A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
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arXiv
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| Auteurs principaux: | , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914687865585664 |
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| author | 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 Thuburn, John |
| author_facet | 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 Thuburn, John |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13738 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry 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 Thuburn, John Numerical Analysis Mathematical Physics 65M22 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. |
| title | A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry |
| topic | Numerical Analysis Mathematical Physics 65M22 |
| url | https://arxiv.org/abs/2402.13738 |