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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Explicit and exact solutions concerning the Atlant
ic Circumpolar Current with variable density in sp
herical coordinates - Calin-Iulian Martin (Univers
ität Wien)
DTSTART;TZID=Europe/London:20220927T140000
DTEND;TZID=Europe/London:20220927T143000
UID:TALK178385AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/178385
DESCRIPTION:We use spherical coordinates to devise a new exact
solution to the governing equations of geophysica
l fluid dynamics for an inviscid and incompressibl
e fluid with a general density distribution and su
bjected to forcing terms. The latter are of paramo
unt importance for the modeling of realistic flows
\, that is\, flows that are observed in some avera
ged sense in the ocean. Owing to the employment of
spherical coordinates we do not need to resort to
approximations (e.g.\, of f- and &beta\;-plane ty
pe) that simplify the geometry in the governing eq
uations. Our explicit solution represents a steady
purely azimuthal stratified flow with a free surf
ace that - thanks to the inclusion of forcing term
s and the consideration of the Earth'\;s geomet
ry via spherical coordinates - makes it suitable f
or describing the Antarctic Circumpolar Current an
d enables an in-depth analysis of the structure of
this flow. In line with the latter aspect\, we em
ploy functional analytical techniques to prove tha
t the free surface distortion is defined in a uniq
ue and implicit way by means of the pressure appli
ed at the free surface. We conclude our discussion
by setting out relations between the monotonicity
of the surface pressure and the monotonicity of t
he surface distortion that concur with the physica
l expectations.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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