Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold

We examine the decomposition of forced Taylor-Green and Arn'old-Beltrami-Childress (ABC) flows into coherent and incoherent components using an orthonormal wavelet decomposition. We ask whether wavelet coefficient thresholding based on the Donoho-Johnstone criterion can extract a coherent vorte...

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Bibliographic Details
Published in:Physics of fluids (1994) 2012-02, Vol.24 (2), p.025102-025102-14
Main Authors: Lord, Jesse W., Rast, Mark P., Mckinlay, Christopher, Clyne, John, Mininni, Pablo D.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Isotropic turbulence
homogeneous turbulence
Physics
Turbulence simulation and modeling
Turbulent flows, convection, and heat transfer
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Summary:We examine the decomposition of forced Taylor-Green and Arn'old-Beltrami-Childress (ABC) flows into coherent and incoherent components using an orthonormal wavelet decomposition. We ask whether wavelet coefficient thresholding based on the Donoho-Johnstone criterion can extract a coherent vortex signal while leaving behind Gaussian random noise. We find that no threshold yields a strictly Gaussian incoherent component, and that the most Gaussian incoherent flow is found for data compression lower than that achieved with the fully iterated Donoho-Johnstone threshold. Moreover, even at such low compression, the incoherent component shows clear signs of large-scale spatial correlations that are signatures of the forcings used to drive the flows.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.3683556