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Applied Mathematics Colloquium
Friday, October 31, 11:30 am
Cullimore Lecture Hall II
New
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Lattice Boltzmann Methods for Single and Two Phase Flows
John B. McLaughlin
Department of Chemical & Biomolecular Engineering
Abstract
The lattice Boltzmann method (LBM) originated from the lattice gas automata
(LGA) methods that were developed in the 1980’s. The LGA methods required
averaging to obtain results for velocity fields which proved to be a serious
disadvantage. The LBM avoids this problem by working directly with a set of
probability distributions. This talk will provide some background on the LBM
with an emphasis on applications to fluid mechanics problems. There are
actually many different LBM’s and the talk will
include comparisons between some of the more popular versions. The second part
of the talk will focus on a formulation due to Inamuro
et al. that has advantages in stability, the ability to handle two-phase flows
with large density ratios, and flexibility in matching physical parameters.
Some single phase results for flow in a model of an office cubicle with
particle tracking and two phase flow results for a drop impacting a flat
surface will be shown.