Finite element exterior calculus framework for geophysical fluid dynamics

36 mins 49 secs, 153.36 MB, Flash Video 484x272, 29.97 fps, 44100 Hz, 568.73 kbits/sec

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Description:	Cotter, C (Imperial College London) Friday 24 August 2012, 16:00-16:30


Created:	2012-08-28 15:29
Collection:	Multiscale Numerics for the Atmosphere and Ocean
Publisher:	Isaac Newton Institute
Copyright:	Cotter, C
Language:	eng (English)


Abstract:	Finite element exterior calculus provides an extension of the mimetic differencing approach that underlies the C-grid schemes used in the ICON and MPAS projects. This talk will lay out an extension of this approach, in particular of the approach of Ringler, Thuburn, Skamarock and Klemp (2010), to a finite element framework. The required properties of (a) stationary geostrophic linear modes on the f-plane, (b) local conservation of mass, and (c) conservative, consistent advection of potential vorticity are retaining in this framework, whilst allowing higher-order accuracy and increased flexibility which can be used to alter the balance of vorticity and mass degrees of freedom to minimise the potential for spurious modes.

Abstract:

Finite element exterior calculus provides an extension of the mimetic differencing approach that underlies the C-grid schemes used in the ICON and MPAS projects. This talk will lay out an extension of this approach, in particular of the approach of Ringler, Thuburn, Skamarock and Klemp (2010), to a finite element framework. The required properties of (a) stationary geostrophic linear modes on the f-plane, (b) local conservation of mass, and (c) conservative, consistent advection of potential vorticity are retaining in this framework, whilst allowing higher-order accuracy and increased flexibility which can be used to alter the balance of vorticity and mass degrees of freedom to minimise the potential for spurious modes.

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