I am sure the problem is interesting in itself. However, as has already been pointed out: In reality you need to use FEM (or BEM, whatever works best) if you want to design something well. The problem is simply too complicated to be solved any other way.
And forget about writing your own software for a problem like this. I don't think there are any symmetries in this problem which means it is a full 3D problem. The meshing is very messy (and for something like this you probably should use adaptive meshing).
Buy FEMLAB or something similar...
And forget about writing your own software for a problem like this. I don't think there are any symmetries in this problem which means it is a full 3D problem. The meshing is very messy (and for something like this you probably should use adaptive meshing).
Buy FEMLAB or something similar...