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SUMMARY:Projective and Telescopic Projective Integration for Kinetic Mixtu
 res - Rafael Bailo (University of Oxford)
DTSTART:20220526T111500Z
DTEND:20220526T121500Z
UID:TALK173627@talks.cam.ac.uk
DESCRIPTION:We propose fully explicit projective integration schemes for n
 on-linear collisional kinetic equations for mixtures. The methods employ a
  sequence of small forward-Euler steps\, intercalated with extrapolation s
 teps. The telescopic approach repeats said extrapolations as the basis for
  an even larger step. This hierarchy renders the computational complexity 
 of the method essentially independent of the stiffness of the problem\, wh
 ich permits the efficient solution of equations in the hyperbolic scaling 
 with very small Knudsen numbers. We validate the scheme against standard t
 est cases\, and we demonstrate its prowess in dealing with large mass rati
 os\, fluid instabilities and other complex phenomena. This is work in coop
 eration with Thomas Rey.
LOCATION:Seminar Room 1\, Newton Institute
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