Eulerian modeling of turbulent dispersion from a point source

We derive a frame-invariant Eulerian model of turbulent dispersion that takes into account the effect of velocity correlation on turbulent diffusivity.We give a mathematical derivation of the model, we implement it and simulate different benchmark flows. We also simulate the same flows with a simpler Eulerian model, which does not take into account the effect of velocity correlation. We compare the results of both models with analytical and experimental results from the literature and we find that our model gives excellent agreement with the literature data and that it is significantly more accurate than the simpler model.