A consideration of tracer advection schemes in a primitive equation ocean model
We consider several tracer advection schemes in the context of a simple sector configuration of a Bryan‐Cox‐Semtner type ocean model. The schemes are centered‐in‐time centered‐in‐space, donor cell upwind differencing, flux corrected transport (FCT), QUICKEST and MPDATA. While we discuss the transpor...
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Veröffentlicht in: | Journal of Geophysical Research 1998-02, Vol.103 (C2), p.3301-3321 |
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description | We consider several tracer advection schemes in the context of a simple sector configuration of a Bryan‐Cox‐Semtner type ocean model. The schemes are centered‐in‐time centered‐in‐space, donor cell upwind differencing, flux corrected transport (FCT), QUICKEST and MPDATA. While we discuss the transport of temperature and salinity, and apply alternative schemes to this transport within our model, we concentrate primarily on a problem which involves passive tracer advection in which vertical gradients are high and concentrations asymptote to zero near the sea surface, as is the case in biogeochemical ocean modeling. We find that flux correction (available optionally with the MPDATA scheme, as well as the FCT scheme) is required in order to produce acceptable results on this challenging problem. A method of supercycling of passive tracers relative to dynamic variables, whereby the time step for passive tracers is larger that that used for the other prognostic variables of the model, is introduced in order to apply these more expensive flux limited schemes efficiently. We also present a general method for the second‐order accurate application of one‐dimensional forward‐in‐time advection schemes in three dimensions. |
doi_str_mv | 10.1029/97JC03198 |
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A method of supercycling of passive tracers relative to dynamic variables, whereby the time step for passive tracers is larger that that used for the other prognostic variables of the model, is introduced in order to apply these more expensive flux limited schemes efficiently. 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W.</creatorcontrib><creatorcontrib>Bryan, F. O.</creatorcontrib><creatorcontrib>Holland, W. R.</creatorcontrib><title>A consideration of tracer advection schemes in a primitive equation ocean model</title><title>Journal of Geophysical Research</title><addtitle>J. Geophys. Res</addtitle><description>We consider several tracer advection schemes in the context of a simple sector configuration of a Bryan‐Cox‐Semtner type ocean model. The schemes are centered‐in‐time centered‐in‐space, donor cell upwind differencing, flux corrected transport (FCT), QUICKEST and MPDATA. While we discuss the transport of temperature and salinity, and apply alternative schemes to this transport within our model, we concentrate primarily on a problem which involves passive tracer advection in which vertical gradients are high and concentrations asymptote to zero near the sea surface, as is the case in biogeochemical ocean modeling. We find that flux correction (available optionally with the MPDATA scheme, as well as the FCT scheme) is required in order to produce acceptable results on this challenging problem. A method of supercycling of passive tracers relative to dynamic variables, whereby the time step for passive tracers is larger that that used for the other prognostic variables of the model, is introduced in order to apply these more expensive flux limited schemes efficiently. We also present a general method for the second‐order accurate application of one‐dimensional forward‐in‐time advection schemes in three dimensions.</description><subject>Dynamics of the ocean (upper and deep oceans)</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>External geophysics</subject><subject>Marine</subject><subject>Physics of the oceans</subject><issn>0148-0227</issn><issn>2169-9275</issn><issn>2156-2202</issn><issn>2169-9291</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><recordid>eNqFkU1rFEEQhhtRcIk5-A_6IKKHSar6u49hMWtCSCBGPDa9vTXYOjuTdM9G8--ddZe9aepSUDzPS1HF2FuEEwThT729nINE716wmUBtGiFAvGQzQOUaEMK-Zse1_oCplDYKcMZuznga-ppXVOKYh54PLR9LTFR4XD1S-jur6TutqfLc88jvS17nMT8Sp4fN3kkUe74eVtS9Ya_a2FU63vcj9vX80938c3N1s7iYn101SXmtG6upBbRiqZSToPwSnAMUaCPotGzF1IyLLa4SqojKkgcJFh0tJWxVecTe73Lvy_CwoTqGda6Jui72NGxqEFYZ4bSfwA__BdGj91o6MM9mokO0RsrnQaOlElZM4McdmMpQa6E2bK8Xy1NACNuXhcPLJvbdPjTWFLu2xD7lehAEGpj2nLDTHfYrd_T077xwubidW6H1ZDQ7I9eRfh-MWH4GY6XV4dv1ItzpxRe8vpXByz_fka91</recordid><startdate>19980215</startdate><enddate>19980215</enddate><creator>Hecht, M. 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R.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Oceanic Abstracts</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of Geophysical Research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hecht, M. W.</au><au>Bryan, F. O.</au><au>Holland, W. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A consideration of tracer advection schemes in a primitive equation ocean model</atitle><jtitle>Journal of Geophysical Research</jtitle><addtitle>J. Geophys. Res</addtitle><date>1998-02-15</date><risdate>1998</risdate><volume>103</volume><issue>C2</issue><spage>3301</spage><epage>3321</epage><pages>3301-3321</pages><issn>0148-0227</issn><issn>2169-9275</issn><eissn>2156-2202</eissn><eissn>2169-9291</eissn><abstract>We consider several tracer advection schemes in the context of a simple sector configuration of a Bryan‐Cox‐Semtner type ocean model. The schemes are centered‐in‐time centered‐in‐space, donor cell upwind differencing, flux corrected transport (FCT), QUICKEST and MPDATA. While we discuss the transport of temperature and salinity, and apply alternative schemes to this transport within our model, we concentrate primarily on a problem which involves passive tracer advection in which vertical gradients are high and concentrations asymptote to zero near the sea surface, as is the case in biogeochemical ocean modeling. We find that flux correction (available optionally with the MPDATA scheme, as well as the FCT scheme) is required in order to produce acceptable results on this challenging problem. A method of supercycling of passive tracers relative to dynamic variables, whereby the time step for passive tracers is larger that that used for the other prognostic variables of the model, is introduced in order to apply these more expensive flux limited schemes efficiently. We also present a general method for the second‐order accurate application of one‐dimensional forward‐in‐time advection schemes in three dimensions.</abstract><cop>Washington, DC</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1029/97JC03198</doi><tpages>21</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Dynamics of the ocean (upper and deep oceans) Earth, ocean, space Exact sciences and technology External geophysics Marine Physics of the oceans |
title | A consideration of tracer advection schemes in a primitive equation ocean model |
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