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SUMMARY:Generation of Provably Correct Curvilinear Meshes - Jonathan Lambr
 echts\,   (Universit Catholique de Louvain )
DTSTART:20120925T110000Z
DTEND:20120925T112500Z
UID:TALK40093@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The development of high-order numerical technologies for CFD i
 s underway for many years now. For example\, Discontinuous Galerkin method
 s (DGM) have been largely studied in the literature\, initially in a quite
  theoretical context\, and now in the application point of view. In many c
 ontributions\, it is shown that the accuracy of the method strongly depend
 s of the accuracy of the geometrical discretization. In other words\, the 
 following question is raised:we have the high order methods\, but how do w
 e get the meshes? \n\nThis talk focus on the generation of highly curved o
 cean meshes of polynomial order 2 to 4. \n\nIn the first part\, we propose
  a robust procedure that allows to build a curvilinear mesh for which ever
 y element is guaranteed to be valid. The technique builds on standard opti
 mization method (BICG) combined with a log-barrier objective function to g
 uarantee the positivity of the elements Jacobian and thus the validity of 
 the elements. \n\nTo be valid is not the only requirement for a good-quali
 ty mesh. If the temporal discretization is explicit\, even a valid element
  can lead to a very stringent constraint on the stable time step. The seco
 nd part of the talk is devoted to the optimization of the curvilinear ocea
 n meshes to obtain large stable time steps.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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