A regularized phase field model for «solid–fluid» system accounting for chemical reactions

We present regularized phase flield model for description of threephase «fluid–fluid–solid» system, where solid body obeys elastic rheology. It is assumed that one of the liquid phases chemically interacts with the solid one. As the corresponding equations of chemical kinetics, simple model equations describing a bimolecular reaction are considered. A feature of the model under consideration is its preliminary regularization according to quasi-hydrodynamic technique. A fully explicit finite difference approximation of this model is presented. Results of a simulation in two-dimensional setting are presented.