Open Access
1995 Computation of equilibrium foam structures using the surface evolver
Kenneth Brakke, Robert Phelan, Denis Weaire
Experiment. Math. 4(3): 181-192 (1995).


The Surface Evolver has been used to minimise the surface area of various ordered structures for monodisperse foam. Additional features have enabled its application to foams of arbitrary liquid fraction. Early results for the case of dry foam (negligible liquid fraction) produced a structure having lower surface area, or energy, than Kelvin's 1887 minimal tetrakaidecahedron. The calculations reported here show that this remains the case when the liquid fraction is finite, up to about 11\%, at which point an f.c.c. arrangement of cells becomes preferable.


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Kenneth Brakke. Robert Phelan. Denis Weaire. "Computation of equilibrium foam structures using the surface evolver." Experiment. Math. 4 (3) 181 - 192, 1995.


Published: 1995
First available in Project Euclid: 3 September 2003

zbMATH: 0861.76014
MathSciNet: MR1387476

Primary: 49Q10
Secondary: 49Q20 , 53A10 , 53A15

Rights: Copyright © 1995 A K Peters, Ltd.

Vol.4 • No. 3 • 1995
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