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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:An Adjoint Method for the Nonlinear Boltzmann Equa
 tion - Russel E. Caflisch (New York University)
DTSTART;TZID=Europe/London:20220524T090000
DTEND;TZID=Europe/London:20220524T100000
UID:TALK173423AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/173423
DESCRIPTION:We present an adjoint method for the spatially hom
 ogeneous\, nonlinear Boltzmann equation\, based on
  the "discretize then optimize" approach. The disc
 retization (in time and velocity) is the DSMC meth
 od\, and adjoint equations are derived from an aug
 mented Lagrangian. After a forward (in time) solut
 ion of DSMC\, the adjoint variables are found by a
  backwards solution. The adjoint variable is equal
  to a velocity derivative of an objective function
 . Numerical tests show that this gives accurate ve
 locity derivatives and can be used in optimization
  for solutions of the Boltzmann equation. This is 
 joint work with Yunan Yang and Denis Silantyev.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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