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SUMMARY:Compact finite difference schemes on the Cubed-Sphere - Jean-Pierr
 e Croisille\,   (Universit de Lorraine)
DTSTART:20120924T144500Z
DTEND:20120924T151000Z
UID:TALK40015@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Cubed-Sphere is a spherical grid made of six quasi-cartesi
 an square like patches. It was originally introduced by Sadourny some fort
 y years ago. We extend to this grid the design of high-order finite differ
 ence compact operators. Such discrete operators are used in Computational 
 Fluid Dynamics on structured grids for applications such as Direct Numeric
 al Simulation of turbulent flows\, or aeroacoustics problems. We consider 
 in this work the design of a uniformly fourth-order accurate spherical gra
 dient. The main approximation principle consists in defining a network of 
 great circles covering the Cubed-Sphere along which a high-order hermitian
  gradient can be calculated. This procedure allows a natural treatment at 
 the interface of the six patches. The main interest of the approach is a f
 ully symmetric approximation system on the Cubed-Sphere. We numerically de
 monstrate the accuracy of the approximate gradient on several test problem
 s\, in particular the cosine-bell test-case of Williamson et al. for clima
 tology.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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