Research Activities >
Programs >
Complex Fluids 2007
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Dynamical Modeling Based on Energy
Dissipation
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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Dynamical Modeling Based on Energy Dissipation
Professor
Pingwen Zhang
Peking University
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Abstract:
Energy dissipation for a dynamical model is
important not only for the physical correctness but
also for stable and robust numerical simulation. In
this talk, we introduce a systemic technique for
dynamical modeling and a way from energy dissipation
law to dynamical equations. We will present a new
closure approximation needed for deriving effective
macroscopic moment equations from the microscopic
FENE kinetic theory modeling viscoelastic polymeric
fluids and inhomogeneous kinetic theory of liquid
crystal polymers. The simplified system coupling the
moment equations and the Navier-Stokes equations
still possesses an approximated energy law analogous
to the original micro-macro system. Some other
examples for complicated coupled models of polymer
phase separation and dynamical cell membrane are
introduced to expound the whole process. Numerical
results show good stability of these models as well
as the numerical schemes.
[slides] |
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