Authors
Hudong Chen, Shiyi Chen, Robert H Kraichnan
Publication date
1989/12/11
Journal
Physical review letters
Volume
63
Issue
24
Pages
2657
Publisher
American Physical Society
Description
A systematic method is outlined for constructing workable approximations to the joint probability distribution scrP (ψ, ξ) of amplitude ψ and spatial gradient ξ of an active or passive scalar field that is advected by a prescribed isotropically distributed stochastic velocity field and subjected to molecular diffusion. scrP (ψ, ξ) is sampled along fluid-element paths, and closure is obtained by taking a multivariate-Gaussian reference field ψ 0 (x) and distorting it locally in x space so that it exhibits the current scrP (pxi, ξ).
Total citations
Scholar articles
H Chen, S Chen, RH Kraichnan - Physical review letters, 1989