Volume preserving mean curvature flow in three space dimensions

Uwe F. Mayer

System:Hewlett Packard HP UX 9000/715
Computation time:About 8 hours, 30 minutes
Scale:Main diameter = 5, neck diameter =1, length = 5+2pi, time step = 0.01
Vertices:Initially 498, finally 378
Facets:Initially 992, finally 752
Facet threshold:Eliminated facet if area is less than 1/5 of average of all facets
Comment:The facets all vanished at the middle section where the neck used to be.

The initial configuration.
after 0000 steps

After 100 time steps.
after 0100 steps

After 200 time steps.
after 0200 steps

After 300 time steps.
after 0300 steps

After 400 time steps.
after 0400 steps

After 500 time steps.
after 0500 steps

After 750 time steps.
after 0750 steps

After 1000 time steps.
after 1000 steps

After 1500 time steps.
after 1500 steps

After 2000 time steps.
after 2000 steps

After 3000 time steps.
after 3000 steps

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mayer@math.utah.edu
First posted: before 01/29/1997
Last updated: 11/19/2008