Method for solving the equations describing the triple-deck interaction of a three-dimensional boundary layer with an outer inviscid transonic flow

An approach is developed for solving boundary value problems describing three-dimensional steady flows in the region where a laminar boundary layer interacts with an outer inviscid transonic flow. By applying the method, the flow over a roughness element is computed within the classical triple-deck theory, the asymptotic height of the roughness element corresponding to nonseparated flow is determined, and separated flow patterns are constructed.