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Velocity PDF from energy function

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Old   May 13, 2017, 06:55
Default Velocity PDF from energy function
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Hey everyone, this is my first question and i hope to do everything right (especially posting into the right forum). So my problem is the following. I have a given energy function E(k) (in my case a modified von Karman). From this I create a velocity field on an NxN Grid on my Computer. To check if I did everything right, I calculate again the energy function from the velocity field that i have created. As a second check I would like to compare the velocity probability density function (pdf), which I can easily get as a normed histogram from my velocity field, to an analytical derived pdf. My problem now is, that I do not know how to calculate the pdf from the energy function I have. I googled and read in some books but did not find any guidance. Does anyone have advice ? Thank you guys a lot
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