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 100 time steps.

After 200 time steps.

After 300 time steps.

After 400 time steps.

After 500 time steps.

After 750 time steps.

After 1000 time steps.

After 1500 time steps.

After 2000 time steps.

After 3000 time steps.

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