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SUMMARY:Fokker-Planck description of fluid flows: efficient particle Monte
 -Carlo schemes for gases
DTSTART:20161031T103000
DTEND:20161031T113000
DTSTAMP:20260509T054949Z
UID:a98aab3ff05da66ac3081f7d8c9ab462864a95586716118720ffc6c1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Hossein Gorji\nAICES\, RWTH Aachen\, Univ.\, Dept. of Math
 ematics\, Aachen\, D\nFluid flows far from the equilibrium continue to be 
 one of the main challenges in fluid mechanics and computational sciences. 
 For dilute gases\, the Boltzmann equation provides the accurate descriptio
 n of the velocity distribution evolution due to binary collisions among mo
 lecules. Though not exclusively\, the Direct Simulation Monte-Carlo (DSMC)
  method of Bird is employed for simulations of such flows. However as the 
 flow approaches the equilibrium\, the collision operator demands more oper
 ations resulting in expensive computations for particle schemes à la DSMC
 . Recently\, Fokker-Planck based particle Monte-Carlo methods were derived
  upon the Boltzmann operator. In contrast to DSMC\, here the associated st
 ochastic processes imply independent trajectories for particles and hence 
 leading to the computational complexity independent of the Knudsen number.
  Since here no collisions need to be performed\, efficient simulations bec
 ome possible\; from the hydrodynamic limit all the way to free molecular r
 egime. In this talk\, we review such Fokker-Planck models for rarefied neu
 tral gases. Furthermore\, the issue of the statistical errors will be addr
 essed. It is shown how the idea of correlated processes can be adopted in 
 order to reduce the statistical errors at low Mach flows. The talk will be
  concluded by an outlook to the extension of the Fokker-Planck solution al
 gorithm for dense gases and plasmas.
LOCATION:PPB 019
STATUS:CONFIRMED
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