POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment
The Proper Orthogonal Decomposition (POD) is a procedure to compute an orthogonal basis from a time series of spatial fields. This basis is optimal among all linear decompositions, in the sense that for a given number of modes, the projection of the original signal onto the subspace will contain the...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
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1999
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_version_ | 1826288447693783040 |
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author | Stephen, A Moroz, I Read, P |
author_facet | Stephen, A Moroz, I Read, P |
author_sort | Stephen, A |
collection | OXFORD |
description | The Proper Orthogonal Decomposition (POD) is a procedure to compute an orthogonal basis from a time series of spatial fields. This basis is optimal among all linear decompositions, in the sense that for a given number of modes, the projection of the original signal onto the subspace will contain the most variance on average. This algorithm is applied to streamfunction fields derived from measurements of the flow in the thermally forced rotating annulus experiment. Results of this analysis are presented, and a method to derive low-dimensional models of the flow by projecting the equations of motion onto these empirical eigenfunctions is discussed. |
first_indexed | 2024-03-07T02:13:50Z |
format | Journal article |
id | oxford-uuid:a18e62a1-1291-4795-9f59-e79b86a99b0e |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:13:50Z |
publishDate | 1999 |
record_format | dspace |
spelling | oxford-uuid:a18e62a1-1291-4795-9f59-e79b86a99b0e2022-03-27T02:14:02ZPOD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experimentJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a18e62a1-1291-4795-9f59-e79b86a99b0eEnglishSymplectic Elements at Oxford1999Stephen, AMoroz, IRead, PThe Proper Orthogonal Decomposition (POD) is a procedure to compute an orthogonal basis from a time series of spatial fields. This basis is optimal among all linear decompositions, in the sense that for a given number of modes, the projection of the original signal onto the subspace will contain the most variance on average. This algorithm is applied to streamfunction fields derived from measurements of the flow in the thermally forced rotating annulus experiment. Results of this analysis are presented, and a method to derive low-dimensional models of the flow by projecting the equations of motion onto these empirical eigenfunctions is discussed. |
spellingShingle | Stephen, A Moroz, I Read, P POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title | POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title_full | POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title_fullStr | POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title_full_unstemmed | POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title_short | POD analysis of baroclinic wave flows in the thermally-driven, rotating annulus experiment |
title_sort | pod analysis of baroclinic wave flows in the thermally driven rotating annulus experiment |
work_keys_str_mv | AT stephena podanalysisofbaroclinicwaveflowsinthethermallydrivenrotatingannulusexperiment AT morozi podanalysisofbaroclinicwaveflowsinthethermallydrivenrotatingannulusexperiment AT readp podanalysisofbaroclinicwaveflowsinthethermallydrivenrotatingannulusexperiment |