Dear All,
I want to generate an initial velocity field for homogenous isotropic turbulence. I learned that inverse Fourier calculates it from the energy spectrum of the form.
E(k)=k4e-2(k/k0)^2
However, the inverse Fourier transform of the function is not so straightforward. Does anyone know any good documentation for Fourier or Inverse Fourier transform for the turbulence energy spectrum?
Also, I have seen some papers using sinusoidal functions as the initial velocity field in HIT. However, I don't understand how it pops out from the inverse FFT of the energy spectrum. Can someone through some light on it?
Thank you
Krishna