Dimension Reduction for Computational Enhancements in Thin Film Electrochemical Modelling

The application of mechanistic electrochemical models is limited to small scale or short term simulations because of the high computational cost. In this work a model is developed to decrease the computational time by applying a dimension reduction based on an averaging theorem. In an example, a two-dimensional problem is reduced to a subsystem of coupled one-dimensional problems. For thin electrolyte films, the deviation between the two models becomes negligible; at an electrolyte thickness of 5% of the electrode width, the underestimation error drops below 10%. We can conclude that the dimension reduction is appropriate when dealing with thin electrolyte layers such as in atmospheric corrosion.