Reduced-order representation of stratified wakes by proper orthogonal decomposition utilizing translational symmetry

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dc.contributor.authorHalawa, Basem
dc.contributor.authorXu, Chengzhu
dc.contributor.authorZhou, Qi
dc.date.accessioned2021-09-07T17:54:43Z
dc.date.available2021-09-07T17:54:43Z
dc.date.issued2021-02-11
dc.description.abstractVisualizations of reduced-order representations of stratified wakes of Reynolds number Re∈{5,25,100}×103 are presented at a fixed internal Froude number. The reduced-order representations are constructed by applying proper orthogonal decomposition (POD) to numerical datasets that are high-resolution, three-dimensional and time-dependent. Due to the transient nature of the flow, the dynamics to be represented are highly non-stationary, posing a challenge for the effectiveness of POD. The translational symmetry inherent in the computational configuration is utilized for the POD analysis. This technique turns out to be effective in terms of improving the convergence of energy content represented by the POD modes and enhancing the interpretability of the temporal dynamics. Individual POD modes representing distinct dynamics of various scales are visualized. In the turbulent region, visualizations of the reconstructed vertical vorticity fields suggest that the dominant length scale of flow structures decreases with the modal index. For internal wave motions, visualizations of the reconstructed vertical velocity fields show the opposite trend, as the wavelength of internal waves observed in the wake’s ambient increases with the modal index. The temporal coefficients for a given mode are observed to vary minimally between Re=2.5×104 and 105, suggesting a potential asymptote of the large-scale temporal dynamics in terms of Reynolds number.en_US
dc.description.grantingagencyNatural Sciences and Engineering Research Council (NSERC)en_US
dc.identifier.citationHalawa, B., Xu, C., & Zhou, Q. (2021). Reduced-order representation of stratified wakes by proper orthogonal decomposition utilizing translational symmetry. Journal of Visualization, 24(3), 485-499.en_US
dc.identifier.doihttps://doi.org/10.1007/s12650-020-00726-yen_US
dc.identifier.grantnumberRGPIN-2018-04329en_US
dc.identifier.urihttp://hdl.handle.net/1880/113829
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.publisher.departmentCivil Engineeringen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.hasversionacceptedVersionen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.publisher.policyhttps://www.springer.com/gp/open-access/publication-policies/self-archiving-policyen_US
dc.rightsUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.titleReduced-order representation of stratified wakes by proper orthogonal decomposition utilizing translational symmetryen_US
dc.typejournal articleen_US
ucalgary.item.requestcopytrueen_US
ucalgary.scholar.levelFacultyen_US
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