Spectral solutions for three-dimensional triple-deck flow over surface topography

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Abstract
The effect of surface topography on an otherwise two-dimensional boundary-layer flow is investigated. The flow is assumed to be steady, laminar and incompressible, and is described by triple-deck theory. The basic problem reduces to the solution of a form of the nonlinear three-dimensional boundary-layer equations, together with an interaction condition. The solutions are obtained by a spectral method, with the computations carried out iteratively in Fourier-transform space. Numerical results are presented for several cases including three-dimensional separation. Comparison is made with the predictions of linearized theory. The decay corridor observed by Smith is confirmed for one localized configuration, but not for another having a broader height distribution.

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