2005
DOI: 10.1115/1.2175159
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A Reconstruction Method for the Flow Past an Open Cavity

Abstract: In this paper we propose a method to reconstruct the flow at a given time over a region of space using partial instantaneous measurements and full-space proper orthogonal decomposition (POD) statistical information. The procedure is tested for the flow past an open cavity. 3D and 2D POD analysis are used to characterize the physics of the flow. We show that the full 3D flow can be estimated from a 2D section at an instant in time provided that some 3D statistical information—i.e., the largest POD modes of the … Show more

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Cited by 52 publications
(30 citation statements)
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“…These vortices are not symmetric in that the first eigenmode is characterized by a clockwise-rotating vortex, whereas the second eigenmode is featured by a counter-clockwise-rotating vortex. These structures bear a resemblance to the "wake" eigenmodes or the "pulsating" Taylor-Görtler-like vortices found in an open cavity flow that are known to produce certain frequencies, sounds, and oscillations (Pastur et al, 2005;Podvin et al, 2006;Rowley and Williams, 2006). When the air flows from the laryngopharynx to the supraglottic space, the esophageal space acts as an open cavity where vortices are formed both in the cavity (approximately corresponding to the left side of the solid lines above the bifurcation in Fig.…”
Section: Pod Analysismentioning
confidence: 77%
“…These vortices are not symmetric in that the first eigenmode is characterized by a clockwise-rotating vortex, whereas the second eigenmode is featured by a counter-clockwise-rotating vortex. These structures bear a resemblance to the "wake" eigenmodes or the "pulsating" Taylor-Görtler-like vortices found in an open cavity flow that are known to produce certain frequencies, sounds, and oscillations (Pastur et al, 2005;Podvin et al, 2006;Rowley and Williams, 2006). When the air flows from the laryngopharynx to the supraglottic space, the esophageal space acts as an open cavity where vortices are formed both in the cavity (approximately corresponding to the left side of the solid lines above the bifurcation in Fig.…”
Section: Pod Analysismentioning
confidence: 77%
“…Connection with previous numerical simulations Podvin et al (2006) and Chang et al (2006) also reported the formation of spanwise structures and low-frequency modulations, for incompressible flows over open cavities. Similar to our work, both numerical studies focused on a cavity of aspect ratio L/D = 2 with laminar incoming boundary layer and periodic conditions in the spanwise direction.…”
Section: Visual Evidence Of the Three-dimensional Modementioning
confidence: 99%
“…Using proper orthogonal decomposition (POD), Podvin et al (2006) investigated cavity flows at Re D = 4000, with L/θ 0 ≈ 75. They related the first two most energetic POD modes to the shear-layer instabilities, and the next three modes (significantly less energetic) to 'fluctuating vortex motions inside the cavity'.…”
Section: Visual Evidence Of the Three-dimensional Modementioning
confidence: 99%
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“…POD is today an established technique and many investigators have successfully used POD to analyze complex flow fields. Podvin et al (2006) used POD to investigate cavity flows and were able to relate the first couple of most the energetic and dominant POD modes to cavity flow shear layer instabilities. Meyer et al (2007) used PIV based POD to analyze flow structures in the JICF flow configuration.…”
Section: Introductionmentioning
confidence: 99%