Volume preserving mean curvature flow in three space dimensions

Uwe F. Mayer

System:486DX4-100, Linux 1.2.13
Computation time:About 5 hours
Scale:Edge length = 1, time step = 0.01
Vertices:Initially 514, finally 406
Facets:Initially 1024, finally 808
Facet threshold:Eliminated facet if area is less than 1/5 of average of all facets
Comment:The facets all vanished at the tips of the pyramid.


The initial configuration.
after 0 steps		 After 50 time steps.

after 50 steps

After 100 time steps.
after 100 steps
After 150 time steps.
after 150 steps

After 200 time steps.
after 200 steps
After 250 time steps.
after 250 steps

After 300 time steps.
after 300 steps
After 350 time steps.
after 350 steps

After 400 time steps.
after 400 steps
After 450 time steps.
after 450 steps

After 500 time steps.
after 500 steps
The interface has for all
practical purposes reached
reached its limit configuration:
a sphere.

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mayer@math.utah.edu
Last updated: 01/29/97