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- W1982393509 abstract "This article presents a model reduction of laminar incompressible fluid flows in two-dimensional geometries cases. The modal identification method [Petit, Hachette, and Veyret, A modal identification method to reduce a high order model: application to heat conduction modelling, Int. J. Model. Simulation, 17, 242–250; Girault and Petit, Identification methods in non linear heat conduction, Part I: model reduction; Int. J. Heat Mass Transfer, 2005, 48, 105–118; Balima, Favennec, Girault, and Petit, The modal identification method in non linear heat transfer problems, Proceedings 13 International Heat Transfer Conference, Sydney, Australia, 2006] is used to derive a structure for the reduced models (RMs). These RMs are identified through a minimization algorithm where the cost function gradient is computed with the adjoint method [Balima, Favennec, Girault, and Petit, The modal identification method in non linear heat transfer problems, Proceedings 13 International Heat Transfer Conference, Sydney, Australia, 2006; Favennec, Girault, and Petit, The adjoint method coupled with the modal identification method for non linear model reduction, Inverse Probl. Sci. Eng., 2006, 14, 153–170; Balima, Réduction de modéle non linéaire par identification modale: application en thermique et comparaison avec la méthode POD-Galerkin, PhD thesis, Université de Poitiers, France, 2006]. Two laminar steady fluid flows in a pipe and in a square cavity (lid-driven cavity) are used to illustrate the study. The results show that the identified RMs are able to reproduce with accuracy the behaviour of the considered model." @default.
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- W1982393509 date "2009-01-01" @default.
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- W1982393509 title "Reduced modelling through identification on 2D incompressible laminar flows" @default.
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- W1982393509 doi "https://doi.org/10.1080/17415970802166410" @default.
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