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SUMMARY:Uniformly third Order conserving Schems on Polygonal Grids - Jrgen
  Steppeler\,   (Deutscher Wetterdienst (DWD))
DTSTART:20120924T132500Z
DTEND:20120924T135000Z
UID:TALK40009@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Uniformly third Order conserving Schems on Polygonal Grids. Th
 e interest in polygonal grids is increasing. They are an alternative to th
 e more commonly used spectral and latitude longitude grids. Among other ad
 vantages they offer the possibility of a rather uniform cover of the spher
 e with grid cells. Other advantages concern the ease of using multiprocess
 ing computers and using special vertical treatments\, such as shaved cells
 . Well known examples of polygonal grids are the cube sphere and the icosa
 hedral grid. After initial research by Sadourny and Williamsson the practi
 cability of this approach was shown by Baumgardner and Steppeler. In parti
 cular Baumgardner showed that problems with some approaches can be traced 
 back to the fact that for slightly irregular resolution methods are not un
 iformly second order. After correcting this problem Baumgardner was able t
 o show that problems arising from irregular grids do not occur. Steppeler 
 generalized this approach to third order. Both Baumgardners and Steppelers
  approaches were non conser ving. A generalization to conserving schemes w
 ill be presented and computational examples given. Another high order appr
 oach is the pecral element method\, which currently is available for order
 s 4 an higher only. The approach presented can be considered as a version 
 of third order spectral elements. The advantages of third order schemes ov
 er even higher order approaches will be discussed. \n
LOCATION:Seminar Room 1\, Newton Institute
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