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This paper presents a numerical strategy for the  simulation of phenomena disclosed by very recent experimentation within the  framework of microscale studies devoted to the investigation of dissolution  phenomena in liquid couples with a miscibility gap. Possible approaches to the  problem are reviewed and discussed through a focused and critical comparison of  similarities and differences, advantages, and intrinsic limitations. The  proposed technique comes through major modification of existing volume tracking  methods. Some effort is devoted to demonstrate its relevance when trying to  capture the fluid-dynamic instabilities dependent on mechanisms at the  liquid/liquid interface driven by non-equilibrium thermodynamic  conditions.

Numerical strategies for the simulation of dissolution kinetics and fluid-dynamic instabilities in liquid couples with a miscibility gap