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Implementation of the Vector Vorticity Dynamical Core on Cubed Sphere for Use in the Quasi‐3‐D Multiscale Modeling Framework
The dynamical core that predicts the three‐dimensional vorticity rather than the momentum, which is called Vector‐Vorticity Model (VVM), is implemented on a cubed sphere. Its horizontal coordinate system is not restricted to orthogonal, while the vertical coordinate is orthogonal to the horizontal s...
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Published in: | Journal of advances in modeling earth systems 2019-03, Vol.11 (3), p.560-577 |
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description | The dynamical core that predicts the three‐dimensional vorticity rather than the momentum, which is called Vector‐Vorticity Model (VVM), is implemented on a cubed sphere. Its horizontal coordinate system is not restricted to orthogonal, while the vertical coordinate is orthogonal to the horizontal surface. Accordingly, all the governing equations of the VVM, which are originally developed with Cartesian coordinates, are rewritten in terms of general curvilinear coordinates. The local coordinates on each cube surface are constructed with the gnomonic equiangular projection. Using global channel domains, the VVM on the cubed sphere has been evaluated by (1) advecting a passive tracer with a bell‐shaped initial perturbation along an east‐west latitude circle and along a north‐south meridional circle and (2) simulating the evolution of barotropic and baroclinic instabilities. The simulated results with the cubed‐sphere grids are compared to analytic solutions or those with the regular longitude‐latitude grids. The convergence with increasing spatial resolution is also quantified using standard error norms. The comparison shows that the solutions with the cubed‐sphere grids are quite reasonable for both linear and nonlinear problems when high resolutions are used. With coarse resolution, degeneracy appears in the solutions of the nonlinear problems such as spurious wave growth; however, it is effectively reduced with increased resolution. Based on the encouraging results in this study, we intend to use this model as the cloud‐resolving component in a global Quasi‐Three‐Dimensional Multiscale Modeling Framework.
Key Points
The vector vorticity model in Cartesian coordinates has been extended to a curvilinear coordinate system for use in the global Q3D MMF
The model is evaluated with selected test cases: advection of a cosine bell and the evolution of barotropic and baroclinic waves
The test results show that the model produces reasonable solutions for both linear and nonlinear numerical cases |
doi_str_mv | 10.1029/2018MS001517 |
format | article |
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Key Points
The vector vorticity model in Cartesian coordinates has been extended to a curvilinear coordinate system for use in the global Q3D MMF
The model is evaluated with selected test cases: advection of a cosine bell and the evolution of barotropic and baroclinic waves
The test results show that the model produces reasonable solutions for both linear and nonlinear numerical cases</description><identifier>ISSN: 1942-2466</identifier><identifier>EISSN: 1942-2466</identifier><identifier>DOI: 10.1029/2018MS001517</identifier><language>eng</language><publisher>Washington: John Wiley & Sons, Inc</publisher><subject>Barotropic mode ; Boundary conditions ; Coordinate systems ; ENVIRONMENTAL SCIENCES ; global Q3D MMF ; Gravitational waves ; Gravity ; Latitude ; Meteorology & Atmospheric Sciences ; Modelling ; Momentum ; Precipitation ; Resolution ; Simulation ; superparameterization ; Topography ; Tracers ; vector vorticity model on cubed sphere ; Vorticity</subject><ispartof>Journal of advances in modeling earth systems, 2019-03, Vol.11 (3), p.560-577</ispartof><rights>2019. The Authors.</rights><rights>2019. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3729-5bd1b0a740ea82b3829bba9f3dc9ba3738e4510a8be9d6c558f725277c2bce433</citedby><cites>FETCH-LOGICAL-c3729-5bd1b0a740ea82b3829bba9f3dc9ba3738e4510a8be9d6c558f725277c2bce433</cites><orcidid>0000-0001-6935-4112 ; 0000-0002-6426-8327 ; 0000-0003-2051-7659 ; 0000000169354112 ; 0000000264268327 ; 0000000320517659</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2290263815/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2290263815?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,885,11562,25753,27924,27925,37012,44590,46052,46476,75126</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/1497424$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Jung, Joon‐Hee</creatorcontrib><creatorcontrib>Konor, Celal S.