Iterative Solution of the Equations for Steady Viscous Compressible Flow, Based on Similitude.

Abstract

A study was made of an iterative procedure for solving numerically the equations of steady viscous compressible flow. The method, based on a principle of similitude, was tested for the case of laminar two-dimensional hypersonic flow into a compression corner. The first two iterations gave an accurate description of the boundary layer, using less than 1 percent of the computer time required for time-marching integration of the equations for transient two-dimensional flow. However, the equations of the third iteration, in which development of separated flow and recirculation was to have begun, proved unstable. A plausible explanation for the unstable behavior of the third iterate was found. On that basis, alternate equations were developed that may permit stable iteration.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA004806

Entities

People

  • H. N. Yeung
  • J. G. Trulio

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Compressible Flow
  • Compression
  • Computers
  • Equations
  • Flow
  • Hypersonic Flow
  • Iterations
  • Layers
  • Mathematics
  • Two Dimensional
  • Two Dimensional Flow

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers