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SUMMARY:François Gay-Balmaz (CNRS-LMD\, ENS)
DTSTART:20200616T144500Z
DTEND:20200616T160000Z
DTSTAMP:20260404T115621Z
UID:GDMSeminar/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDMSeminar/1
 /">Geometric variational finite element discretization of compressible flu
 ids</a>\nby François Gay-Balmaz (CNRS-LMD\, ENS) as part of Geometry\, Dy
 namics and Mechanics Seminar\n\n\nAbstract\nWe review recent progress made
  in the development of structure preserving finite element integrators for
  compressible fluids. This approach combines the geometric formulation of 
 fluid dynamics on groups of diffeomorphisms with finite element discretiza
 tion techniques. A specific feature of the discrete geometric formulation 
 is the occurrence of a nonholonomic right-invariant distribution on the di
 screte group of diffeomorphisms\, that is shown to be isomorphic to a Ravi
 art-Thomas finite element space. The resulting finite element discretizati
 ons correspond to weak forms of the compressible fluid equations that don'
 t seem to have been used in the finite element literature. It extends prev
 ious work done on incompressible flows and at the lowest order on compress
 ible fluids. We illustrate the benefits of this geometric approach and pre
 sent potential future directions. This is a joint work with E. Gawlik.\n
LOCATION:https://researchseminars.org/talk/GDMSeminar/1/
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