Accession Number : ADA004806

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

Descriptive Note : Final rept. 1 Jun 72-1 Jun 74,

Corporate Author : APPLIED THEORY INC LOS ANGELES CALIF

Personal Author(s) : Trulio,J. G. ; Yeung,H. N.

Report Date : NOV 1974

Pagination or Media Count : 48

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.

Descriptors :   *Compressible flow, *Navier Stokes equations, Viscous flow, Iterations, Finite differnce theory, Partial differential equations, Boundary layer flow, Computer applications, Computations

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE