Multiscale geometric analysis of turbulence by curvelets

Abstract : In this paper, after a brief review of curvelets and their relation to classical wavelet transform, multiscale geometric analysis is systematically applied to turbulent flows in two and three dimensions. The analysis is based on the constrained minimization of a total variation functional representing the difference between the data and its representation in the curvelet space. Constrained multiscale minimization results in a minimum loss of the geometric flow features and the extraction of the coherent structures with their edges and geometry properly preserved, which is significant for turbulence modeling. The effectiveness of curvelet analysis compared to the wavelet transform is demonstrated for both two- and three-dimensional turbulent flows.
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Article dans une revue
Physics of Fluids, American Institute of Physics, 2009, 21 (7), pp.075104:1-19. 〈10.1063/1.3177355〉
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https://hal.inria.fr/inria-00391872
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Soumis le : vendredi 5 juin 2009 - 10:16:26
Dernière modification le : mercredi 11 avril 2018 - 01:59:39

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Jianwei Ma, M. Yussuf Hussaini, Oleg Vasilyef, François-Xavier Le Dimet. Multiscale geometric analysis of turbulence by curvelets. Physics of Fluids, American Institute of Physics, 2009, 21 (7), pp.075104:1-19. 〈10.1063/1.3177355〉. 〈inria-00391872〉

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