Vortex Panel Method: Airfoil

The vortex panel method code in this video is an adaptation of the source panel method code from a few videos ago. The only change we've made between the codes is the formulation of the matrix system of equations (including the addition of the Kutta condition equation).

We'll look at a few examples of the code working like you would expect, and compare resulting lift and moment coefficients to the XFOIL results. Then we'll look at a few cases where the code seems to fall apart, which is the motivation for my next two videos, the combined source/vortex panel method.

===== WHERE ARE WE GOING? =====
→ The limitations in this video 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/2020/06/21/vortex-panel-method-airfoil/

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

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

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

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

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

► Normal Velocity Geometric Integral [K(ij)]
https://www.youtube.com/watch?v=5lmIv2CUpoc

► Tangential Velocity Geometric Integral [L(ij)]
https://www.youtube.com/watch?v=IxWJzwIG_gY

► Streamline Geometric Integral VPM [Nx(ij) and Ny(ij)]
https://www.youtube.com/watch?v=TBwBnW87hso

► Solving the System of Equations: VPM
https://www.youtube.com/watch?v=j3ETHFBiYOg

► Source Panel Method: Airfoil
https://www.youtube.com/watch?v=fdNOYdwY9Bw

===== 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

Видео Vortex Panel Method: Airfoil канала JoshTheEngineer