A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912191185158144 |
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| author | Yamazaki, Hiroe Cotter, Colin |
| author_facet | Yamazaki, Hiroe Cotter, Colin |
| contents | A new test case is presented for evaluating the compressible dynamical cores of the atmospheric models. The test case is based on a compressible vertical slice model that can be obtained by simple modification of a standard three dimensional compressible dynamical core. On the one hand, an advantage of the test case is that is quasi-2D, so it can be run quickly on a standard workstation, enabling rapid experimentation with numerical schemes and discretisation choices. On the other hand, the test case exhibits frontogenesis, a challenging regime for numerical discretisations which usually only arises in 3D model configurations for the compressible case. Numerical results of the test case using an implicit time-stepping method with a compatible finite element discretisation are presented as a reference solution. An example comparison between advective and vector-invariant forms for the advective nonlinearity in the velocity equation demonstrates one possible use of the scheme. The comparison shows a Hollingsworth-like instability when the vector invariant form is used. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09752 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models Yamazaki, Hiroe Cotter, Colin Numerical Analysis Atmospheric and Oceanic Physics A new test case is presented for evaluating the compressible dynamical cores of the atmospheric models. The test case is based on a compressible vertical slice model that can be obtained by simple modification of a standard three dimensional compressible dynamical core. On the one hand, an advantage of the test case is that is quasi-2D, so it can be run quickly on a standard workstation, enabling rapid experimentation with numerical schemes and discretisation choices. On the other hand, the test case exhibits frontogenesis, a challenging regime for numerical discretisations which usually only arises in 3D model configurations for the compressible case. Numerical results of the test case using an implicit time-stepping method with a compatible finite element discretisation are presented as a reference solution. An example comparison between advective and vector-invariant forms for the advective nonlinearity in the velocity equation demonstrates one possible use of the scheme. The comparison shows a Hollingsworth-like instability when the vector invariant form is used. |
| title | A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models |
| topic | Numerical Analysis Atmospheric and Oceanic Physics |
| url | https://arxiv.org/abs/2501.09752 |