Panel method for mixed configurations with finite thickness and zero thickness

Panel methods are well-known methods for solving potential fluid flow problems. However, mixed configurations of obstacles with finite thickness and zero thickness have not been solved with these methods. Such configurations arise naturally in delta wings, sailing boats, and even in complete aircraft aerodynamics. In this work, a new numerical approach is proposed for solving 2D mixed configurations of obstacles with finite thickness and zero thickness. The method is based on the Dirichlet and Neumann formulations and is checked by comparison with analytical results.