DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Michael Gratton, Metron, Inc.

**Title: ***
Modeling Foams
*

**Abstract:**
Foams are important two-phase materials with wide application. Study of
foams has focused on quasi-static foams, where surfactants delay bubble
rupture for hours. Newer foamed materials, such as metals, lack surfactants.
The dynamics of clean foams cannot then be adequately described by existing
models. In this talk, we explore a boundary integral approach to
investigate the dynamics of clean, two-dimensional foams. This approach
solves for the interface dynamics directly, but rapid variation of
the integrand occurs when liquid-gas interfaces are in close proximity.
We develop a simple and robust numerical approach to evaluate these
integrals on fixed coarse grids. For foams with small liquid fractions, we
observe many known features of foam dynamics: node motion, lamellar bending,
lamellar drainage, and topological transitions. We also learn the relative
timescales on which these processes occur.

**Time:** Friday, April 20, 2012, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491