On Explicit Algebraic Stress Models for Complex Turbulent Flows

Abstract

Explicit algebraic stress models that are valid for three-dimensional turbulent flows in noninertial frames are systematically derived from a hierarchy of second-order closure models. This represents a generalization of the model derived by Pope (J. Fluid Mech. 72, 331 (1975)) who based his analysis on the Launder, Reece and Rodi model restricted to two-dimensional turbulent flows in an inertial frame. The relationship between the new models and traditional algebraic stress models -- as well as anistropic eddy viscosity models -- is theoretically established. The need for regularization is demonstrated in an effort to explain why traditional algebraic stress models have failed in complex flows. It is also shown that these explicit algebraic stress models can shed new light on what second-order closure models predict for the equilibrium states of homogeneous turbulent flows and can serve as a useful alternative in practical computations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1992
Accession Number
ADA258993

Entities

People

  • C. G. Speziale
  • T. B. Gatski

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Channel Flow
  • Computational Fluid Dynamics
  • Computers
  • Engineering
  • Flow
  • Fluid Flow
  • Geometry
  • Hierarchies
  • Large Eddy Simulation
  • Mechanical Properties
  • Mechanics
  • Stress Strain Relations
  • Three Dimensional
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.