Assessment of the kappa-epsilon Turbulence Model for Compressible Flows using Direct Simulation Data

Abstract

We evaluate the kappa-epsilon turbulence model using direct numerical simulation (DNS) data of a Mach 4 boundary layer. We find that the low Reynolds number damping functions for the Reynolds stress must be corrected by the density ratio to match the DNS data. We present the budget of the kappa equation and assess the modeling of the various source terms. The models for all the source terms, except for the production and dilatational dissipation terms, are found to be adequate. Finally, we present the solenoidal dissipation rate equation and compute its budget using the boundary layer data. We compare this equation with the dissipation rate equation in an incompressible flow to show the equivalence between the two equations. This is the basis for modeling the solenoidal dissipation equation. However, an additional term in the equation due to variation of fluid viscosity needs to be modeled.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA631639

Entities

People

  • Graham V. Candler
  • Krishnendu Sinha
  • M. Pino Martı́n

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Compressible Flow
  • Computational Fluid Dynamics
  • Dissipation
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • High Performance Computing
  • Incompressible Flow
  • Information Operations
  • Layers
  • Mechanics
  • Simulations
  • Turbulence

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Fluid Mechanics and Fluid Dynamics.