Mathematics Colloquia and Seminars
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Moving Overset Grid Methods for Interface Driven FlowsColloquium
|Speaker: ||Dr. Petri Fast, Center for Applied Scientific Computing / Lawrence Livermore National Laboratory|
|Location: ||693 Kerr|
|Start time: ||Wed, Apr 4 2001, 2:10PM|
We present a novel approach to modeling the dynamics of free boundaries
in a flow: A thin, body-fitted grid conforms to the evolving interface,
while most of the domain is covered with a fixed, Cartesian mesh. At each
time step, these component grids are used to generate an overset mesh using
the Overture framework.
We'll consider the evolution of an air bubble displacing a non-Newtonian
fluid in the prototypical thin film device, the Hele-Shaw cell. The dynamics
is governed by a generalization of Darcy's law in the bulk fluid, and by the
Laplace-Young condition at the fluid/gas interface. We'll discuss the
numerical simulation of this problem, and also an asymptotic analysis of the
flow near the meniscus.
Time permitting, I'll discuss ongoing work on modeling the recent
experiments of Zhang, Childress, Libchaber and Shelley on a 1D flapping flag
in a two dimensional wind.
(This work was performed under the auspices of the U.S. Department of Energy
by University of California Lawrence Livermore National Laboratory under
contract No. W-7405-Eng-48.)
(Refreshment is served in 693 Kerr at 1:45pm)