Visual simulation of smoke

Hi,
I would like to make of visual simulation of smoke.Actually I would prefer to have only the maths that could simulate a random plume of smoke that would dilute in atmosphere. If it’s very simplified and if there’s some convolution sometimes but not all at all it’s ok. I already start to make some classical three.js particles but I want to give them the adapted movement. How would you do ? Something approaching this would be ideal : https://amaurypichat.fr/smoke_simluaiiton.JPG

Ps :I know things like that have been done : Fluid Simulation with Volumetric Lighting but it seem to be too power consuming and to complicated for my case.I admit I didn’t get into the physics used in this also but if it is mandatory to get into poisson’s law or things like that, no problem.

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Not quite what you look for, but may give some ideas:

https://codepen.io/boytchev/full/XWoomXe

image

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I already try a lot of things with this but it is not ok. This is exactly what I am looking for: Fluid Simulation with Volumetric Lighting . I tried to reproduce it but I have bug. I will create a sandbox of it soon.