Adjoint goal-based error norms for adaptive mesh ocean modelling
Flow in the world's oceans occurs at a wide range of spatial scales, from a fraction of a metre up to many thousands of kilometers. In particular, regions of intense flow are often highly localised, for example, western boundary currents, equatorial jets, overflows and convective plumes. Conven...
| Main Authors: | , , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2006
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| _version_ | 1826260394841210880 |
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| author | Power, P Piggott, MD Fang, F Gorman, G Pain, C Marshall, D Goddard, A Navon, I |
| author_facet | Power, P Piggott, MD Fang, F Gorman, G Pain, C Marshall, D Goddard, A Navon, I |
| author_sort | Power, P |
| collection | OXFORD |
| description | Flow in the world's oceans occurs at a wide range of spatial scales, from a fraction of a metre up to many thousands of kilometers. In particular, regions of intense flow are often highly localised, for example, western boundary currents, equatorial jets, overflows and convective plumes. Conventional numerical ocean models generally use static meshes. The use of dynamically-adaptive meshes has many potential advantages but needs to be guided by an error measure reflecting the underlying physics. A method of defining an error measure to guide an adaptive meshing algorithm for unstructured tetrahedral finite elements, utilizing an adjoint or goal-based method, is described here. This method is based upon a functional, encompassing important features of the flow structure. The sensitivity of this functional, with respect to the solution variables, is used as the basis from which an error measure is derived. This error measure acts to predict those areas of the domain where resolution should be changed. A barotropic wind driven gyre problem is used to demonstrate the capabilities of the method. The overall objective of this work is to develop robust error measures for use in an oceanographic context which will ensure areas of fine mesh resolution are used only where and when they are required. © 2006 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-06T19:04:57Z |
| format | Journal article |
| id | oxford-uuid:14cfb0a9-2247-452d-9b43-365306fab7b8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:04:57Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:14cfb0a9-2247-452d-9b43-365306fab7b82022-03-26T10:21:58ZAdjoint goal-based error norms for adaptive mesh ocean modellingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:14cfb0a9-2247-452d-9b43-365306fab7b8EnglishSymplectic Elements at Oxford2006Power, PPiggott, MDFang, FGorman, GPain, CMarshall, DGoddard, ANavon, IFlow in the world's oceans occurs at a wide range of spatial scales, from a fraction of a metre up to many thousands of kilometers. In particular, regions of intense flow are often highly localised, for example, western boundary currents, equatorial jets, overflows and convective plumes. Conventional numerical ocean models generally use static meshes. The use of dynamically-adaptive meshes has many potential advantages but needs to be guided by an error measure reflecting the underlying physics. A method of defining an error measure to guide an adaptive meshing algorithm for unstructured tetrahedral finite elements, utilizing an adjoint or goal-based method, is described here. This method is based upon a functional, encompassing important features of the flow structure. The sensitivity of this functional, with respect to the solution variables, is used as the basis from which an error measure is derived. This error measure acts to predict those areas of the domain where resolution should be changed. A barotropic wind driven gyre problem is used to demonstrate the capabilities of the method. The overall objective of this work is to develop robust error measures for use in an oceanographic context which will ensure areas of fine mesh resolution are used only where and when they are required. © 2006 Elsevier Ltd. All rights reserved. |
| spellingShingle | Power, P Piggott, MD Fang, F Gorman, G Pain, C Marshall, D Goddard, A Navon, I Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title | Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title_full | Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title_fullStr | Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title_full_unstemmed | Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title_short | Adjoint goal-based error norms for adaptive mesh ocean modelling |
| title_sort | adjoint goal based error norms for adaptive mesh ocean modelling |
| work_keys_str_mv | AT powerp adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT piggottmd adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT fangf adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT gormang adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT painc adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT marshalld adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT goddarda adjointgoalbasederrornormsforadaptivemeshoceanmodelling AT navoni adjointgoalbasederrornormsforadaptivemeshoceanmodelling |