Random advection of a passive scalar

Author: Gleeson, James P.

Year: 1999

Degree: Dissertation (Ph.D.)

Advisor: Saffman, Philip G.

Committee Member: Unknown, Unknown

Option: Applied Mathematics

DOI: 10.7907/1k1x-z678

Abstract

A novel functional method is applied to calculate the statistics of a passive scalar in a turbulent velocity field. The method yields asymptotic series expansions for small velocity correlation time, from which approximate closure equations are derived. Analytical and numerical solutions of the equations accurately predict effective diffusivities and give new results for the scalar spectrum. Formulas expressing the Lagrangian correlation of the velocity in the terms of the Eulerian correlation are given.

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