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
www.joshtheengi...
► GitHub
github.com/jte...
===== RELEVANT VIDEOS =====
► Panel Methods Playlist
• How To: Run XFoil from...
► Panel Method Geometry
• Panel Method Geometry
► Building More Complex Flows
• Building More Complex ...
► Flow Around an Airfoil
• Flow Around an Airfoil...
► Normal Velocity Geometric Integral [K(ij)]
• Vortex Panel Method: N...
► Tangential Velocity Geometric Integral [L(ij)]
• Vortex Panel Method: T...
► Streamline Geometric Integral VPM [Nx(ij) and Ny(ij)]
• Streamline Geometric I...
► Solving the System of Equations: VPM
• Vortex Panel Method: S...
► Source Panel Method: Airfoil
• Source Panel Method: A...
===== 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
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► Foundations of Aerodynamics, Kuethe and Chow
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► Theory of Wing Sections, Abbott and Doenhoff
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