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A space–time integral minimisation method for the reconstruction of velocity fields from measured scalar fields

hal.structure.identifierCenter for Environmental Sensing and Modeling [CENSAM]
dc.contributor.authorGILLISSEN, Jurriaan
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorVILQUIN, Alexandre
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorKELLAY, Hamid
hal.structure.identifierSingapore University of Technology and Design [SUTD]
dc.contributor.authorBOUFFANAIS, Roland
hal.structure.identifierMassachusetts Institute of Technology [MIT]
dc.contributor.authorYUE, Dick
dc.date.created2018-03-13
dc.date.issued2018-11-10
dc.identifier.issn0022-1120
dc.description.abstractEnScalar image velocimetry (SIV) is the technique to extract velocity vectors from scalar field measurements. The usual technique involves minimising a cost functional, that penalises the deviation from the scalar conservation equation. This approach requires the measured scalar field to be sufficiently resolved and relatively noise free, such that space and time derivatives of the measured scalar field can be accurately evaluated. We quantify these requirements for a synthetic two-dimensional (2-D) turbulent flow field by evaluating the velocity reconstruction accuracy as a function of the temporal and spatial resolution and the noise level. We propose an improved SIV scheme, that reconstructs not only the velocity field but also the scalar field, which does not require approximating the space and time derivatives of the measured scalar field. Improved velocity reconstruction is demonstrated for the 2-D synthetic field. We furthermore apply the scheme to interferograms of the thickness field of a falling soap film, where 2-D turbulence is generated by an array of cylindrical obstacles. The statistics of the reconstructed velocity field are within 10 % of laser Doppler velocimetry measurements.
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/
dc.subject.envariational methods
dc.subject.enmathematical foundations
dc.title.enA space–time integral minimisation method for the reconstruction of velocity fields from measured scalar fields
dc.typeArticle de revue
dc.identifier.doi10.1017/jfm.2018.559
dc.subject.halMathématiques [math]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.journalJournal of Fluid Mechanics
bordeaux.page348 - 366
bordeaux.volume854
bordeaux.peerReviewedoui
hal.identifierhal-01917576
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01917576v1
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