Try launching the wave from someplace off center so the symmetry is broken. Then the chaotic nature of the stadium will be apparent. Especially compared with the regular shapes
Thanks, glad you liked it. Diffusion is a bit of a tough nut for me to crack. Personally, I don't know how I would go about such a thing but if you have an idea I'm all ears.
@@Zenzicubic if you add a term with a first derivative in time you can represent difussion since It arises from forces that are proporcional to velocity (friction forces) or transport phenomena such as Heat, substance concentración or density of a fluid.
Funnily enough I wrote something similar to what you describe not too long ago. It simulates the double slit experiment with Dirichlet boundary conditions and I had to add a bit of damping to keep it from going crazy. I have no clue why I blanked on that. Thanks for the tip though! :))
Glad you liked it! I imagine that would be quite interesting for some of the domains. Nils Berglund (whose wave simulations inspired this project) made a wave in a rotating ellipse: th-cam.com/video/stpA4y-pS-g/w-d-xo.html I've never tried it because I'm a little worried it could cause numerical instabilities with my very rudimentary solver.
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Try launching the wave from someplace off center so the symmetry is broken. Then the chaotic nature of the stadium will be apparent. Especially compared with the regular shapes
I did consider doing that, but the part of me that loves symmetries wouldn't let me break them.
Spectacular simulation.
Thanks for sharing.
Now try doing one with difussion also! :)
Thanks, glad you liked it. Diffusion is a bit of a tough nut for me to crack. Personally, I don't know how I would go about such a thing but if you have an idea I'm all ears.
@@Zenzicubic if you add a term with a first derivative in time you can represent difussion since It arises from forces that are proporcional to velocity (friction forces) or transport phenomena such as Heat, substance concentración or density of a fluid.
Funnily enough I wrote something similar to what you describe not too long ago. It simulates the double slit experiment with Dirichlet boundary conditions and I had to add a bit of damping to keep it from going crazy. I have no clue why I blanked on that. Thanks for the tip though! :))
Awesome. What would happen if the outer boundary was changing, either in scale or by rotation?
Glad you liked it! I imagine that would be quite interesting for some of the domains. Nils Berglund (whose wave simulations inspired this project) made a wave in a rotating ellipse: th-cam.com/video/stpA4y-pS-g/w-d-xo.html
I've never tried it because I'm a little worried it could cause numerical instabilities with my very rudimentary solver.