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SUMMARY:Evaluating numerical methods by using asymptotic limit solutions -
  Mike Cullen\,   (Met Office)
DTSTART:20120927T091500Z
DTEND:20120927T094000Z
UID:TALK40218@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Numerical models of the atmosphere and ocean 'solve' the gover
 ning Navier-Stokes equations\, but because of the complexity of the true s
 olutions\, can only do so in a grossly averaged sense. Standard numerical 
 analysis theory is then of limited use\, because it expects solutions to b
 e close to the truth. The Navier-Stokes equations are known to have soluti
 ons close to computable asymptotic limits in many cases of practical inter
 est. This talk gives examples\, including dynamics/boundary-layer interact
 ion\, frontal solutions where the asymptotic limit is singular\, and long-
 term behaviour of baroclinic systems\, together with numerical demonstrati
 ons. The technique should help to validate the new integration schemes bei
 ng proposed.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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