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Confusion in calculation of u', the velocity flucation

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March 16, 2022, 12:12	Confusion in calculation of u', the velocity flucation	#1
ckpark New Member CPark Join Date: Apr 2021 Location: Germany Posts: 11 Rep Power: 5	Dear all, I have a simple dataset with just the 3 components of velocity, , and , and I am trying to compute the turbulence kinetic energy, , in which the velocity fluctuations need to be computed. The velocity fluctuation is simply, $u' = u - \overline{u}$ , where $\overline{u}$ is the time average of . The confusion is, say the dataset exists from time to with a finite number time steps and i would like to compute for each timestep. So for example for $t=t_{1}$ where $0<t_{1}<T$ , I need to compute the at this specific time. Then, is $\overline{u}$ the time average between and or is it between and $t_{1}$ ? It is a simple base theory for CFD but I just ran into this confusion while trying to calculate by myself instead of relying on programs.

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turbulence kinetic energy, velocity component, velocity fluctuation

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