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Mathematics > Numerical Analysis

arXiv:2402.13738 (math)
[Submitted on 21 Feb 2024]

Title:A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry

Authors: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
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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.
Comments: 26 Pages, 8 Figures, 1 Table
Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)
MSC classes: 65M22
Cite as: arXiv:2402.13738 [math.NA]
  (or arXiv:2402.13738v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2402.13738

Submission history

From: Thomas Melvin [view email]
[v1] Wed, 21 Feb 2024 12:06:51 UTC (10,323 KB)
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