Source Panel Method: Airfoil

Flows over a circular cylinder are a bit boring, so here we apply the same code (with a couple minor tweaks) to the flow over an airfoil. In this video, we add two code blocks: the first is for loading and creating the airfoil, and the second is to compute the circulation around an ellipse that encompasses the airfoil. Everything else from the previous video (Source Panel Method: Circular Cylinder) is the same. The results we get in this video motivate the need for the vortex panel method.  ===== WHERE ARE WE GOING? ===== → I will need to go through the derivations for the geometric integrals for the VPM (which are similar to the SPM derivations). → We will then implement the VPM and see some of its limitations. These limitations will motivate the need for a more robust implementation of the VPM. → I will derive the combined SPM/VPM formulation and code it to show how good we can get the results for a pretty simple implementation. → We can finally extend the SPM