Applied Mathematics Colloquium

THE DEPARTMENT OF MATHEMATICAL SCIENCES AND
THE CENTER FOR APPLIED MATHEMATICS AND STATISTICS,
NEW JERSEY INSTITUTE OF TECHNOLOGY

11:30 AM
Friday, February 14, 2003

Cullimore Hall Lecture Room II
New Jersey Institute of Technology





Mark S. Korlie

Department of Mathematics
Montclair State University

" 3-D Particle Modeling of Gas Bubbles in a Liquid "

We use a molecular aggregate approach and classical molecular dynamics type formulas to simulate the motion of gas bubbles within a liquid. For application, the liquid is taken to be water while the gas is taken to be carbon dioxide. The resulting dynamical equations are large systems of second-order, nonlinear, ordinary differential equations which are solved by a time-stepping numerical method. The rise of the bubbles and the motion of the water near the bubbles are described and discussed.