The Conically Symmetric Navier Stokes Equations: Numerical Solution for Hypersonic Cone Flow at High Angle of Attack.

Abstract

Solutions were obtained for hypersonic flow over sharp cones at high angle of attack by numerically integrating through use of MacCormack's method the Navier-Stokes equations subject to a conical symmetry assumption. The boundary conditions for the integration were chosen to match experimental conditions. A technique (normal stress damping) was developed to provide damping of the numerical oscillations occurring at shock discontinuities during the integration. The general features which appeared in experiment were shown to appear in the results of the integration, including the proper behavior, in laminar flow, of the viscous layer and the vertical singularity. A thinner calculated lee side viscous layer was attributed to failure of the present technique to model non-conical nose effects. A solution obtained just upstream of boundary layer transition agreed with experiment when conically projected into the turbulent regime. The adequacy of the conical symmetry assumption is therefore indicated for the turbulent regime on conical bodies.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1977
Accession Number
ADA042072

Entities

People

  • David S. Mcrae

Organizations

  • Flight Dynamics Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Flow Fields
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Hydrodynamics
  • Inviscid Flow
  • Navier Stokes Equations
  • Physics Laboratories
  • Pressure Distribution
  • Reynolds Number
  • Turbulent Flow
  • Viscous Flow

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers