Proper orthogonal decomposition of the flow in geometries containing a narrow gap. Merzari, E., Ninokata, H., Mahmood, A., & Rohde, M. Theoretical and Computational Fluid Dynamics, 23(5):333-351, 2009.
abstract   bibtex   
Geometries containing a narrow gap are characterized by strong quasi-periodical flow oscillations in the narrow gap region. The above mentioned phenomena are of inherently unstable nature and, even if no conclusive theoretical study on the subject has been published, the evidence shown to this point suggests that the oscillations are connected to interactions between eddy structures of turbulent flows on opposite sides of the gap. These coherent structures travel in the direction of homogeneous turbulence, in a fashion that strongly recalls a vortex street. Analogous behaviours have been observed for arrays of arbitrarily shaped channels, within certain range of the geometric parameters. A modelling for these phenomena is at least problematic to achieve since they are turbulence driven. This work aims to address the use of Proper Orthogonal Decomposition (POD) to reduce the Navier–Stokes equations to a set of ordinary differential equations and better understand the dynamics underlying these oscillations. Both experimental and numerical data are used to carry out the POD. [ABSTRACT FROM AUTHOR]
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 title = {Proper orthogonal decomposition of the flow in geometries containing a narrow gap},
 type = {article},
 year = {2009},
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 keywords = {Eccentric channel,Low-dimensional models,POD},
 pages = {333-351},
 volume = {23},
 city = {Tokyo Inst Technol, Nucl Reactors Res Lab, Meguro Ku, Tokyo 1528550, Japan Delft Univ Technol, PNR R3, NL-2629 JB Delft, Netherlands},
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 abstract = {Geometries containing a narrow gap are characterized by strong quasi-periodical flow oscillations in the narrow gap region. The above mentioned phenomena are of inherently unstable nature and, even if no conclusive theoretical study on the subject has been published, the evidence shown to this point suggests that the oscillations are connected to interactions between eddy structures of turbulent flows on opposite sides of the gap. These coherent structures travel in the direction of homogeneous turbulence, in a fashion that strongly recalls a vortex street. Analogous behaviours have been observed for arrays of arbitrarily shaped channels, within certain range of the geometric parameters. A modelling for these phenomena is at least problematic to achieve since they are turbulence driven. This work aims to address the use of Proper Orthogonal Decomposition (POD) to reduce the Navier–Stokes equations to a set of ordinary differential equations and better understand the dynamics underlying these oscillations. Both experimental and numerical data are used to carry out the POD. [ABSTRACT FROM AUTHOR]},
 bibtype = {article},
 author = {Merzari, Elia and Ninokata, H. and Mahmood, A. and Rohde, M.},
 journal = {Theoretical and Computational Fluid Dynamics},
 number = {5}
}

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