A Comparison Of Velocity And Potential BasedBoundary Element Methods For The Analysis OfSteady 2D Flow Around Foils

The potential based BEM Morino variant is compared with a modified version of the velocity based method proposed by Hess, on the calculation of potential flow around 2-dimensional foils. In the Morino method, several numerical implementations of the Kutta condition are investigated. The test cases for the comparison of the two methods are analytical foils obtained by conformal mapping techniques: Joukowski and Karman-Trefftz. Surface solutions are presented and the main drawbacks and advantages for each formulation are discussed. A verification study performed for the two test cases reveals the existence of difficulties for the Morino method in foils with a cusped trailing edge.