Numerical Modeling of Steady-State Ion Transfer in Electrochemical Systems with Allowance for Migration

Numerical methods that are used for modeling steady-state ion transfer in electrochemical systems and account for the diffusion, migration, and convection are analyzed. An economical method for calculating steady-state processes is designed. The method splits a set of coupled equations of ion transfer and the electroneutrality conditions. The splitting is done in each iteration step by successively calculating distributions of the electric field potential and the electrolyte component concentrations. Techniques for approximate solution of redetermined set of difference equations used for calculating electric fields are analyzed. On the basis of this analysis, a novel technique is put forth, which ensures a minimum deviation from electroneutrality. Results of computational experiments are presented.