Multiscale geometric analysis of turbulence by curvelets
Physics of FluidsPublished 1 July 2009
Jianwei Ma, M. Yousuff Hussaini, Oleg V. Vasilyev, François-Xavier Le Dimet
Citations24
SJR quartileQ1
SJR score0.90
SNIP1.37
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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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