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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Compact finite difference schemes on the Cubed-Sph
ere - Jean-Pierre Croisille\, (Universit de Lorr
aine)
DTSTART;TZID=Europe/London:20120924T154500
DTEND;TZID=Europe/London:20120924T161000
UID:TALK40015AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/40015
DESCRIPTION:The Cubed-Sphere is a spherical grid made of six q
uasi-cartesian square like patches. It was origina
lly introduced by Sadourny some forty years ago. W
e extend to this grid the design of high-order fin
ite difference compact operators. Such discrete op
erators are used in Computational Fluid Dynamics o
n structured grids for applications such as Direct
Numerical Simulation of turbulent flows\, or aero
acoustics problems. We consider in this work the d
esign of a uniformly fourth-order accurate spheric
al gradient. The main approximation principle cons
ists in defining a network of great circles coveri
ng the Cubed-Sphere along which a high-order hermi
tian gradient can be calculated. This procedure al
lows a natural treatment at the interface of the s
ix patches. The main interest of the approach is a
fully symmetric approximation system on the Cubed
-Sphere. We numerically demonstrate the accuracy o
f the approximate gradient on several test problem
s\, in particular the cosine-bell test-case of Wil
liamson et al. for climatology.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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