Turbulence Modeling in Non-Inertial Frames of Reference,

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA193982

Entities

People

  • Charles G. Speziale

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Energy Transfer
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Mathematical Analysis
  • Mechanical Properties
  • Mechanics
  • Navier Stokes Equations
  • Stratified Fluids
  • Three Dimensional
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.