AN INTEGRAL EQUATION METHOD OF NUMERICAL CONFORMAL MAPPING ONTO PARALLEL, CIRCULAR AND RADIAL SLIT DOMAINS

摘要

We recently proposed a method for numerical conformal mappings of multiply connected open domains onto parallel, circular, and radial slit domains. These three types of standard domains are important in two dimensional potential flow analysis. Our method uses the charge simulation method as the potential problem solver. The charge simulation method offers highly accurate approximation for the smooth, and round boundary conditions, but has some difficulties in application to exterior problems of narrow area and problems with concave corners. In this paper, we propose an integral equation method for numerical conformal mapping onto the slit domains, which is expected to be effective to overcome the difficulties of the charge simulation method with some clever techniques.