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Applied
Math Seminar
Spring Quarter 2001
3:15 - 4:15 p.m.
Sloan Mathematics Corner
Building 380, Room 380-C
Friday, May 4, 2001
3:15 p.m.
Bldg. 380, Room 380-C
Roland Glowinski
University of Houston
On the direct numerical simulation of particulate flow
Abstract:
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The main goal of this lecture is
to discuss a methodology well suited to the direct numerical simulation
of the flow of mixtures of rigid solid particles and incompressible viscous
fluids,possibly non-Newtonian.The two key ingredients of the methodology
under consideration are:
(i) A Lagrange mutiplier based domain embedding method allowing flow computations
to take place on a fixed region containing the fluid and the particles,the
Lagrange multipliers being used to match-in a weak sense- fluid velocity
and the rigid body motion velocity of the particles;the matching takes
place in the time varying space region occupied by the particles.
(ii) A time discretization by operator splitting in order to treat separately
the various physical and numerical operators occuring in the approximate
model. Applications to the direct numerical simulation of particulate
flows,involving more than 1,000 particles in 3-D and 10,000 in 2-D,will
be presented. These include sedimentation and fluidization phenomena and
neutrally buoyant flows in channels.
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