Direct Computation of Boundary-Layer Stability Characteristics

Abstract

A method is presented for the direct and efficient computation of certain characteristics of differential eigenvalue problems. The method is based on the differentiation of the governing equations with respect to one or more of the parameters of the associated dispersion relation. The new problem (or problems), coupled with the original problem, is solved to directly compute a certain required characteristic (e.g., the maximum disturbance growth rate). The method is applied to two problems in boundary-layer stability; the viscous instability of incompressible flow over a flat plate with suction and the inviscid instability of compressible flow over a flat plate with different wall and flow conditions. The new method has potential applications in both computational physics and engineering.