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/VPM formulation to multiple separate airfoil elements. This will be the last video in the series.

===== CODE =====
► My website
http://www.joshtheengineer.com/2020/0...

► GitHub
https://github.com/jte0419/Panel_Methods

===== RELEVANT VIDEOS =====
► Panel Methods Playlist
   • How To: Run XFoil from MATLAB  

► Panel Method Geometry
   • Panel Method Geometry  

► Building More Complex Flows
   • Building More Complex Potential Flows...  

► Flow Around an Airfoil
   • Flow Around an Airfoil: Panel Methods  

► Normal Velocity Geometric Integral [I(ij)]
   • Source Panel Method: Normal Velocity ...  

► Tangential Velocity Geometric Integral [J(ij)]
   • Source Panel Method: Tangential Veloc...  

► Streamline Geometric Integral SPM [Mx(ij) and My(ij)]
   • Streamline Geometric Integral SPM [Mx...  

► Solving the System of Equations
   • Source Panel Method: System of Equations  

► Source Panel Method: Circular Cylinder
   • Source Panel Method: Circular Cylinder  

===== NOTES =====
→ I'll add notes here if I need to.

===== ERRORS =====
→ If you see an error in the video, please let me know and I will include it here.

===== REFERENCES =====
Note: the links are Amazon affiliate links. If you do happen to want to buy the book and use the link below, it helps me out a little.
► Fundamentals of Aerodynamics, Anderson
https://amzn.to/3emVuXU
► Foundations of Aerodynamics, Kuethe and Chow
https://amzn.to/2yMg1Vi
► Theory of Wing Sections, Abbott and Doenhoff
https://amzn.to/2wvZyUt