Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model
The linearity of a selection of common advection schemes is tested and examined with a view to their use in the tangent linear and adjoint versions of an atmospheric general circulation model. The schemes are tested within a simple offline one-dimensional periodic domain as well as using a simplifie...
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| Format: | Article |
| Language: | English |
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Stockholm University Press
2015-09-01
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| Series: | Tellus: Series A, Dynamic Meteorology and Oceanography |
| Subjects: | |
| Online Access: | http://www.tellusa.net/index.php/tellusa/article/view/27895/pdf_53 |
| _version_ | 1818041124837654528 |
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| author | Daniel Holdaway James Kent |
| author_facet | Daniel Holdaway James Kent |
| author_sort | Daniel Holdaway |
| collection | DOAJ |
| description | The linearity of a selection of common advection schemes is tested and examined with a view to their use in the tangent linear and adjoint versions of an atmospheric general circulation model. The schemes are tested within a simple offline one-dimensional periodic domain as well as using a simplified and complete configuration of the linearised version of NASA's Goddard Earth Observing System version 5 (GEOS-5). All schemes which prevent the development of negative values and preserve the shape of the solution are confirmed to have non-linear behaviour. The piecewise parabolic method (PPM) with certain flux limiters, including that used by default in GEOS-5, is found to support linear growth near the shocks. This property can cause the rapid development of unrealistically large perturbations within the tangent linear and adjoint models. It is shown that these schemes with flux limiters should not be used within the linearised version of a transport scheme. The results from tests using GEOS-5 show that the current default scheme (a version of PPM) is not suitable for the tangent linear and adjoint model, and that using a linear third-order scheme for the linearised model produces better behaviour. Using the third-order scheme for the linearised model improves the correlations between the linear and non-linear perturbation trajectories for cloud liquid water and cloud liquid ice in GEOS-5. |
| first_indexed | 2024-12-10T08:25:26Z |
| format | Article |
| id | doaj.art-2e26073b6c034432a84bb0876efe0f4f |
| institution | Directory Open Access Journal |
| issn | 1600-0870 |
| language | English |
| last_indexed | 2024-12-10T08:25:26Z |
| publishDate | 2015-09-01 |
| publisher | Stockholm University Press |
| record_format | Article |
| series | Tellus: Series A, Dynamic Meteorology and Oceanography |
| spelling | doaj.art-2e26073b6c034432a84bb0876efe0f4f2022-12-22T01:56:14ZengStockholm University PressTellus: Series A, Dynamic Meteorology and Oceanography1600-08702015-09-0167011710.3402/tellusa.v67.2789527895Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation modelDaniel Holdaway0James Kent1Global Modeling and Assimilation Office, NASA Goddard Space Flight Center, Greenbelt, MD, USAComputing and Mathematics, University of South Wales, Pontypridd, UKThe linearity of a selection of common advection schemes is tested and examined with a view to their use in the tangent linear and adjoint versions of an atmospheric general circulation model. The schemes are tested within a simple offline one-dimensional periodic domain as well as using a simplified and complete configuration of the linearised version of NASA's Goddard Earth Observing System version 5 (GEOS-5). All schemes which prevent the development of negative values and preserve the shape of the solution are confirmed to have non-linear behaviour. The piecewise parabolic method (PPM) with certain flux limiters, including that used by default in GEOS-5, is found to support linear growth near the shocks. This property can cause the rapid development of unrealistically large perturbations within the tangent linear and adjoint models. It is shown that these schemes with flux limiters should not be used within the linearised version of a transport scheme. The results from tests using GEOS-5 show that the current default scheme (a version of PPM) is not suitable for the tangent linear and adjoint model, and that using a linear third-order scheme for the linearised model produces better behaviour. Using the third-order scheme for the linearised model improves the correlations between the linear and non-linear perturbation trajectories for cloud liquid water and cloud liquid ice in GEOS-5.http://www.tellusa.net/index.php/tellusa/article/view/27895/pdf_53Meteorologydynamicsadjointdata assimilationtangent linear modeladvectiontransport |
| spellingShingle | Daniel Holdaway James Kent Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model Tellus: Series A, Dynamic Meteorology and Oceanography Meteorology dynamics adjoint data assimilation tangent linear model advection transport |
| title | Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| title_full | Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| title_fullStr | Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| title_full_unstemmed | Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| title_short | Assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| title_sort | assessing the tangent linear behaviour of common tracer transport schemes and their use in a linearised atmospheric general circulation model |
| topic | Meteorology dynamics adjoint data assimilation tangent linear model advection transport |
| url | http://www.tellusa.net/index.php/tellusa/article/view/27895/pdf_53 |
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