Probability distribution of a passive scalar: A soluble example

I. Goldhirsch; A. Yakhot

doi:10.1063/1.857578

Probability distribution of a passive scalar: A soluble example

I. Goldhirsch
, A. Yakhot

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The probability distribution, in space, of a passive scalar advected by a model, divergence-free, velocity field is analytically calculated. It is found to have a logarithmic singularity at the origin and a quasi-Gaussian decay away from it. The significance of this result for the general case of convection of passive scalars and the relation to a recent theory of Yakhot and Sinai [Phys. Rev. Lett. 63, 1962 (1989)] are discussed.

Original language	English
Pages (from-to)	1303-1305
Number of pages	3
Journal	Physics of Fluids A: Fluid Dynamics
Volume	2
Issue number	8
DOIs	https://doi.org/10.1063/1.857578
State	Published - 1 Jan 1990

ASJC Scopus subject areas

General Engineering

Access to Document

10.1063/1.857578

Cite this

@article{14a09909ac914e80946aef61c75849eb,

title = "Probability distribution of a passive scalar: A soluble example",

abstract = "The probability distribution, in space, of a passive scalar advected by a model, divergence-free, velocity field is analytically calculated. It is found to have a logarithmic singularity at the origin and a quasi-Gaussian decay away from it. The significance of this result for the general case of convection of passive scalars and the relation to a recent theory of Yakhot and Sinai [Phys. Rev. Lett. 63, 1962 (1989)] are discussed.",

author = "I. Goldhirsch and A. Yakhot",

year = "1990",

month = jan,

day = "1",

doi = "10.1063/1.857578",

language = "English",

volume = "2",

pages = "1303--1305",

journal = "Physics of Fluids A: Fluid Dynamics",

issn = "0899-8213",

publisher = "American Institute of Physics",

number = "8",

}

TY - JOUR

T1 - Probability distribution of a passive scalar

T2 - A soluble example

AU - Goldhirsch, I.

AU - Yakhot, A.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - The probability distribution, in space, of a passive scalar advected by a model, divergence-free, velocity field is analytically calculated. It is found to have a logarithmic singularity at the origin and a quasi-Gaussian decay away from it. The significance of this result for the general case of convection of passive scalars and the relation to a recent theory of Yakhot and Sinai [Phys. Rev. Lett. 63, 1962 (1989)] are discussed.

AB - The probability distribution, in space, of a passive scalar advected by a model, divergence-free, velocity field is analytically calculated. It is found to have a logarithmic singularity at the origin and a quasi-Gaussian decay away from it. The significance of this result for the general case of convection of passive scalars and the relation to a recent theory of Yakhot and Sinai [Phys. Rev. Lett. 63, 1962 (1989)] are discussed.

UR - https://www.scopus.com/pages/publications/33645064883

U2 - 10.1063/1.857578

DO - 10.1063/1.857578

M3 - Article

AN - SCOPUS:33645064883

SN - 0899-8213

VL - 2

SP - 1303

EP - 1305

JO - Physics of Fluids A: Fluid Dynamics

JF - Physics of Fluids A: Fluid Dynamics

IS - 8

ER -

Probability distribution of a passive scalar: A soluble example

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this