A REFLECTION METHOD FOR THE CALCULATION OF THE SUBSONIC FLOW REGION ASSOCIATED WITH SMALL ANGLE OF ATTACK BLUNTED AXISYMMETRIC BODIES FOR M INFINITY >> 1,

Abstract

Inviscid flow about a blunted axisymmetric nose at a small angle of attack is treated by the simplified reflection principle of Garabedian, in order to transform the governing equations to a symmetric-hyperbolic system. A stable finite difference scheme is given (and truncation errors presented) whereby a Cauchy problem in the transformed space is derived for the inverse problem considered. In the transformed, higher dimensional space, body and shock are given as constant valued coordinates, which considerably simplifies subsequent numerical and theoretical considerations. A section on Friedrichs' symmetric positive operators is included to illustrate the application of the method to the problem considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 30, 1963
Accession Number
AD0415409

Entities

People

  • C. R. Ortloff

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Cauchy Problem
  • Equations
  • Flow
  • Inverse Problems
  • Inviscid Flow
  • Mathematics
  • Reflection
  • Subsonic Flow
  • Truncation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Space