Programs

Panel Method of Hess and Smith - Computational Aerodynamics

This course focuses on the Panel Method, a numerical technique used in theoretical and computational aerodynamics. It specifically details the application of the Hess and Smith method for analyzing fluid flow around airfoils. The method breaks down the airfoil surface into smaller segments (panels) to approximate the complex flow behavior. The core of the method involves representing the airfoil using distributions of sources and vortices on these panels. By applying principles of fluid dynamics, such as flow tangency and the Kutta condition, a system of linear equations is formulated. Solving this system allows for the calculation of flow velocities and other aerodynamic properties around the airfoil. The course delves into the mathematical formulation behind these concepts, including the velocity potentials induced by vortex flows and vortex sheets, and how these combine with free stream conditions. It explains the derivation of the velocity components and the construction of the linear system of equations, ultimately leading to the computation of tangential velocities.