Open AccessA regularized phase field model for «solid–fluid» system accounting for chemical reactions.
Author(s) -
V. A. Balashov,
Е. Б. Савенков
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-82
Subject(s) - regularization (linguistics) , rheology , simple (philosophy) , finite difference , chemical reaction , thermodynamics , statistical physics , mathematics , mechanics , physics , chemistry , computer science , mathematical analysis , philosophy , biochemistry , epistemology , artificial intelligence
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.