https://chrisboligprojects.pythonanywhere.com/fdm
FDM matrices update the mesh based on user applied energy and initial conditions. Before every animation loop, a color map is applied based on high and low values. Starts out with Dirichlet boundary conditions (completely reflective, like a string tied to a wall) or you can choose the Nuemann conditions where the mesh is free to move
It is nice.
And it was fun to disturb the symmetry with applying just a few hits. I waited for quite some time to see it calm down, but it appears the energy is not lost, so boiling continues forever…
A small glitch: when the page is reloaded, the checkboxes keep their latest state, but the simulation is reset. So it may happen that [animation] is checked, but there is no animation, as well as [wire frame] is unchecked, but it is actually drawn.
hmm, yes that is definitely a glitch…
I tried to keep as true to the math as I could. I think each “hit” or disturbance we need their own (e^-t) attached to it, where t is the “time” the hit occurred. I think that would make the amplitudes decay. I’m sure it’s doable, and probably worth while. Hopefully I’ll add that soon!
(also, I think it would be so neat if you could drag and deform the mesh, and then let it go…)
Thanks for looking at it!
Your simulation reminds me of this (you can click on the water surface or drag the ball to cause waves): https://madebyevan.com/webgl-water/
