The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model
A recent class of ocean eddy parameterizations proposed by Porta Mana and Zanna (2014) and Anstey and Zanna (2017) modeled the large-scale flow as a non-Newtonian fluid whose subgridscale eddy stress is a nonlinear function of the deformation. This idea, while largely new to ocean modeling, has a hi...
| Main Authors: | , , |
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| Format: | Journal article |
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Elsevier
2018
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| _version_ | 1797072790161981440 |
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| author | Bachman, S Anstey, J Zanna, L |
| author_facet | Bachman, S Anstey, J Zanna, L |
| author_sort | Bachman, S |
| collection | OXFORD |
| description | A recent class of ocean eddy parameterizations proposed by Porta Mana and Zanna (2014) and Anstey and Zanna (2017) modeled the large-scale flow as a non-Newtonian fluid whose subgridscale eddy stress is a nonlinear function of the deformation. This idea, while largely new to ocean modeling, has a history in turbulence modeling dating at least back to Rivlin (1957). The new class of parameterizations results in equations that resemble the Lagrangian-averaged Navier–Stokes-α model (LANS-α, e.g., Holm et al., 1998a). In this note we employ basic tensor mathematics to highlight the similarities between these turbulence models using component-free notation. We extend the Anstey and Zanna (2017) parameterization, which was originally presented in 2D, to 3D, and derive variants of this closure that arise when the full non-Newtonian stress tensor is used. Despite the mathematical similarities between the non-Newtonian and LANS-α models which might provide insight into numerical implementation, the input and dissipation of kinetic energy between these two turbulent models differ. |
| first_indexed | 2024-03-06T23:12:46Z |
| format | Journal article |
| id | oxford-uuid:660f581a-4880-4deb-b388-0c1256fcc6fe |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:12:46Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:660f581a-4880-4deb-b388-0c1256fcc6fe2022-03-26T18:29:31ZThe relationship between a deformation-based eddy parameterization and the LANS-α turbulence modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:660f581a-4880-4deb-b388-0c1256fcc6feSymplectic Elements at OxfordElsevier2018Bachman, SAnstey, JZanna, LA recent class of ocean eddy parameterizations proposed by Porta Mana and Zanna (2014) and Anstey and Zanna (2017) modeled the large-scale flow as a non-Newtonian fluid whose subgridscale eddy stress is a nonlinear function of the deformation. This idea, while largely new to ocean modeling, has a history in turbulence modeling dating at least back to Rivlin (1957). The new class of parameterizations results in equations that resemble the Lagrangian-averaged Navier–Stokes-α model (LANS-α, e.g., Holm et al., 1998a). In this note we employ basic tensor mathematics to highlight the similarities between these turbulence models using component-free notation. We extend the Anstey and Zanna (2017) parameterization, which was originally presented in 2D, to 3D, and derive variants of this closure that arise when the full non-Newtonian stress tensor is used. Despite the mathematical similarities between the non-Newtonian and LANS-α models which might provide insight into numerical implementation, the input and dissipation of kinetic energy between these two turbulent models differ. |
| spellingShingle | Bachman, S Anstey, J Zanna, L The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title | The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title_full | The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title_fullStr | The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title_full_unstemmed | The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title_short | The relationship between a deformation-based eddy parameterization and the LANS-α turbulence model |
| title_sort | relationship between a deformation based eddy parameterization and the lans α turbulence model |
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