File:ADV fft length.png - Revision history

CynthiaBluteau: /* Summary */

2022-07-10T21:02:06Z

Summary

← Older revision		Revision as of 21:02, 10 July 2022
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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.

CynthiaBluteau: 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 $\varepsilon$ 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'...

2022-07-10T20:59:30Z

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 ==
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