A BOUNDARY ELEMENT APPROACH TO THE STUDY OF 2D SUBSONIC LIFTING FLOW PAST AIRFOILS WITH SHARP TRAILING EDGE

摘要

In this paper, using the Imai-Lamla-Iacob method based on the asymptotic expansion of the complex velocity potential with respect to Chaplygin's number M_0, we study the subsonic steady 2d lifting flow around airfoils with sharp trailing edge. Reducing the investigation of the compressible flow to a sequence of boundary value problems for Laplace's equation, we use the boundary element method in order to calculate the distribution of fluid speed and pressure coefficients on the obstacle. A comparison between the results obtained numerically and analytically for the circular obstacle shows a very good agreement. Numerical results are also obtained for a Karman-Trefftz airfoil.