dorsal/arxiv
View SchemaA Comparison of Two Shallow Water Models with Non-Conforming Adaptive Grids: classical tests
| Authors | Amik St-Cyr, Christiane Jablonowski, John M. Dennis, Henry M. Tufo, Stephen J. Thomas |
|---|---|
| Categories | |
| ArXiv ID | physics/0702133 |
| URL | https://arxiv.org/abs/physics/0702133 |
| DOI | 10.1175/2007MWR2108.1 |
Abstract
In an effort to study the applicability of adaptive mesh refinement (AMR) techniques to atmospheric models an interpolation-based spectral element shallow water model on a cubed-sphere grid is compared to a block-structured finite volume method in latitude-longitude geometry. Both models utilize a non-conforming adaptation approach which doubles the resolution at fine-coarse mesh interfaces. The underlying AMR libraries are quad-tree based and ensure that neighboring regions can only differ by one refinement level. The models are compared via selected test cases from a standard test suite for the shallow water equations. They include the advection of a cosine bell, a steady-state geostrophic flow, a flow over an idealized mountain and a Rossby-Haurwitz wave. Both static and dynamics adaptations are evaluated which reveal the strengths and weaknesses of the AMR techniques. Overall, the AMR simulations show that both models successfully place static and dynamic adaptations in local regions without requiring a fine grid in the global domain. The adaptive grids reliably track features of interests without visible distortions or noise at mesh interfaces. Simple threshold adaptation criteria for the geopotential height and the relative vorticity are assessed.
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"abstract": "In an effort to study the applicability of adaptive mesh refinement (AMR)\ntechniques to atmospheric models an interpolation-based spectral element\nshallow water model on a cubed-sphere grid is compared to a block-structured\nfinite volume method in latitude-longitude geometry. Both models utilize a\nnon-conforming adaptation approach which doubles the resolution at fine-coarse\nmesh interfaces. The underlying AMR libraries are quad-tree based and ensure\nthat neighboring regions can only differ by one refinement level.\n The models are compared via selected test cases from a standard test suite\nfor the shallow water equations. They include the advection of a cosine bell, a\nsteady-state geostrophic flow, a flow over an idealized mountain and a\nRossby-Haurwitz wave. Both static and dynamics adaptations are evaluated which\nreveal the strengths and weaknesses of the AMR techniques. Overall, the AMR\nsimulations show that both models successfully place static and dynamic\nadaptations in local regions without requiring a fine grid in the global\ndomain. The adaptive grids reliably track features of interests without visible\ndistortions or noise at mesh interfaces. Simple threshold adaptation criteria\nfor the geopotential height and the relative vorticity are assessed.",
"arxiv_id": "physics/0702133",
"authors": [
"Amik St-Cyr",
"Christiane Jablonowski",
"John M. Dennis",
"Henry M. Tufo",
"Stephen J. Thomas"
],
"categories": [
"physics.comp-ph",
"physics.ao-ph"
],
"doi": "10.1175/2007MWR2108.1",
"title": "A Comparison of Two Shallow Water Models with Non-Conforming Adaptive Grids: classical tests",
"url": "https://arxiv.org/abs/physics/0702133"
},
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