1. A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
- Author
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Melvin, Thomas, Shipway, Ben, Wood, Nigel, Benacchio, Tommaso, Bendall, Thomas, Boutle, Ian, Brown, Alex, Johnson, Christine, Kent, James, Pring, Stephen, Smith, Chris, Zerroukat, Mohamed, Cotter, Colin, and Thuburn, John
- Subjects
Mathematics - Numerical Analysis ,Mathematical Physics ,65M22 - 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., Comment: 26 Pages, 8 Figures, 1 Table
- Published
- 2024