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
COinS
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.