Accession Number : ADA193982

Title :   Turbulence Modeling in Non-Inertial Frames of Reference,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Speziale, Charles G

PDF Url : ADA193982

Report Date : Mar 1988

Pagination or Media Count : 52

Abstract : The effect of an arbitrary change of frame on the structure of turbulence models is examined from a fundamental theoretical standpoint. It is proven, as a rigorous consequence of the Navier Stokes equations, that turbulence models must be form invariant under arbitrary translational accelerations of the reference frame and should only be affected by rotations through the intrinsic mean vorticity. A direct application of this invariance property along with the Taylor-Proudman Theorem, material frame indifference in the limit of two dimensional turbulence and Rapid Distortion Theory is shown to yield powerful constraints on the allowable form of turbulence models. Most of the commonly used turbulence models are demonstrated to be in serious violation of these constraints and consequently are inconsistent with the Navier Stokes equations in noninertial frames. Alternative models with improved noninertial properties are developed and some simple applications to rotating turbulent flows are considered. Keywords: Turbulence modeling; Rotating flows; Computational fluid mechanics.

Descriptors :   *TURBULENT FLOW, COMPUTATIONS, DISTORTION, FLOW, FLUID MECHANICS, INVARIANCE, MATHEMATICAL MODELS, NAVIER STOKES EQUATIONS, ROTATION, THEORY, TURBULENCE, TWO DIMENSIONAL, ACCELERATION, VORTICES, INCOMPRESSIBLE FLOW, VISCOUS FLOW, THEORY

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE