Technique for measuring and correcting the Taylor microscale

We discuss and develop methods to estimate and refine measurements of the Taylor microscale from discrete data sets. To study how well a method works, we construct a time series of discrete data with a known power spectrum and Taylor scale, but with various truncations of the resolution that elimina...

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Detalles Bibliográficos
Autor principal: Dasso, Sergio Ricardo
Publicado: 2014
Materias:
correlation functions
magnetic field
solar wind
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_21699402_v119_n6_p4256_Chuychai
http://hdl.handle.net/20.500.12110/paper_21699402_v119_n6_p4256_Chuychai
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_21699402_v119_n6_p4256_Chuychai
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spelling paper:paper_21699402_v119_n6_p4256_Chuychai2023-06-08T16:35:02Z Technique for measuring and correcting the Taylor microscale Dasso, Sergio Ricardo correlation functions magnetic field solar wind We discuss and develop methods to estimate and refine measurements of the Taylor microscale from discrete data sets. To study how well a method works, we construct a time series of discrete data with a known power spectrum and Taylor scale, but with various truncations of the resolution that eliminate higher frequencies in a controlled fashion. We compute the second-order structure function and correlation function, assuming that the unresolved dissipation range spectrum has various values of spectral index. A series of Taylor scale estimates are obtained from parabolic fits to subsets of the correlation function data, and these are extrapolated to the limit of zero separation. The error in this procedure, for finite time resolution sampling, depends on the spectral index in the dissipation range. When the spectral form is known, we can compute a correction factor that improves the estimate of the Taylor microscale value determined from the extrapolation method and band-limited data. Application of this technique to spacecraft observations of solar wind fluctuations is illustrated. ©2014. American Geophysical Union. All Rights Reserved. Fil:Dasso, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_21699402_v119_n6_p4256_Chuychai http://hdl.handle.net/20.500.12110/paper_21699402_v119_n6_p4256_Chuychai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic correlation functions
magnetic field
solar wind
spellingShingle correlation functions
magnetic field
solar wind
Dasso, Sergio Ricardo
Technique for measuring and correcting the Taylor microscale
topic_facet correlation functions
magnetic field
solar wind
description We discuss and develop methods to estimate and refine measurements of the Taylor microscale from discrete data sets. To study how well a method works, we construct a time series of discrete data with a known power spectrum and Taylor scale, but with various truncations of the resolution that eliminate higher frequencies in a controlled fashion. We compute the second-order structure function and correlation function, assuming that the unresolved dissipation range spectrum has various values of spectral index. A series of Taylor scale estimates are obtained from parabolic fits to subsets of the correlation function data, and these are extrapolated to the limit of zero separation. The error in this procedure, for finite time resolution sampling, depends on the spectral index in the dissipation range. When the spectral form is known, we can compute a correction factor that improves the estimate of the Taylor microscale value determined from the extrapolation method and band-limited data. Application of this technique to spacecraft observations of solar wind fluctuations is illustrated. ©2014. American Geophysical Union. All Rights Reserved.
author Dasso, Sergio Ricardo
author_facet Dasso, Sergio Ricardo
author_sort Dasso, Sergio Ricardo
title Technique for measuring and correcting the Taylor microscale
title_short Technique for measuring and correcting the Taylor microscale
title_full Technique for measuring and correcting the Taylor microscale
title_fullStr Technique for measuring and correcting the Taylor microscale
title_full_unstemmed Technique for measuring and correcting the Taylor microscale
title_sort technique for measuring and correcting the taylor microscale
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_21699402_v119_n6_p4256_Chuychai
http://hdl.handle.net/20.500.12110/paper_21699402_v119_n6_p4256_Chuychai
work_keys_str_mv AT dassosergioricardo techniqueformeasuringandcorrectingthetaylormicroscale
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