I am looking for papers dealing with antidiffusion techniques used for mass transport or similar, on (preferably) finite volume methods.

Regards,

Nicolas

What do you mean by antidiffusion? Do you mean turbulence "diffusing" transported quantities up time-averaged mean gradients rather than down? or something else? I would tend to label this "counter gradient diffusion" which may help with your searching.

What i meant, are techniques to sharpen discontinuities in the solution; in my case it would be density distribution. I am getting numerical diffusion, and i d like to sharpen the distribution (in a physical compatible way) solving a anti-diffusion (diffusion with negative gamma) equation. I havent managed to find good papers about that.

Nicolas

I don't know if I got what you mean, but reconstruction methods such as van Leer's MUSCL scheme "adds antidiffusion" to 1st-order upwind schemes such as Roe or HLLC.

There's a series of van Leer's paper on that.

You can find these kind of technics in Flux-Corrected Transport (FCT) methods developed by Boris and Book. The first paper was published in 1973 in Journal of Computational Physics. For review look in a book by Boris and Oran "Numerical Methods for Reactive Flows" (I am not sure if the title is exactly as I wrote.

Angen