A Hybrid Marching Integration Procedure for the Prediction of Two-Dimensional Supersonic Boundary Layers

Abstract

An economical, “parabolic/hyperbolic hybrid,” numerical prediction procedure, employing marching integration, is presented for the computation of supersonic flows of the boundary layer class in which embedded pressure waves are present. The hyperbolic component is based on the method of characteristics, while the computational procedure of Patankar and Spalding constitutes the parabolic component. The method is evaluated against analytic solutions for inviscid flows and against experiment for laminar and turbulent near-wall flows. Calculations for laminar and turbulent free shear flows are also presented. The method performs well when the viscous/wave interaction is not strong enough to induce significant “upstream influence.”