diffusion of particles

Hi all

I am writing a particle system to simulate dispersion of smoke in the air.
This simulation should be visually realistic and should also be comparable
to observation (for example in the case of fire forest).

In my system, particle are dispersed in a 3D lagrangian frame using
meteorological info.

I implemented an algorithm for advection, but I need advice in the way to
implement a realistic diffusion of particle. One problem I see is that
diffusion coefficient change very quickly in Z, so I will probably need to
use a VERY short timestep neer the ground.This will result in a large
amount of cpu time used to estimate these small random perturbation.

Do you have recommandation on a way to get a realistic estimate of the
diffusion without a large increase of cpu time ?

Thank you !
.

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