Finite element exterior calculus framework for geophysical fluid dynamics
Seminar Room 1, Newton Institute
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.