Descripción
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A method is presented to generate reduced order models (ROMs) in Fluid Dynamics problems. The method is based on the expansion of the flow variables on a Proper Orthogonal Decomposition (POD) basis, obtained from a limited number of snapshots calculated via Computational Fluid Dynamics (CFD). Then, the POD-mode amplitudes are calculated as minimizers of a properly defined overall residual of the equations and boundary conditions. The residual can be defined using only a limited number of points in the flow field, which can be scattered either all over the whole computational domain or over a smaller projection window. The process is both computationally efficient (reconstructed flow fields require less than 1 % of the time needed to compute a full CFD solution) and flexible (the projection window can avoid regions of large localized CFD errors). Also, the number and distribution of snapshots and the effect of CFD errors are briefly discussed, to conclude that the method is numerically robust, since the results are largely insensitive to the definition of the residual, to CFD errors, and to the CFD method itself, which may contain artificial stabilizing terms. Thus, the method is amenable for practical engineering applications. | |
Internacional
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Si |
Nombre congreso
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International Conference on Computational and Mathematical Methods, 2009 |
Tipo de participación
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960 |
Lugar del congreso
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Gijón (Asturias), Spain |
Revisores
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Si |
ISBN o ISSN
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978-84-612-9727-6 |
DOI
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Fecha inicio congreso
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30/06/2009 |
Fecha fin congreso
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03/07/2009 |
Desde la página
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98 |
Hasta la página
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108 |
Título de las actas
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Proceedings of the 2009 International Conference on Computational and Mathematical Methods in Science and Engineering |