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...

Full description

Bibliographic Details
Main Authors: Stephen, A, Moroz, I, Read, P
Format: Journal article
Language:English
Published: 1999
_version_ 1826288447693783040
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