A modern look at conformal mapping including multiply connected regions

Abstract

With the advent of large-scale digital computers, numerical solution of the transonic flow equations in two dimensions has proven feasible. In such calculations it is convenient, and often crucial, to map the region of interest conformally onto a simple domain so that a simple finite difference system can be employed. This paper updates a well-known airfoil conformal mapping method (Theodorsen and Garrick) with modern techniques, greatly enhancing the mapping speed and accuracy while simplifying the analysis. Also, a powerful new class of conformal transformations is introduced, and applied to a two-element airfoil. © 1976 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.