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Technique for measuring and correcting the Taylor microscale
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| Zeitschriftentitel: | Journal of Geophysical Research: Space Physics |
|---|---|
| Personen und Körperschaften: | , , , , , |
| In: | Journal of Geophysical Research: Space Physics, 119, 2014, 6, S. 4256-4265 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Geophysical Union (AGU)
|
| Schlagwörter: |
| author_facet |
Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. |
|---|---|
| author |
Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. |
| spellingShingle |
Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. Journal of Geophysical Research: Space Physics Technique for measuring and correcting the Taylor microscale Space and Planetary Science Geophysics |
| author_sort |
chuychai, p. |
| spelling |
Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. 2169-9380 2169-9402 American Geophysical Union (AGU) Space and Planetary Science Geophysics http://dx.doi.org/10.1002/2013ja019641 <jats:title>Abstract</jats:title><jats:p>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.</jats:p> Technique for measuring and correcting the Taylor microscale Journal of Geophysical Research: Space Physics |
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Technique for measuring and correcting the Taylor microscale |
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Technique for measuring and correcting the Taylor microscale |
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Technique for measuring and correcting the Taylor microscale |
| title_fullStr |
Technique for measuring and correcting the Taylor microscale |
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Technique for measuring and correcting the Taylor microscale |
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Technique for measuring and correcting the Taylor microscale |
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technique for measuring and correcting the taylor microscale |
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Space and Planetary Science Geophysics |
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http://dx.doi.org/10.1002/2013ja019641 |
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2014 |
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4256-4265 |
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<jats:title>Abstract</jats:title><jats:p>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.</jats:p> |
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| author | Chuychai, P., Weygand, J. M., Matthaeus, W. H., Dasso, S., Smith, C. W., Kivelson, M. G. |
| author_facet | Chuychai, P., Weygand, J. M., Matthaeus, W. H., Dasso, S., Smith, C. W., Kivelson, M. G., Chuychai, P., Weygand, J. M., Matthaeus, W. H., Dasso, S., Smith, C. W., Kivelson, M. G. |
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| description | <jats:title>Abstract</jats:title><jats:p>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.</jats:p> |
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| spelling | Chuychai, P. Weygand, J. M. Matthaeus, W. H. Dasso, S. Smith, C. W. Kivelson, M. G. 2169-9380 2169-9402 American Geophysical Union (AGU) Space and Planetary Science Geophysics http://dx.doi.org/10.1002/2013ja019641 <jats:title>Abstract</jats:title><jats:p>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.</jats:p> Technique for measuring and correcting the Taylor microscale Journal of Geophysical Research: Space Physics |
| spellingShingle | Chuychai, P., Weygand, J. M., Matthaeus, W. H., Dasso, S., Smith, C. W., Kivelson, M. G., Journal of Geophysical Research: Space Physics, Technique for measuring and correcting the Taylor microscale, Space and Planetary Science, Geophysics |
| title | 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_short | Technique for measuring and correcting the Taylor microscale |
| title_sort | technique for measuring and correcting the taylor microscale |
| title_unstemmed | Technique for measuring and correcting the Taylor microscale |
| topic | Space and Planetary Science, Geophysics |
| url | http://dx.doi.org/10.1002/2013ja019641 |