Title

Time averaging, hierarchy of the governing equations, and the balance of turbulent kinetic energy

Department/School

Mathematics

Date

1-1-2006

Document Type

Book Chapter

Keywords

atmospheric boundary layer, closure problem

Abstract

We discuss a connection between governing equations, constitutive theory, and closure problem for atmospheric boundary layer. Such a connection is of prime importance in building algorithms for numerical simulations. We consider averaging in time and its relation to the Boussinesq approximation of the governing equations. We introduce a notion of instantaneous turbulent kinetic energy and derive a new balance equation for its material derivative.

Published in

Mathematical and Physical Theory of Turbulence

Citation/Other Information

Dokken, D. P. & Shvartsman, M. M. (2006). Time averaging, hierarchy of the governing equations, and the balance of turbulent kinetic energy. In J. Cannon & B. Shivamoggi (Eds.), Mathematical and Physical Theory of Turbulence, Volume 250 (pp. 169–178). Chapman and Hall/CRC.

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