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SUMMARY:Special IGM Colloquium: Spots\, stripes and bursts: Patterns in co
 nvectively driven shear flows.
DTSTART:20200409T160000
DTEND:20200409T170000
DTSTAMP:20260928T231622Z
UID:15a88c7cf90a5bbbae602d3eb5cd025e451a59608cccb3a87ea54111
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Tobias Schneider\nAbstract:\nThe transition to turbulenc
 e of fluid flows is ubiquitous\, arising in our every-day experience when 
 we ride a bicycle or take off in an airplane. Despite this ubiquity\, the 
 laminar-turbulent transition in wall-bounded flows is one of the least und
 erstood phenomena in fluid mechanics. During transition\, the flow may sel
 f-organize into patterns with regular spatial and temporal structure\, who
 se origins remain unexplained. A canonical flow exhibiting a large variety
  of complex spatio-temporal flow patterns is thermal convection in a fluid
  layer between two parallel plates kept at different temperature and incli
 ned against gravity.\n\nWe study the dynamics of the so-called inclined la
 yer convection (ILC) system\, using a fully nonlinear dynamical systems ap
 proach based on a state space analysis of the governing equations. Exploit
 ing the computational power of our highly parallelized numerical continuat
 ion tools (www.channelflow.ch)\, we construct a large set of invariant sol
 utions of ILC and discuss their bifurcation structure. We show that unstab
 le equilibria\, travelling waves\, periodic orbits and heteroclinic orbits
  form dynamical networks that support moderately complex dynamics at inter
 mediate angles of inclination. At high inclination angles\, localized patc
 hes of weakly turbulent convection within a background of straight longitu
 dinal convection rolls are observed. We present exact invariant solutions 
 capturing both the dynamics and the spatial localization of these so-calle
 d transverse bursts.\n\nMore generally\, these results demonstrate how com
 bining nonlinear dynamical systems methods with modern computational tools
  allows us to understand the complex behaviour that emerges in seemingly s
 imple yet intrinsically nonlinear mechanical systems.\n\n\nBio:\nTobias Sc
 hneider is an assistant professor in the School of Engineering at EPFL\, t
 he Swiss Federal Institute of Technology Lausanne. He received his doctora
 l degree in theoretical physics in 2007 from the University of Marburg in 
 Germany working on the transition to turbulence in pipe flow. He then join
 ed Harvard University as a postdoctoral fellow. In 2012 Tobias Schneider r
 eturned to Europe to establish an independent Max-Planck research group at
  the Max-Planck Institute for Dynamics and Self-Organization in Goettingen
 . Since 2014\, he is working at EPFL\, where he teaches fluid mechanics an
 d heads the 'Emergent Complexity in Physical Systems' laboratory. \nTobia
 s Schneider's research is focused on nonlinear mechanics with specific emp
 hasis on spatial turbulent-laminar patterns in fluid flows transitioning t
 o turbulence. His lab combines dynamical systems and pattern-formation the
 ory with large-scale computer simulations. Together with his team\, Schnei
 der develops computational tools and continuation methods for studying the
  bifurcation structure of nonlinear differential equations such as those d
 escribing the flow of a fluid. These tools are published as open-source so
 ftware at channelflow.ch.
LOCATION:Zoom webinar https://epfl.zoom.us/j/370438000
STATUS:CONFIRMED
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