Turbulence spectrum

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Revision as of 13:34, 29 October 2021 by CynthiaBluteau (talk | contribs)


Short definition of Turbulence spectrum
Turbulence energy cascade and its expected spectral representation

This is the common definition for Turbulence spectrum, but other definitions maybe discussed within the wiki.


CynthiaBluteau (talk) 01:06, 14 October 2021 (CEST)

Replace this published JFM figure with an annotated example spectrum that has both the inertial and viscous subranges for velocities highlighted. Correct labels.


Spectra in the frequency domain are converted into the spatial domain via Taylor's Frozen Turbulence hypothesis. Convert time derivatives to spatial gradients along the direction of profiling using

[math]\displaystyle{ \frac{\partial}{\partial x} = \frac{1}{U_P} \frac{\partial}{\partial t} }[/math] .

Convert frequency spectra into wavenumber spectra using

[math]\displaystyle{ k = f/U_P }[/math] and [math]\displaystyle{ \Psi(k) = U_P \Psi(f) }[/math] .


  • Missing the y-axi variables
  • Lowest frequency and wavenumber resolvable