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Prof.dr. Manuel Torrilhon (RWTH Aachen, Germany)
| Speaker: |
Prof.dr. Mauel Torrilhon
(RWTH Aachen, Germany)
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| Date: |
Wednesday July 6, 2011
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| Title: |
Modeling
of
Rarefied Gas Flows with Extended Fluid Dynamics
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Abstract
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Rarefied
gas
flows, or equally gas micro-flows, exhibit strong non-equilibrium
behavior due to insufficient particle interactions. The traditional
equations of gas dynamics with the constitutive laws of Navier-Stokes
and Fourier for stress tensor and heat flux are known to loose their
validity in these extreme physical situations. Instead the flow needs
to be modeled on the basis of kinetic gas theory and the Boltzmann
equation. However, this statistical approach is computationally
expensive and also can not provide an easy fluid-dynamic intuition for
the non-equilibrium phenomena.
In some regimes it is possible to use kinetic gas theory and moment
approximations to derive an extended constitutive theory that replaces
the equations of Navier-Stokes-Fourier. This talk will present the
Regularized 13-Moment-Equations as a system of partial differential
equations for fluid dynamic field variables capable to describe
non-equilibrium rarefied or micro flows. We will briefly discuss the
derivation of the equations and present results for standard settings
(channel flow, flow past a sphere) which show interesting features in
the rarefied situation.
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