Calculation of spectral transfer flux T(k)
Hi guys,
I would like to get your advice on this. In homogeneous turbulence, a dynamic equation can be written for the 3D energy spectrum E(k), whereby the time rate of Energy spectrum is related to the spectral energy transfer T(k) and dissipation: dE(k)/dt = T(k) - 2vk^2E(k) Now, I have calculated E(k) from a 3D data field, and would like to calculate T(k). Is there a direct way to work out T(k)? I have tried to take the Fourier transform of the non-linear triad interactions in physical space, but have not achieved a good result. Appreciate your help! |
Without more details I cannot say if you are wrong in the procedure...What is the problem you see? Does the integral of T(k) vanish?
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Try to check the expression reported in the book Turbulence of U.Frisch, from sec.6.2.2 it explains the transfer function for homogeneous turbulence
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