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

Autor: Jesse W. Lord, Pablo D. Mininni, Mark Rast, Christopher Mckinlay, John Clyne
Rok vydání: 2012
Předmět:
Zdroj: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
ISSN: 1089-7666
1070-6631
Popis: 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. © 2012 American Institute of Physics. Fil: Lord, Jesse W.. University of Colorado; Estados Unidos Fil: Rast, Mark P.. University of Colorado; Estados Unidos Fil: Mckinlay, Christopher. National Center for Atmospheric Research; Estados Unidos. University of California at Los Angeles; Estados Unidos Fil: Clyne, John. National Center for Atmospheric Research; Estados Unidos Fil: Mininni, Pablo Daniel. National Center for Atmospheric Research; Estados Unidos. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Databáze: OpenAIRE