Steady incompressible flow past an aerofoil with a cavity in its upper surface is considered. The aerofoil and cavity shape is constructed to ensure that the highReynolds-number asymptotics of the flow is described by the Batchelor model.

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An efficient method of constructing inviscid Batchelor-model flows is developed. The method is based on an analytic continuation of the potential part of the flow into the closed-streamline vortex region. Numerical solutions are presented for Batchelor-model flows past airfoils with cavities. With the airfoil and dividing streamline shape, the eddy vorticity, and the jump in the Bernoulli constant across the eddy boundary given, the program calculates the corresponding cavity shape and the entire flow.

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