A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
<|reference_start|>A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry: 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.<|reference_end|>
@article{melvin2024a,
    title={A mixed finite-element, finite-volume, semi-implicit discretisation for
  atmospheric dynamics: Spherical geometry},
    author={Thomas Melvin, Ben Shipway, Nigel Wood, Tommaso Benacchio, Thomas
  Bendall, Ian Boutle, Alex Brown, Christine Johnson, James Kent, Stephen
  Pring, Chris Smith, Mohamed Zerroukat, Colin Cotter, John Thuburn},
    journal={arXiv preprint arXiv:2402.13738},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.13738},
    primaryClass={math.NA cs.NA math-ph math.MP}
}