Turbulence spectrum: Difference between revisions
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Spectra in the frequency domain are converted into the spatial domain via [[Taylor's Frozen Turbulence]] hypothesis. | 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 | Convert time derivatives to spatial gradients along the direction of profiling using | ||
Revision as of 13:35, 29 October 2021
| Short definition of Turbulence spectrum |
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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.
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
