Graduate Fellowship in Hypersonics

Abstract

Research was performed to develop innovative means of computing flow over sustainer projectiles at high speed. A code was developed using Newton iteration applied to the steady Navier-Stokes equations. Roe's upwind flux difference splitting was used for spatial discretization. Second order accurate values of the Riemann variables were obtained by Spekreijses interpolation procedure with Van Albada's limiter used to reduce spurious oscillations in the results. THe Jacobian Derivatives and the code necessary to compute the Jacobian elements were generated by use of the symbolic manipulation code MACSYMA. The Boeing package RSLIB was used to invert the Jacobian matrix. Computational results were obtained for flat plates, flat plate-ramp, and ogive-tangent- cylinder configurations at Mach numbers ranging from 2 to 14.1. These cases contained shock on shock interactions., viscous layer separations, and turbulent boundary layer transitions. Covergence was obtained in 15 to 200+ iterations. Results agreed well with experiment or other computation and demonstrated that Newton iteration can produce results for complex high speed flows with shock waves.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1990
Accession Number
ADA231263

Entities

People

  • D. S. Mcrae
  • Paul D. Orkwis

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Combustion Products
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Iterations
  • Mach Number
  • Military Research
  • Navier Stokes Equations
  • North Carolina
  • Pressure Distribution
  • Shock Waves

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Computational Fluid Dynamics (CFD)
  • Linear Algebra

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers