High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models
© 2017 Elsevier Ltd Discretisation of the horizontal pressure gradient force in layered ocean models is a challenging task, with non-trivial interactions between the thermodynamics of the fluid and the geometry of the layers often leading to numerical difficulties. We present two new finite-volume s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier BV
2021
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| Online Access: | https://hdl.handle.net/1721.1/135564 |
| _version_ | 1826200286506516480 |
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| author | Engwirda, Darren Kelley, Maxwell Marshall, John |
| author_facet | Engwirda, Darren Kelley, Maxwell Marshall, John |
| author_sort | Engwirda, Darren |
| collection | MIT |
| description | © 2017 Elsevier Ltd Discretisation of the horizontal pressure gradient force in layered ocean models is a challenging task, with non-trivial interactions between the thermodynamics of the fluid and the geometry of the layers often leading to numerical difficulties. We present two new finite-volume schemes for the pressure gradient operator designed to address these issues. In each case, the horizontal acceleration is computed as an integration of the contact pressure force that acts along the perimeter of an associated momentum control-volume. A pair of new schemes are developed by exploring different control-volume geometries. Non-linearities in the underlying equation-of-state definitions and thermodynamic profiles are treated using a high-order accurate numerical integration framework, designed to preserve hydrostatic balance in a non-linear manner. Numerical experiments show that the new methods achieve high levels of consistency, maintaining hydrostatic and thermobaric equilibrium in the presence of strongly-sloping layer geometries, non-linear equations-of-state and non-uniform vertical stratification profiles. These results suggest that the new pressure gradient formulations may be appropriate for general circulation models that employ hybrid vertical coordinates and/or terrain-following representations. |
| first_indexed | 2024-09-23T11:34:09Z |
| format | Article |
| id | mit-1721.1/135564 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:34:09Z |
| publishDate | 2021 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1355642021-10-28T04:14:40Z High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models Engwirda, Darren Kelley, Maxwell Marshall, John © 2017 Elsevier Ltd Discretisation of the horizontal pressure gradient force in layered ocean models is a challenging task, with non-trivial interactions between the thermodynamics of the fluid and the geometry of the layers often leading to numerical difficulties. We present two new finite-volume schemes for the pressure gradient operator designed to address these issues. In each case, the horizontal acceleration is computed as an integration of the contact pressure force that acts along the perimeter of an associated momentum control-volume. A pair of new schemes are developed by exploring different control-volume geometries. Non-linearities in the underlying equation-of-state definitions and thermodynamic profiles are treated using a high-order accurate numerical integration framework, designed to preserve hydrostatic balance in a non-linear manner. Numerical experiments show that the new methods achieve high levels of consistency, maintaining hydrostatic and thermobaric equilibrium in the presence of strongly-sloping layer geometries, non-linear equations-of-state and non-uniform vertical stratification profiles. These results suggest that the new pressure gradient formulations may be appropriate for general circulation models that employ hybrid vertical coordinates and/or terrain-following representations. 2021-10-27T20:24:02Z 2021-10-27T20:24:02Z 2017 2019-09-23T11:39:19Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135564 en 10.1016/J.OCEMOD.2017.05.003 Ocean Modelling Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Engwirda, Darren Kelley, Maxwell Marshall, John High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title | High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title_full | High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title_fullStr | High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title_full_unstemmed | High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title_short | High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models |
| title_sort | high order accurate finite volume formulations for the pressure gradient force in layered ocean models |
| url | https://hdl.handle.net/1721.1/135564 |
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