File:ADV fft length.png: Difference between revisions

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Contours represent the log of the fft-length required to resolve the non-dimensional wavenumber [rad/m] indicated in each panel's title. The contours are plotted as a function of <math>\varepsilon</math> and speed past the sensor u. The fft-length controls the lowest frequency that is resolved by the spectra. The bottom panel (c) shows the fft-length that begins to resolve the viscous subrange i.e., the end of the inertial subrange. The middle panel shows the fft-length to resolve 1 decade'...
 
 
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== Summary ==
== Summary ==
Contours represent the log of the fft-length required to resolve the non-dimensional wavenumber [rad/m] indicated in each panel's title. The contours are plotted as a function of <math>\varepsilon</math> and speed past the sensor u.  The fft-length controls the lowest frequency that is resolved by the spectra. The bottom panel (c) shows the fft-length that begins to resolve the viscous subrange i.e., the end of the inertial subrange. The middle panel shows the fft-length to resolve  1 decade's worth of inertial subrange. Panel (a) provides a bit of breathing room for fitting the inertial subrange given the sparse number of spectral observations at low wavenumber. Panel (c) can be used to gauge the fft-length when computing shear probe spectra to estimate <math>\varepsilon</math> from the viscous subranges
Contours represent the log of the fft-length required to resolve the non-dimensional wavenumber [rad/m] indicated in each panel's title. The contours are plotted as a function of <math>\varepsilon</math> and speed past the sensor u.  The fft-length controls the lowest frequency that is resolved by the spectra.   Panel (a) provides a bit of breathing room for fitting the inertial subrange given the sparse number of spectral observations at low wavenumber. The middle panel (b) shows the fft-length to resolve  1 decade's worth of inertial subrange. The bottom panel (c) shows the fft-length that begins to resolve the viscous subrange i.e., the end of the inertial subrange. It can be used to gauge the fft-length for computing shear probe spectra to estimate <math>\varepsilon</math> from the viscous subrange.

Latest revision as of 21:02, 10 July 2022

Summary

Contours represent the log of the fft-length required to resolve the non-dimensional wavenumber [rad/m] indicated in each panel's title. The contours are plotted as a function of [math]\displaystyle{ \varepsilon }[/math] and speed past the sensor u. The fft-length controls the lowest frequency that is resolved by the spectra. Panel (a) provides a bit of breathing room for fitting the inertial subrange given the sparse number of spectral observations at low wavenumber. The middle panel (b) shows the fft-length to resolve 1 decade's worth of inertial subrange. The bottom panel (c) shows the fft-length that begins to resolve the viscous subrange i.e., the end of the inertial subrange. It can be used to gauge the fft-length for computing shear probe spectra to estimate [math]\displaystyle{ \varepsilon }[/math] from the viscous subrange.

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current20:59, 10 July 2022Thumbnail for version as of 20:59, 10 July 2022800 × 800 (166 KB)CynthiaBluteau (talk | contribs)Contours represent the log of the fft-length required to resolve the non-dimensional wavenumber [rad/m] indicated in each panel's title. The contours are plotted as a function of <math>\varepsilon</math> and speed past the sensor u. The fft-length controls the lowest frequency that is resolved by the spectra. The bottom panel (c) shows the fft-length that begins to resolve the viscous subrange i.e., the end of the inertial subrange. The middle panel shows the fft-length to resolve 1 decade'...

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