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February 27, 2019, 08:21 |
Power Spectral Density - Energy Spectrum
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#1 |
Senior Member
luca mirtanini
Join Date: Apr 2018
Posts: 165
Rep Power: 8 |
Hi all,
I was looking at a result in the validation guide of fds. In particular, attached you can see the Figure 6.41 of the FDS User Guide, which is named Power spectrum. As far as I know, this figure was produced using this script. https://github.com/firemodels/fds/bl...wer_spectrum.m I have 2 doubts: 1) In the Tenneke, the Power spectral density is defined as the fourier trasform of the autocorrelation. Since the autocorrelation is u(t)*u(t')/u^2, I cannot see in this script where is the t' (time difference) in the script. 2) Furthermore I cannot understand how the attached figure "Autospectral Density" can exhibit the -5/3 scaling in the inertial subrange, since I thought that the -5/3 scaling should be seen only in the nondimensionalised kinetic Energy spectrum, as you can seen in the figure "Chapman 1979" attached. |
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