Finite element exterior calculus framework for geophysical fluid dynamics
Seminar Room 1, Newton Institute
We present a finite element framework that extends the mimetic approach of Ringler, Thuburn, Skamarock and Klemp (2010) to finite element methods. The framework preserves the following benefits of the mimetic approach: local mass conservation, steady geostrophic linear modes on the f-plane, consistent conservative potential vorticity advection, but allows for selection of higher-order finite element discretisations and adjustment of the balance of vorticity and mass degrees of freedom. We will explain the foundations of the framework and present some preliminary numerical results which form part of the UK Met Office/NERC/STFC GungHo dynamical core project.