An accurate reduced-dimension numerical model for evolution of electrical potential and ionic concentration distributions in a nano-scale thin aqueous film

The numerical modelling of ionic diffusive transport through a charged thin film electrolyte is mathematically and computationally complex due to the strongly coupled hydrodynamics electrochemical interactions. Generally, simulations are performed by solving Poisson equation together with Nernst-Planck flux formula model processes in electro-diffusion problems. One important application these system equations study interaction diffusion petroleum engineering. However, highly nonlinear computational costs heavy very often limited two-dimensional geometries. In this article, we have developed an equivalent one-dimensional electro-diffusive based on mathematical averaging 2D reduce time. Doing so, time improved substantially simulation much larger domain sizes which required interpret experimental results shown be feasible. We high accuracy comparing electric potential concentration profiles against original simulations. approach reduces effort over 200 times without losing accuracy.