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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the way to the limit: finite epsilon effects in
oscillatory fluid dynamics and their numerical ap
proximation with time-parallel methods - Beth Wing
ate (University of Exeter)
DTSTART;TZID=Europe/London:20220518T100000
DTEND;TZID=Europe/London:20220518T110000
UID:TALK173561AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/173561
DESCRIPTION:In highly oscillatory fluid dynamics\, such as flu
ids that govern Earth's atmosphere and ocean\, the
role of the waves on developing and sustaining a
mean\, low-frequency flow is an interesting questi
on with far-reaching consequences for how we perfo
rm numerical computations. In this talk I will dis
cuss the role of finite-epsilon effects from time-
scale separated PDEs on the formation and persiste
nce of low-frequency phenomenon and its impact on
numerical time stepping methods of the future. I w
ill rely on the use of the semi-group operator as
a mapping that helps reveal the mathematical struc
ture of the PDE\, and averaging\, from common tech
niques used in the study of fast singular limits.
\; I will give examples of ODEs\, and numeric
al computations of the shallow water equations. Fi
nally\, I will give a friendly introduction to tim
e-parallel time-stepping methods and sketch a new
proof of convergence for the parareal method when
there is finite epsilon time-scale separation.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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