Generating parametrizations of wing geometries using partial differential equations

A method is presented for generating a parametric surface given two-dimensional section data. The application on which this paper concentrates is that of producing wing surfaces through a set of airfoil sections. It is an extension of a new method for the efficient parametrization of complex three-dimensional shapes called the PDE method. The method views surface generation as a boundary-value problem and produces surfaces as the solutions to elliptic partial differential equations. This is an extension of earlier work which was concerned with its application to the parametrization of generic aircraft geometries.