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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A network of invariant solutions underlying spatio
-temporal patterns in inclined layer convection -
Tobias Schneider (EPFL - Ecole Polytechnique Fédér
ale de Lausanne)
DTSTART;TZID=Europe/London:20220328T103000
DTEND;TZID=Europe/London:20220328T110000
UID:TALK171113AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/171113
DESCRIPTION:Thermal convection in a fluid between two horizont
al plates\, a lower hot plate and an upper cold pl
ate\, exhibits chaotic dynamics and turbulence. If
such a convection cell is inclined against gravit
y\, buoyancy forces drive hot and cold fluid up an
d down the incline leading to a shear flow in the
base state and the emergence of complex dynamics a
nd spatio-temporal patterns.We study the dynamics
of inclined layer convection (ILC) using a fully n
onlinear dynamical systems approach based on a sta
te space analysis of the governing equations. Expl
oiting the computational power of highly paralleli
zed numerical continuation tools based on matrix-f
ree Newton methods\, we compute a collection of in
variant solutions of ILC and discuss their bifurca
tion structure. Specifically\, fixed points\, trav
elling waves\, periodic orbits and heteroclinic or
bits will be shown. At intermediate angles of incl
ination\, we demonstrate how a simple network of i
nvariant solutions guides moderately complex dynam
ics. The complexity of the dynamics increases with
the intensity of the basic shear flow. At high in
clination angles\, localized patches of weakly tur
bulent convection within a background of straight
longitudinal convection rolls are observed. We pre
sent exact invariant solutions capturing both the
dynamics and the spatial localization of these so-
called transverse bursts. \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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