A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
Abstract
The reformulation of the Met Office's dynamical core for weather and climate prediction previously described by the authors is extended to spherical domains using a cubed-sphere mesh. This paper updates the semi-implicit mixed finite-element formulation to be suitable for spherical domains. In particular the finite-volume transport scheme is extended to take account of non-uniform, non-orthogonal meshes and uses an advective-then-flux formulation so that increment from the transport scheme is linear in the divergence. The resulting model is then applied to a standard set of dry dynamical core tests and compared to the existing semi-implicit semi-Lagrangian dynamical core currently used in the Met Office's operational model.
Keywords
Cite
@article{arxiv.2402.13738,
title = {A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry},
author = {Thomas Melvin and Ben Shipway and Nigel Wood and Tommaso Benacchio and Thomas Bendall and Ian Boutle and Alex Brown and Christine Johnson and James Kent and Stephen Pring and Chris Smith and Mohamed Zerroukat and Colin Cotter and John Thuburn},
journal= {arXiv preprint arXiv:2402.13738},
year = {2024}
}
Comments
26 Pages, 8 Figures, 1 Table