Time accurate internal flow solutions of the thin shear layer equations

Abstract

An implicit factored algorithm for the solution of the thin shear layer approximation of the Navier-Stokes equations is described and explicit boundary conditions are developed for internal flow problems. This scheme is compared to theoretical predictions and experimental data, as well as to other more thoroughly tested numerical schemes. The examples presented demonstrate the ability of the factored algorithm to accurately predict internal flow fields and provide insight into the difficulties associated with the numerical simulation of internal flow fields.