Numerical Experiments to Integrate the Navier-Stokes Equations

Abstract

A series of numerical experiments are described which solve for the time dependent flow field around a circular cylinder accelerated to supersonic speeds. The study is performed using a computer program developed by Scala and Gordon which models the full time-dependent Navier-Stokes equations. Results are presented for Mach two flow past a cylinder at freestream Reynolds numbers of 15.0, 46.8, 157.2, and 704.6, based on cylinder diameter. The numerical results are compared with analytical solutions and experimental measurements and the accuracy of the numerical results is discussed. These comparisons show where the author's numerical solutions of the Navier-Stokes equations fail to give accurate results.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0743182

Entities

People

  • Clarence W. Kitchens Jr.

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Incompressible Flow
  • Measurement
  • Mechanics
  • Navier Stokes Equations
  • Reynolds Number

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flow