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Compact finite difference schemes on the CubedSphere
http://sms.cam.ac.uk/media/1317255
JeanPierre Croisille, (Université de Lorraine)
Monday 24 September 2012, 15:4516:10
40
Compact finite difference schemes on the CubedSphere
http://sms.cam.ac.uk/media/1317255
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Compact finite difference schemes on the CubedSphere
ucs_sms_1291503_1317255
http://sms.cam.ac.uk/media/1317255
Compact finite difference schemes on the CubedSphere
JeanPierre Croisille, (Université de Lorraine)
Monday 24 September 2012, 15:4516:10
Wed, 26 Sep 2012 15:30:13 +0100
Isaac Newton Institute
JeanPierre Croisille
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JeanPierre Croisille, (Université de Lorraine)
Monday 24 September 2012,...
JeanPierre Croisille, (Université de Lorraine)
Monday 24 September 2012, 15:4516:10
Cambridge University
1405
http://sms.cam.ac.uk/media/1317255
Compact finite difference schemes on the CubedSphere
JeanPierre Croisille, (Université de Lorraine)
Monday 24 September 2012, 15:4516:10
The CubedSphere is a spherical grid made of six quasicartesian square like patches. It was originally introduced by Sadourny some forty years ago. We extend to this grid the design of highorder finite difference compact operators. Such discrete operators are used in Computational Fluid Dynamics on structured grids for applications such as Direct Numerical Simulation of turbulent flows, or aeroacoustics problems. We consider in this work the design of a uniformly fourthorder accurate spherical gradient. The main approximation principle consists in defining a network of great circles covering the CubedSphere along which a highorder 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 fully symmetric approximation system on the CubedSphere. We numerically demonstrate the accuracy of the approximate gradient on several test problems, in particular the cosinebell testcase of Williamson et al. for climatology.
20120926T15:30:29+01:00
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