A two-time-level split-explicit ocean circulation model (MASNUM) and its validation
A two-time-level, three-dimensional numerical ocean circulation model (named MASNUM) was established with a two-level, single-step Eulerian forward-backward time-differencing scheme. A mathematical model of large-scale oceanic motions was based on the terrain-following coordinated, Boussinesq, Reyno...
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ftchinacasciocas:oai:ir.qdio.ac.cn:337002/23907 2023-05-15T15:12:11+02:00 A two-time-level split-explicit ocean circulation model (MASNUM) and its validation Han Lei Han, L (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China. 2014-11-01 http://ir.qdio.ac.cn/handle/337002/23907 https://doi.org/10.1007/s13131-014-0553-z 英语 eng ACTA OCEANOLOGICA SINICA http://ir.qdio.ac.cn/handle/337002/23907 doi:10.1007/s13131-014-0553-z cn.org.cspace.api.content.CopyrightPolicy@1602b380 Ocean Circulation Model Forward-backward Method Equatorial Rossby Soliton Yellow Sea Cold Water Mass Oceanography Article 期刊论文 2014 ftchinacasciocas https://doi.org/10.1007/s13131-014-0553-z 2022-06-27T05:36:40Z A two-time-level, three-dimensional numerical ocean circulation model (named MASNUM) was established with a two-level, single-step Eulerian forward-backward time-differencing scheme. A mathematical model of large-scale oceanic motions was based on the terrain-following coordinated, Boussinesq, Reynolds-averaged primitive equations of ocean dynamics. A simple but very practical Eulerian forward-backward method was adopted to replace the most preferred leapfrog scheme as the time-differencing method for both barotropic and baroclinic modes. The forward-backward method is of second-order of accuracy, computationally efficient by requiring only one function evaluation per time step, and free of the computational mode inherent in the three-level schemes. This method is superior to the leapfrog scheme in that the maximum time step of stability is twice as large as that of the leapfrog scheme in staggered meshes thus the computational efficiency could be doubled. A spatial smoothing method was introduced to control the nonlinear instability in the numerical integration. An ideal numerical experiment simulating the propagation of the equatorial Rossby soliton was performed to test the amplitude and phase error of this new model. The performance of this circulation model was further verified with a regional (northwest Pacific) and a quasi-global (global ocean simulation with the Arctic Ocean excluded) simulation experiments. These two numerical experiments show fairly good agreement with the observations. The maximum time step of stability in these two experiments were also investigated and compared between this model and that model which adopts the leapfrog scheme. Article in Journal/Newspaper Arctic Arctic Ocean Institute of Oceanology, Chinese Academy of Sciences: IOCAS-IR Arctic Arctic Ocean Pacific Acta Oceanologica Sinica 33 11 11 35 |
institution |
Open Polar |
collection |
Institute of Oceanology, Chinese Academy of Sciences: IOCAS-IR |
op_collection_id |
ftchinacasciocas |
language |
English |
topic |
Ocean Circulation Model Forward-backward Method Equatorial Rossby Soliton Yellow Sea Cold Water Mass Oceanography |
spellingShingle |
Ocean Circulation Model Forward-backward Method Equatorial Rossby Soliton Yellow Sea Cold Water Mass Oceanography Han Lei Han, L (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China. A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
topic_facet |
Ocean Circulation Model Forward-backward Method Equatorial Rossby Soliton Yellow Sea Cold Water Mass Oceanography |
description |
A two-time-level, three-dimensional numerical ocean circulation model (named MASNUM) was established with a two-level, single-step Eulerian forward-backward time-differencing scheme. A mathematical model of large-scale oceanic motions was based on the terrain-following coordinated, Boussinesq, Reynolds-averaged primitive equations of ocean dynamics. A simple but very practical Eulerian forward-backward method was adopted to replace the most preferred leapfrog scheme as the time-differencing method for both barotropic and baroclinic modes. The forward-backward method is of second-order of accuracy, computationally efficient by requiring only one function evaluation per time step, and free of the computational mode inherent in the three-level schemes. This method is superior to the leapfrog scheme in that the maximum time step of stability is twice as large as that of the leapfrog scheme in staggered meshes thus the computational efficiency could be doubled. A spatial smoothing method was introduced to control the nonlinear instability in the numerical integration. An ideal numerical experiment simulating the propagation of the equatorial Rossby soliton was performed to test the amplitude and phase error of this new model. The performance of this circulation model was further verified with a regional (northwest Pacific) and a quasi-global (global ocean simulation with the Arctic Ocean excluded) simulation experiments. These two numerical experiments show fairly good agreement with the observations. The maximum time step of stability in these two experiments were also investigated and compared between this model and that model which adopts the leapfrog scheme. |
format |
Article in Journal/Newspaper |
author |
Han Lei Han, L (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China. |
author_facet |
Han Lei Han, L (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China. |
author_sort |
Han Lei |
title |
A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
title_short |
A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
title_full |
A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
title_fullStr |
A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
title_full_unstemmed |
A two-time-level split-explicit ocean circulation model (MASNUM) and its validation |
title_sort |
two-time-level split-explicit ocean circulation model (masnum) and its validation |
publishDate |
2014 |
url |
http://ir.qdio.ac.cn/handle/337002/23907 https://doi.org/10.1007/s13131-014-0553-z |
geographic |
Arctic Arctic Ocean Pacific |
geographic_facet |
Arctic Arctic Ocean Pacific |
genre |
Arctic Arctic Ocean |
genre_facet |
Arctic Arctic Ocean |
op_relation |
ACTA OCEANOLOGICA SINICA http://ir.qdio.ac.cn/handle/337002/23907 doi:10.1007/s13131-014-0553-z |
op_rights |
cn.org.cspace.api.content.CopyrightPolicy@1602b380 |
op_doi |
https://doi.org/10.1007/s13131-014-0553-z |
container_title |
Acta Oceanologica Sinica |
container_volume |
33 |
container_issue |
11 |
container_start_page |
11 |
op_container_end_page |
35 |
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1766342912784728064 |