A stochastic model for the turbulent ocean heat flux under Arctic sea ice
Heat flux from the upper ocean to the underside of sea ice provides a key contribution to the evolution of the Arctic sea ice cover. Here, we develop a model of the turbulent ice-ocean heat flux using coupled ordinary stochastic differential equations to model fluctuations in the vertical velocity a...
| Main Authors: | , |
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| Format: | Internet publication |
| Language: | English |
| Published: |
2021
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| _version_ | 1797096864990887936 |
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| author | Toppaladoddi, S Wells, AJ |
| author_facet | Toppaladoddi, S Wells, AJ |
| author_sort | Toppaladoddi, S |
| collection | OXFORD |
| description | Heat flux from the upper ocean to the underside of sea ice provides a key contribution to the evolution of the Arctic sea ice cover. Here, we develop a model of the turbulent ice-ocean heat flux using coupled ordinary stochastic differential equations to model fluctuations in the vertical velocity and temperature in the Arctic mixed layer. All the parameters in the model are determined from observational data. A detailed comparison between the model results and measurements made during the Surface Heat Budget of the Arctic Ocean (SHEBA) project reveals that the model is able to capture the probability density functions (PDFs) of velocity, temperature and heat flux fluctuations. Furthermore, we show that the temperature in the upper layer of the Arctic ocean can be treated as a passive scalar during the whole year of SHEBA measurements. The stochastic model developed here provides a computationally inexpensive way to compute observationally consistent PDF of this heat flux, and has implications for its parametrization in regional and global climate models. |
| first_indexed | 2024-03-07T04:47:37Z |
| format | Internet publication |
| id | oxford-uuid:d3dc9db6-7d50-4a92-8cd1-03a7422705ac |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:47:37Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | oxford-uuid:d3dc9db6-7d50-4a92-8cd1-03a7422705ac2022-03-27T08:14:10ZA stochastic model for the turbulent ocean heat flux under Arctic sea iceInternet publicationhttp://purl.org/coar/resource_type/c_7ad9uuid:d3dc9db6-7d50-4a92-8cd1-03a7422705acEnglishSymplectic Elements2021Toppaladoddi, SWells, AJHeat flux from the upper ocean to the underside of sea ice provides a key contribution to the evolution of the Arctic sea ice cover. Here, we develop a model of the turbulent ice-ocean heat flux using coupled ordinary stochastic differential equations to model fluctuations in the vertical velocity and temperature in the Arctic mixed layer. All the parameters in the model are determined from observational data. A detailed comparison between the model results and measurements made during the Surface Heat Budget of the Arctic Ocean (SHEBA) project reveals that the model is able to capture the probability density functions (PDFs) of velocity, temperature and heat flux fluctuations. Furthermore, we show that the temperature in the upper layer of the Arctic ocean can be treated as a passive scalar during the whole year of SHEBA measurements. The stochastic model developed here provides a computationally inexpensive way to compute observationally consistent PDF of this heat flux, and has implications for its parametrization in regional and global climate models. |
| spellingShingle | Toppaladoddi, S Wells, AJ A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title | A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title_full | A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title_fullStr | A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title_full_unstemmed | A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title_short | A stochastic model for the turbulent ocean heat flux under Arctic sea ice |
| title_sort | stochastic model for the turbulent ocean heat flux under arctic sea ice |
| work_keys_str_mv | AT toppaladoddis astochasticmodelfortheturbulentoceanheatfluxunderarcticseaice AT wellsaj astochasticmodelfortheturbulentoceanheatfluxunderarcticseaice AT toppaladoddis stochasticmodelfortheturbulentoceanheatfluxunderarcticseaice AT wellsaj stochasticmodelfortheturbulentoceanheatfluxunderarcticseaice |