Talk
Abstract:
Relaxation-time Operator: Asymptotic Limits and Simulation
Jose
Antonio Carrillo
Department of Mathematics C1200
University of Texas at Austin RLM 8.100
carri@fireant.ma.utexas.edu
http://www.ma.utexas.edu/users/carri
In this talk I review some of the different asymptotics for
the relaxation-time operator, proposed in the literature, from
the numerical simulation point of view. By solving the kinetic
equation in some model device, a n+-n-n+ diode, we study whether
these different asymptotics take place in the channel and we
compare the solution to the simulation of their corresponding
macroscopic equation/s for each regime. Also, we show comparisons
of relaxation-time kinetic system versus full Boltzmann-Poisson
system solved by DSMC. We will discuss numerically the validity
of this approximation.
Material
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