</creatorcontrib><creatorcontrib>Randall, David</creatorcontrib><creatorcontrib>Colorado State Univ., Fort Collins, CO (United States)</creatorcontrib><title>Implementation of the Vector Vorticity Dynamical Core on Cubed Sphere for Use in the Quasi‐3‐D Multiscale Modeling Framework</title><title>Journal of advances in modeling earth systems</title><description>The dynamical core that predicts the three‐dimensional vorticity rather than the momentum, which is called Vector‐Vorticity Model (VVM), is implemented on a cubed sphere. Its horizontal coordinate system is not restricted to orthogonal, while the vertical coordinate is orthogonal to the horizontal surface. Accordingly, all the governing equations of the VVM, which are originally developed with Cartesian coordinates, are rewritten in terms of general curvilinear coordinates. The local coordinates on each cube surface are constructed with the gnomonic equiangular projection. Using global channel domains, the VVM on the cubed sphere has been evaluated by (1) advecting a passive tracer with a bell‐shaped initial perturbation along an east‐west latitude circle and along a north‐south meridional circle and (2) simulating the evolution of barotropic and baroclinic instabilities. The simulated results with the cubed‐sphere grids are compared to analytic solutions or those with the regular longitude‐latitude grids. The convergence with increasing spatial resolution is also quantified using standard error norms. The comparison shows that the solutions with the cubed‐sphere grids are quite reasonable for both linear and nonlinear problems when high resolutions are used. With coarse resolution, degeneracy appears in the solutions of the nonlinear problems such as spurious wave growth; however, it is effectively reduced with increased resolution. Based on the encouraging results in this study, we intend to use this model as the cloud‐resolving component in a global Quasi‐Three‐Dimensional Multiscale Modeling Framework.
Key Points
The vector vorticity model in Cartesian coordinates has been extended to a curvilinear coordinate system for use in the global Q3D MMF
The model is evaluated with selected test cases: advection of a cosine bell and the evolution of barotropic and baroclinic waves
The test results show that the model produces reasonable solutions for both linear and nonlinear numerical cases</description><subject>Barotropic mode</subject><subject>Boundary conditions</subject><subject>Coordinate systems</subject><subject>ENVIRONMENTAL SCIENCES</subject><subject>global Q3D MMF</subject><subject>Gravitational waves</subject><subject>Gravity</subject><subject>Latitude</subject><subject>Meteorology & Atmospheric Sciences</subject><subject>Modelling</subject><subject>Momentum</subject><subject>Precipitation</subject><subject>Resolution</subject><subject>Simulation</subject><subject>superparameterization</subject><subject>Topography</subject><subject>Tracers</subject><subject>vector vorticity model on cubed sphere</subject><subject>Vorticity</subject><issn>1942-2466</issn><issn>1942-2466</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>24P</sourceid><sourceid>PIMPY</sourceid><recordid>eNp90UtLAzEQAOBFFKyPmz8g6NVqHvvKUeqr0iKi9hqS7KyN7m5qkkV660_wN_pLjNZDTx7CZOCbYYZJkiOCzwim_JxiUk4fMSYZKbaSAeEpHdI0z7c3_rvJnvevGOd5TrNBshq3iwZa6IIMxnbI1ijMAc1AB-vQzLpgtAlLdLnsZGu0bNDIOkBRjnoFFXpczCHmdcTPHpDpfssfeunN1-qTxXeJpn0TjI-1gKa2gsZ0L-jayRY-rHs7SHZq2Xg4_Iv7yfP11dPodji5vxmPLiZDzQrKh5mqiMKySDHIkipWUq6U5DWrNFeSFayENCNYlgp4lessK-uCZrQoNFUaUsb2k-N1X-uDET4uBXqubdfFTQVJeZHSNKKTNVo4-96DD-LV9q6LcwlKOaY5K0kW1elaaWe9d1CLhTOtdEtBsPg5hNg8RORszT9MA8t_rbi7mF5RXDLOvgGQrItx</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Jung, Joon‐Hee</creator><creator>Konor, Celal S.</creator><creator>Randall, David</creator><general>John Wiley & Sons, Inc</general><general>American Geophysical Union (AGU)</general><scope>24P</scope><scope>WIN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>L.G</scope><scope>PCBAR</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0001-6935-4112</orcidid><orcidid>https://orcid.org/0000-0002-6426-8327</orcidid><orcidid>https://orcid.org/0000-0003-2051-7659</orcidid><orcidid>https://orcid.org/0000000169354112</orcidid><orcidid>https://orcid.org/0000000264268327</orcidid><orcidid>https://orcid.org/0000000320517659</orcidid></search><sort><creationdate>201903</creationdate><title>Implementation of the Vector Vorticity Dynamical Core on Cubed Sphere for Use in the Quasi‐3‐D Multiscale Modeling Framework</title><author>Jung, Joon‐Hee ; Konor, Celal S. ; Randall, David</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3729-5bd1b0a740ea82b3829bba9f3dc9ba3738e4510a8be9d6c558f725277c2bce433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Barotropic