Accession Number : ADP001930

Title :   A Direct Method for the Solution of Unsteady Two-Dimensional Incompressible Navier-Stokes Equation,

Corporate Author : CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Ghia,K. N. ; Osswald,G. A. ; Ghia,U.

Report Date : 1983

Pagination or Media Count : 16

Abstract : The unsteady imcompressible Navier-Stokes equations are formulated in terms of vorticity and stream function in generalized curvilinear orthogonal coordinates to facilitate analysis of flow configurations with general geometries. The numerical method developed solves the conservative form of the transport equation using the alternating-direction implicit method, whereas the stream-function equation is solved by direct block Gaussian elimination. The method is applied to a model problem of flow over a back-step in a doubly infinite channel, using clustered conformal coordinates. One-dimensional stretching functions, dependent on the Reynolds number and the asymptotic behavior of the flow, are used to provide suitable grid distribution in the separation and reattachment regions, as well as in the inflow and outflow regions.

Descriptors :   *Unsteady flow, Incompressible flow, Two dimensional flow, Navier stokes equations, Transport properties, Flow fields, Vortices, Finite difference theory, Steady state, Experimental data

Distribution Statement : APPROVED FOR PUBLIC RELEASE