Sunday, March 9, 2008

Ok, so I really liked that section! It's a cute way of solving 2D problems, though it doesn't seem like it could generalize to 3D. It seems like a lot of it is kind of ad-hoc, in that I still have no idea how to properly pick a function which would give me the solution for any particular geometry. It's kind of like method of images in that respect, it takes a bit of intuition, which I guess I don't have yet. Is there some way of starting with a surface, and then going to the function? I guess setting the appropriate derivatives of the function to zero at the surface (representing zero velocity at the boundary). I don't think methods for actually coming up with what function to use were discussed in the text, and some more talk about that would be nice.

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