A comparison of empirical orthogonal decomposition methods in baroclinic flows
The relative merits of three contrasting empirical orthogonal decomposition methods in common use (namely, Proper Orthogonal Decomposition, Biorthogonal Decomposition and Multivariate Singular Systems Analysis) are considered as applied to baroclinic flow data. The regimes analysed are a steady, dri...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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1998
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| _version_ | 1826290072500043776 |
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| author | Stephen, A Moroz, I Read, P Fruh, W |
| author_facet | Stephen, A Moroz, I Read, P Fruh, W |
| author_sort | Stephen, A |
| collection | OXFORD |
| description | The relative merits of three contrasting empirical orthogonal decomposition methods in common use (namely, Proper Orthogonal Decomposition, Biorthogonal Decomposition and Multivariate Singular Systems Analysis) are considered as applied to baroclinic flow data. The regimes analysed are a steady, drifting wave, a modulated amplitude vacillating wave flow and a neighbouring multi-mode state which exhibits intermittency. The results are used to make a qualitative comparison of the methods in terms of convergence properties, variance capture and eigenfunction structure. The feasibility of using the resulting empirical orthogonal functions to transform partial differential equations to ordinary differential equations by Galerkin projection is mentioned. © 1997 Elsevier Science B.V. |
| first_indexed | 2024-03-07T02:38:36Z |
| format | Journal article |
| id | oxford-uuid:a9a6788c-5682-4b01-82bb-f5f0a86b6347 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:38:36Z |
| publishDate | 1998 |
| record_format | dspace |
| spelling | oxford-uuid:a9a6788c-5682-4b01-82bb-f5f0a86b63472022-03-27T03:09:55ZA comparison of empirical orthogonal decomposition methods in baroclinic flowsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a9a6788c-5682-4b01-82bb-f5f0a86b6347EnglishSymplectic Elements at Oxford1998Stephen, AMoroz, IRead, PFruh, WThe relative merits of three contrasting empirical orthogonal decomposition methods in common use (namely, Proper Orthogonal Decomposition, Biorthogonal Decomposition and Multivariate Singular Systems Analysis) are considered as applied to baroclinic flow data. The regimes analysed are a steady, drifting wave, a modulated amplitude vacillating wave flow and a neighbouring multi-mode state which exhibits intermittency. The results are used to make a qualitative comparison of the methods in terms of convergence properties, variance capture and eigenfunction structure. The feasibility of using the resulting empirical orthogonal functions to transform partial differential equations to ordinary differential equations by Galerkin projection is mentioned. © 1997 Elsevier Science B.V. |
| spellingShingle | Stephen, A Moroz, I Read, P Fruh, W A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title | A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title_full | A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title_fullStr | A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title_full_unstemmed | A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title_short | A comparison of empirical orthogonal decomposition methods in baroclinic flows |
| title_sort | comparison of empirical orthogonal decomposition methods in baroclinic flows |
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