Vorticity Transport Analysis of Turbulent Flows

Author:

Gorski J. J.1,Bernard P. S.2

Affiliation:

1. Carderock Division, Naval Surface Warfare Center, Bethesda, MD 20084-5000

2. Department of Mechanical Engineering, University of Maryland, College Park, MD 20742

Abstract

Turbulence closure for the Reynolds averaged Navier-Stokes equations based on vorticity transport theory is investigated. General expressions for the vorticity transport correlation terms in arbitrary two-dimensional mean flows are derived. Direct numerical simulation data for flow in a channel is used to evaluate the modeled terms and set unknown scales. Results are presented for a channel, flat plate boundary layer, and flow over a hill. The computed mean flow and kinetic energy compares well with numerical and physical experiments. The vorticity transport model appears to perform better than conventional Boussinesq eddy viscosity Reynolds stress models near the separated flow region on the leeward side of the hill.

Publisher

ASME International

Subject

Mechanical Engineering

Reference25 articles.

1. Ainane, S., 1989, “A Numerical Investigation of Turbulent Channel Flow Using a Second Order Turbulence Closure,” Ph.D. dissertation, University of Maryland, College Park, MD.

2. Baskaran V. , SmitsA. J., and JoubertP. N., 1987, “A Turbulent Flow Over a Curved Hill Part 1. Growth of an Internal Boundary Layer,” Journal of Fluid Mechanics, Vol. 182, pp. 47–83.

3. Bernard P. S. , 1990a, “Turbulent Vorticity Transport in Three Dimensions,” Theoretical and Computational Fluid Dynamics, Vol. 2, pp. 165–183.

4. Bernard P. S. , 1990b, “Turbulence Effects in the Edgetone Flow Field,” Journal of Fluids and Structures, Vol. 4, pp. 449–470.

5. Bernard P. S. , and HandlerR. A., 1990, “Reynolds Stress and the Physics of Turbulent Momentum Transport,” Journal of Fluid Mechanics, Vol. 220, pp. 99–124.

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3. Modeling of the turbulent enstrophy equation;International Journal of Engineering Science;1996-05

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