1996
Type: preprint
Abstract: The third order correlation function of the scalar field advected by a Gaussian random velocity, with a spatial scaling exponent $2 - ε$, and in the presence of a mean gradient, is calculated perturbatively in $ε<< 1$. This expansion corresponds to the regime close to Batchelor's advection by linear diffeomorphisms. The scaling exponent is found to be equal to 1 in dimensions 2 and 3, up to corrections smaller than $ { \cal O } ( ε) $, implying an anomalous scaling of the third order correlation function and the persistence of small scale anisotropy.
Source: arXiv (Cornell University)
Institutions: Institut de Physique de Nice, Cornell University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1651491066