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Abstract
Designers often need to find the shape of body that achieves specified design objectives. The classic problem of this type is to find the airfoil shape that leads to the desired distribution of surface pressure. This article describes a method for solving such problems that is inexpensive, robust, and a simple extension to existing computational fluid dynamics methods; it permits the body shape to be calculated directly, by including the coordinates of the body as dependent variables in the problem formulation. The method described is applicable to many problems in thermofluids, but it is demonstrated here only for heat conduction problems.