[Amath-seminars] Talk by Christiane Helzel on Thursday Jan. 12

Randall J LeVeque rjl at uw.edu
Mon Jan 9 09:20:11 PST 2017


Christiane Helzel
<http://www.math.hhu.de/de/lehrstuehle-und-personen/die-lehrstuehle-des-mathematischen-instituts/lehrstuhl-fuer-angewandte-mathematik/team/professoren-am-lehrstuhl-mw/frau-prof-dr-christiane-helzel.html>
from the University of Düsseldorf will be visiting AMath all week (using
Lewis 313), and giving a talk on Thursday at 1:30 in Lewis 208. All are
invited!

- Randy


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NARC Seminar Talk
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Speaker: Christiane Helzel,
Heinrich-Heine-Universität, Düsseldorf

Title: Modelling and Simulation of the Sedimentation
in Suspensions of Rod-Like Particles

Time and Date: 1:30pm on Thursday January 12, 2017

Place: Lewis 208

Abstract:

Starting point of our considerations is a coupled system consisting of a
kinetic equation coupled to a macroscopic Navier-Stokes equation describing
the motion of a suspension of rigid rods under the influence of gravity. A
reciprocal coupling leads to the formation of clusters: The buoyancy force
creates a macroscopic velocity gradient that causes the microscopic
particles to align so that their sedimentation reinforces the formation of
clusters of higher particle density.

Since the coupled system is high-dimensional, we are interested in the
derivation of simpler systems which describe the dynamics without resolving
the kinetic equation.

We discuss two different approaches to obtain such systems. Furthermore, we
discuss the numerical methods which were used to approximate the different
mathematical models and show numerical results.

This is joint work with Athanasios E. Tzavaras from KAUST.

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