mode</topic><topic>Boundary conditions</topic><topic>Coordinate systems</topic><topic>ENVIRONMENTAL SCIENCES</topic><topic>global Q3D MMF</topic><topic>Gravitational waves</topic><topic>Gravity</topic><topic>Latitude</topic><topic>Meteorology & Atmospheric Sciences</topic><topic>Modelling</topic><topic>Momentum</topic><topic>Precipitation</topic><topic>Resolution</topic><topic>Simulation</topic><topic>superparameterization</topic><topic>Topography</topic><topic>Tracers</topic><topic>vector vorticity model on cubed sphere</topic><topic>Vorticity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jung, Joon‐Hee</creatorcontrib><creatorcontrib>Konor, Celal S.</creatorcontrib><creatorcontrib>Randall, David</creatorcontrib><creatorcontrib>Colorado State Univ., Fort Collins, CO (United States)</creatorcontrib><collection>Wiley Online Library Open Access</collection><collection>Wiley Free Content</collection><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>OSTI.GOV</collection><jtitle>Journal of advances in modeling earth systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jung, Joon‐Hee</au><au>Konor, Celal S.</au><au>Randall, David</au><aucorp>Colorado State Univ., Fort Collins, CO (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Implementation of the Vector Vorticity Dynamical Core on Cubed Sphere for Use in the Quasi‐3‐D Multiscale Modeling Framework</atitle><jtitle>Journal of advances in modeling earth systems</jtitle><date>2019-03</date><risdate>2019</risdate><volume>11</volume><issue>3</issue><spage>560</spage><epage>577</epage><pages>560-577</pages><issn>1942-2466</issn><eissn>1942-2466</eissn><abstract>The dynamical core that predicts the three‐dimensional vorticity rather than the momentum, which is called Vector‐Vorticity Model (VVM), is implemented on a cubed sphere. Its horizontal coordinate system is not restricted to orthogonal, while the vertical coordinate is orthogonal to the horizontal surface. Accordingly, all the governing equations of the VVM, which are originally developed with Cartesian coordinates, are rewritten in terms of general curvilinear coordinates. The local coordinates on each cube surface are constructed with the gnomonic equiangular projection. Using global channel domains, the VVM on the cubed sphere has been evaluated by (1) advecting a passive tracer with a bell‐shaped initial perturbation along an east‐west latitude circle and along a north‐south meridional circle and (2) simulating the evolution of barotropic and baroclinic instabilities. The simulated results with the cubed‐sphere grids are compared to analytic solutions or those with the regular longitude‐latitude grids. The convergence with increasing spatial resolution is also quantified using standard error norms. The comparison shows that the solutions with the cubed‐sphere grids are quite reasonable for both linear and nonlinear problems when high resolutions are used. With coarse resolution, degeneracy appears in the solutions of the nonlinear problems such as spurious wave growth; however, it is effectively reduced with increased resolution. Based on the encouraging results in this study, we intend to use this model as the cloud‐resolving component in a global Quasi‐Three‐Dimensional Multiscale Modeling Framework.
Key Points
The vector vorticity model in Cartesian coordinates has been extended to a curvilinear coordinate system for use in the global Q3D MMF
The model is evaluated with selected test cases: advection of a cosine bell and the evolution of barotropic and baroclinic waves
The test results show that the model produces reasonable solutions for both linear and nonlinear numerical cases</abstract><cop>Washington</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1029/2018MS001517</doi><tpages>18</tpages><orcidid>https://orcid.org/0000-0001-6935-4112</orcidid><orcidid>https://orcid.org/0000-0002-6426-8327</orcidid><orcidid>https://orcid.org/0000-0003-2051-7659</orcidid><orcidid>https://orcid.org/0000000169354112</orcidid><orcidid>https://orcid.org/0000000264268327</orcidid><orcidid>https://orcid.org/0000000320517659</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Barotropic mode Boundary conditions Coordinate systems ENVIRONMENTAL SCIENCES global Q3D MMF Gravitational waves Gravity Latitude Meteorology & Atmospheric Sciences Modelling Momentum Precipitation Resolution Simulation superparameterization Topography Tracers vector vorticity model on cubed sphere Vorticity |
title | Implementation of the Vector Vorticity Dynamical Core on Cubed Sphere for Use in the Quasi‐3‐D Multiscale Modeling Framework |
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