JoshTheEngineer | Source Panel Method: Airfoil @JoshTheEngineer | Uploaded March 2020 | Updated October 2024, 2 hours ago.
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
joshtheengineer.com/2020/03/05/source-panel-method-airfoil

► GitHub
github.com/jte0419/Panel_Methods

===== RELEVANT VIDEOS =====
► Panel Methods Playlist
youtube.com/watch?v=bWjo3N9COz4&list=PLxT-itJ3HGuUDVMuWKBxyoY8Dm9O9qstP

► Panel Method Geometry
youtube.com/watch?v=kIqxbd937PI

► Building More Complex Flows
youtube.com/watch?v=EKzbwJvKcmw

► Flow Around an Airfoil
youtube.com/watch?v=cLdv1UfX1g8

► Normal Velocity Geometric Integral [I(ij)]
youtube.com/watch?v=76vPudNET6U

► Tangential Velocity Geometric Integral [J(ij)]
youtube.com/watch?v=JRHnOsueic8

► Streamline Geometric Integral SPM [Mx(ij) and My(ij)]
youtube.com/watch?v=BnPZjGCatcg

► Solving the System of Equations
youtube.com/watch?v=ep7vPzGYsbw

► Source Panel Method: Circular Cylinder
youtube.com/watch?v=zIrDfEz-5mc

===== 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
amzn.to/3emVuXU
► Foundations of Aerodynamics, Kuethe and Chow
amzn.to/2yMg1Vi
► Theory of Wing Sections, Abbott and Doenhoff
amzn.to/2wvZyUt