Thursday, March 20, 2014 3:30 pm
-
3:30 pm
EDT (GMT -04:00)
MC 5158
Speaker
Anna-Karin Tornberg
Royal
Institute
of
Technology
(KTH)
Stockholm,
Sweden
Title
Accelerated boundary integral simulations of particulate and two-phase flows
Abstract
In
micro-fluidic
applications
where
the
scales
are
small
and
viscous
effects
dominant,
the
Stokes
equations
are
often
applicable.
The
suspension
dynamics
of
fluids
with
immersed
rigid
particles
and
fibers
are
very
complex
also
in
this
Stokesian
regime,
and
surface
tension
effects
are
strongly
pronounced
at
interfaces
of
immiscible
fluids.
Simulation
methods
can
be
developed
based
on
boundary
integral
equations,
which
leads
to
discretizations
of
the
boundaries
of
the
domain
only,
and
hence
fewer
unknowns
compared
to
a
discretization
of
the
PDE.
Two
main
challenges
associated
with
boundary
integral
discretizations
are
to
construct
accurate
quadrature
methods
for
singular
and
nearly
singular
integrands,
as
well
as
to
accelerate
the
solution
of
the
linear
systems,
that
will
have
dense
system
matrices.
If
these
issues
are
properly
addressed,
boundary
integral
based
simulations
can
be
both
highly
accurate
and
very
efficient.
I
will
present
a
spectrally
accurate
FFT
based
Ewald
method
developed
for
the
purpose
of
accelerating
simulations
and
will
discuss
its
application
to
simulations
of
periodic
suspensions
of
rigid
particles
and
rigid
fibers
in
3D.
I
will
also
discuss
a
method
for
highly
accurate
simulations
of
interacting
drops
in
2D.