Transonic flow solutions using a composite velocity procedure for potential, Euler and RNS equations

Abstract

Solutions for transonic viscous and inviscid flows using a composite velocity procedure are presented. The velocity components of the compressible flow equations are written in terms of a multiplicative composite consisting of a viscous or rotational velocity and an inviscid, irrotational, potential-like function. This provides for an efficient solution procedure that is locally representative of both asymptoptic inviscid and boundary layer theories. A modified quasi-conservative form of the axial momentum equation that is required to obtain rotational solutions in the inviscid region is presented and a combined quasi-conservation/non-conservation form is applied for evaluation of the reduced Navier-Stokes (RNS), Euler and potential equations. A variety of results are presented and the effects of the approximation on entropy production, shock capturing and viscous interaction are discussed.