Simulation of Ideal External and Internal Flows with Arbitrary Boundaries Using Schwarz Christoffel Transformation

The flow field, velocity and pressure coefficient distribution of some ۲-D ideal flows are presented. Conformal mapping is used to simulate two-dimensional ideal flow for a variety of complex internal and external configurations, based on the numerical integration of Schwarz-Christoffel transformation. The advantages of this method are simplicity and high accuracy. The method presented in this paper has been applied to flow problems for which established experimental results are available in the literature. The close agreement between the predictions of simulation program and experimental results shows that the present method is applicable to any ۲-D ideal flow regardless of the system of coordinates.

Keywords:

Ideal Flow , Conformal mapping , Schwarz , Christoffel Transformation