𝔖 Bobbio Scriptorium
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A KARHUNEN–LOÉVE ANALYSIS OF TURBULENT THERMAL CONVECTION

✍ Scribed by I. HAKAN TARMAN

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
727 KB
Volume
22
Category
Article
ISSN
0271-2091

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✦ Synopsis

The Karhunen-Ldve (K-L) procedure is applied to a turbulent thermal convection database which is generated numerically through integration of the Boussinesq equation in a periodic box with stress-free boundary conditions using a Fourier collocation spectral method. This procedure generates a complete set of mutually orthogonal functions in terms of which the turbulent flow fluctuation field is represented optimally in the mean square sense. A study is performed ranging from the direct projection of the database onto the set, resulting in a considerable data compression, to developing a system of dynamical equations employing the set as a basis for approximating the Boussinesq equation. In the latter a new strategy is proposed and tested for the treatment of the mean component of the turbulent flow. Finally, the direct projection and the dynamical equations are used to study the effects of truncation on the representation of the turbulent flow.

📜 SIMILAR VOLUMES

Energy dynamics in a turbulent channel f
Energy dynamics in a turbulent channel flow using the Karhunen-Loéve approach
✍ G. A. Webber; R. A. Handler; L. Sirovich 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 390 KB

## Abstract The dynamical equations for the energy in a turbulent channel flow have been developed by using the Karhunen‐Loéve modes to represent the velocity field. The energy balance equations show that all the energy in the flow originates from the applied pressure gradient acting on the mean fl