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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.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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