Solution of the Three-Dimensional Navier-Stokes Equations for a Turbulent Horseshoe Vortex Flow.

Abstract

The problem of three dimensional turbulent horseshoe vortex/corner flow is investigated numerically. Solutions of the compressible Reynolds averaged Navier Stokes equations are computed using a linearized block implicit scheme with Douglas Gunn splitting. Solutions are computed using both two equation (k-epsilon) and algebraic mixing length turbulence models, with grid distributions which provide resolution of the viscous sublayer regions. These computed results are displayed graphically and compared with recent experimental measurements. There is good qualitative agreement between computed and measured mean flow velocities, especially near the saddle point separation line. The computed corner flow has a multiple vortex structure. There are quantitative differences in details of the weak corner flows downstream of the leading edge, which may be attributable to the turbulence model used and/or numerical error. Convergence required approximately 150 iterations using a 60x50x40 grid (120,000 points) and required about 2.5 hours of CRAY-XMP run time. Keywords: Three Dimensional Flow; Navier Stokes Equations; Turbulent Flow; Horseshoe Vortex Flow; Implicit Algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA176370

Entities

People

  • H. Mcdonald
  • R. C. Buggelin
  • W. R. Brilery

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Euler Equations
  • Flow Fields
  • Flow Visualization
  • Fluid Dynamics
  • Fluid Flow
  • Mechanical Properties
  • Reynolds Number
  • Secondary Flow
  • Three Dimensional Flow
  • Turbulence
  • Turbulent Flow
  • Turbulent Mixing
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

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