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SUMMARY:On projective integration schemes for single and multiple species 
 gases - Thomas Rey (Université Lille 1\, INRIA Lille - Nord Europe Resear
 ch Centre)
DTSTART:20220525T080000Z
DTEND:20220525T090000Z
UID:TALK173648@talks.cam.ac.uk
DESCRIPTION:Projective integration has been recently proposed as a viable 
 alternative to fully implicit and micro-macro methods for providing light\
 , nonintrusive and almost AP integrators for collisional kinetic equations
 . We shall present in this talk fully explicit projective integration and 
 telescopic projective integration schemes for the multispecies Boltzmann a
 nd BGK equations. The methods employ a sequence of small forward-Euler ste
 ps\, intercalated with large extrapolation steps. The telescopic approach 
 repeats said extrapolations as the basis for an even larger step. This hie
 rarchy renders the computational complexity of the method essentially inde
 pendent of the stiffness of the problem\, which permits the efficient solu
 tion of equations in the hyperbolic scaling with very small Knudsen number
 s. We validate the schemes on a range of scenarios\, demonstrating its pro
 wess in dealing with extreme mass ratios\, fluid instabilities\, and other
  complex phenomena.This is a joint work with R. Bailo (U. Oxford)\, W. Mel
 is and G. Samaey (K.U. Leuven)
LOCATION:Seminar Room 1\, Newton Institute
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