Turbulence spectrum
From Atomix
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| Turbulence energy cascade and its expected spectral representation |
This is the common definition for Turbulence spectrum, but other definitions maybe discussed within the wiki.
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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> \frac{\partial}{\partial x} = \frac{1}{U_P} \frac{\partial}{\partial t} </math> .
Convert frequency spectra into wavenumber spectra using
<math> k = f/U_P </math> and <math> \Psi(k) = U_P \Psi(f) </math> .
- Missing the y-axi variables
- Lowest frequency and wavenumber resolvable
