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Filtered deterministic waves and analysis of the fractal dimension of the components of the wind velocity

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Results of M. Tijera Thesis (443,2Kb) (Restricted access)   Request copy 

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10.1393/ncc/i2008-10324-3
 
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hdl:2117/7773

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Tijera, Manuel
Cano Marchante, Jose Leandro
Cano, Darío
Bolster, Diogo
Redondo Apraiz, José Manuel
Document typeArticle
Defense date2009-03-29
Rights accessRestricted access - publisher's policy
Attribution-NonCommercial-NoDerivs 3.0 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
The difficulty in developing models for waves in turbulent flows is a key problem in the analysis of the complexity of turbulence. We present a method to find and filter perturbations that are generated by the flow of deterministic waves from the power spectrum in the atmospheric boundary layer (ABL). The perturbation model proposed assumes that the amplitude and frequency of such waves decay with time exponentially. For illustrative purposes, we apply the technique to three time series of wind velocities obtained with a sonic anemometer. This analytical procedure allows us to filter waves of the proposed structure with a 99% significance level in the power spectrum. We have applied the same method to 540 such wind series, all painting similar results. We then compare the fractal dimension of the original series to those from which the waves have been removed. We find that the fractal dimension of the filtered waves is slightly less than that of the original series. Finally, we consider the fractal dimension of the studied series as a function of the length-scales and dissipation rate of kinetic energy per unit mass. Our results suggest an increase of fractal dimension with both length-scale and dissipation rate of kinetic energy.
CitationTijera, M. [et al.]. Filtered deterministic waves and analysis of the fractal dimension of the components of the wind velocity. "Nuovo cimento della Società Italiana di Fisica C. Geophysics and space physics", 29 Març 2009, vol. 5-6, núm. 31, p. 653-667. 
URIhttp://hdl.handle.net/2117/7773
DOI10.1393/ncc/i2008-10324-3
ISSN0390-5551
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  • DF - Dinàmica No Lineal de Fluids - Articles de revista [213]
  • GHS - Grup d'Hidrologia Subterrània - Articles de revista [232]
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