Linearization of Turbulent Boundary-Layer Equations with an Interactiong Boundary Condition

Abstract

Numerical simulation of the boundary-layer flow by using the boundary-layer equations and an imposed edge condition inevitably encounters a difficulty when the flow tends to separate from the surface. For avoiding this numerical difficulty and ensuring a successful computation over the recirculating region, an interacting boundary-layer edge condition may be employed to substitute that imposed one. This interacting boundary-layer edge condition is based on the pressure distribution imposed on the body surface by its outer inviscid flow and also includes a correction that properly takes the boundary-layer's own effects into account. Consequently, the boundary-layer equations and their interacting edge condition are mutually coupled and the full linearization of both of them is essential to obtain an efficient computational procedure. Therefore this study focuses on the full linearization of the two-dimensional turbulent boundary-layer equations and their interacting edge condition; some strategies associate with it are also discussed.