Panel methods [Aerodynamics #11]

Lecture 11 is on Panel Methods, how we apply the elemental flow concepts to realistic aerodynamic shapes. It requires discretization of our body surface, and applying elemental flows to individual segments on the surface. Specifically, we look at the Source Panel Method and the Vortex Panel Method. By enforcing the "no penetration" boundary condition (normal velocity at the surface is zero), we can find the strength distributions of the sources or vortices to recreate the aerodynamic shape with streamlines.
Free downloadable notes (PDF with white background) can be found at my website: sites.udel.edu...

[@fanBladeOne]

The recaps at the end are a real strengthening tool.

[@prof.vanburen]

I think so too!

[@radusewsk]

These classes are gold! Excellent work! Hope you keep it up, professor! Have a nice one! Cheers

[@prof.vanburen]

Thanks and glad you like them!

[@scarpredator5583]

Can u tell me why I panel is surface instead of j panel???? The host didn't mention

[@TheEngineeringHub]

Amazing video! Thank you Prof. Van Buren!

[@prof.vanburen]

Glad you liked it!

[@barbarahippauf413]

The explanations are perfect. Thanks for that❤

[@prof.vanburen]

Glad you liked it!

[@tangleizhu5612]

Why is the correction at 13:28 is lambda/2 instead of any other numbers

[@tangleizhu5612]

Thx in advance

[@prof.vanburen]

Hey thanks for your comment and sorry for getting to this so late! The semester got away from me. This lambda/2 is the mathematical solution for when i=j when solved out (in a complicated way that I certainly don't understand). So it isn't an arbitrary constant, but the true solution that accounts for our inability to do the solution simply due to dividing by zero. Hope this helps!

[@9wyn]

Are Panel Methods, Boundary Element Methods (BEM), and Boundary Integral Methods (BIM) different names for the same methods?

[@prof.vanburen]

I had to recruit a math friend help because Boundary Element Methods are more general mathematics. As I understand it, Boundary Element Methods are ways to solve Boundary Integral Equations, where Boundary Integral Equations come from changing a PDE on some domain to an integral over that domain's boundary. Panel Methods are a specific subset of Boundary Element Methods applied to inviscid irrotational flow (which leads to the Laplace equation) with particular choices of boundary elements based on elementary flows.

[@9wyn]

Thank you prof Tyler van Buren.🙏🏽

[@scarpredator5583]

Can u tell me why I panel is surface instead of j panel???? The host didn't mention

[@prof.vanburen]

Can you be a bit more specific? Generally, we look at the impact of a j-panel on an i-panel, and we end up adding all the surrounding j's. I'm not sure if this helps, but with more detail I might be a bit more helpful!

[@sashaktakharel7365]

It would be great if you could do some numericals related to panel methods. having difficult time understanding them 😟😟😟

[@prof.vanburen]

Something to think about moving forward! It's not my strength, so probably why I lean away from trying to dive deep into it. I share your struggles

[@scarpredator5583]

Can u tell me why I panel is surface instead of j panel???? The host didn't mention

[@david_porthouse]

Could we please see a suite of panel methods written in Excel VBA that anyone can download and run.

[@prof.vanburen]

I'm all for open-source publicly available tools, I wish I was competent enough to make it happen!

[@david_porthouse]

@@prof.vanburen I could do it all but I just don't have the time. Apart from my day job, I am currently tackling Maxwell's equations. We could do with a two dimensional panel method being applied first of all to an aerofoil generated by a Joukowski transformation to build up confidence and to show how it's done, all in the public domain.

[@lsrinivasan242]

Can the white board be shared as a pdf?

[@prof.vanburen]

Yep! The PDF versions of all the notes for both series can be found here: sites.udel.edu/vanburen/education/ Sometimes it helps to have the PDF to zoom in on small/messy handwriting.

[@scarpredator5583]

Can u tell me why I panel is surface instead of j panel???? The host didn't mention