Perturbation theory for the δ-correlated model of passive scalar advection near the Batchelor limit
- 1 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (2) , R1263-R1266
- https://doi.org/10.1103/physreve.55.r1263
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 O(ε), implying an anomalous scaling of the third-order correlation function and the persistence of small scale anisotropy.Keywords
This publication has 1 reference indexed in Scilit:
- Representation of Lie Groups and Special FunctionsPublished by Springer Nature ,1991