A state of the art lithium-ion battery (LIB) consists of two porous electrodes (anode and cathode)
whose porosity is filled with liquid electrolyte that serves as an ionic connection between the two electrodes, while in the crystal structure of the active material Lithium can be stored. The active material structure is characterized by particles of variable dimension. Their spatial distribution and dimension can be detected by modern tomographic techniques like focused ion beam combined with scanning electron microscope (FIB/SEM).
The electrochemical phenomena that have to be taken into account in numerical simulations of LIB models have a multiscale character.
A well established LIB model is the so called Newmann-type model also denoted P2D model, meaning that it is pseudo two-dimensional. In fact, this is a multiscale model in the sense that the transport in the active material is defined at the microscopic scale while the transport in the electrolyte is described macroscopically.
We present an adaptive finite element method for the solution of a Newman-type model that takes into consideration a given range of particles and show the effect of interparticle phase separation in a realistic electrode.