Voronoi implicit interface method for geometry evolution of two minerals with applications in reactive porous media

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Peter Frolkovič Nikola Gajdošová Stephan Gärttner Nadja Ray

Abstract

 

We present a numerical method to describe the precipitation and dissolution processes of two interacting mineral phases and one fluid phase in porous media. We use the Voronoi implicit interface method [9] to track an interface evolving in normal direction that can contain triple points. To represent the interface implicitly, one uses the $\epsilon$ set of an evolving level set function that is given as the (unsigned) distance function initially or after reinitialization. To obtain the speed of evolution, we combine the Voronoi implicit interface method with a constant extrapolation of the normal speed which is prescribed only at the interface.

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Frolkovič, P., Gajdošová, N., Gärttner, S., & Ray, N. (2020). Voronoi implicit interface method for geometry evolution of two minerals with applications in reactive porous media. Proceedings Of The Conference Algoritmy, , 121 - 130. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1566/825
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References

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