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SUMMARY:Towards a geometric variational discretization of compressible flu
 id dynamics - François Gay-Balmaz (CNRS - Ecole Normale Superieure Paris)
DTSTART:20171113T160000Z
DTEND:20171113T164500Z
UID:TALK94915@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We present a geometric variational discretization of compressi
 ble fluid dynamics. The numerical scheme is obtained by discretizing\, in 
 a structure preserving way\, the Lie group formulation of fluid dynamics o
 n diffeomorphism groups and the associated variational principles. Our fra
 mework applies to irregular mesh discretizations in 2D and 3D. It systemat
 ically extends work previously made for incompressible fluids to the compr
 essible case. We consider in detail the numerical scheme on 2D irregular s
 implicial meshes and evaluate the behavior of the scheme for the rotating 
 shallow water equations. While our focus is fluid mechanics\, our approach
  is potentially useful for discretizing problems involving evolution equat
 ions on diffeomorphism groups. This is a joint work with W. Bauer.
LOCATION:Seminar Room 1\, Newton Institute
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