Multiscale model reduction for pore-scale simulation of Li-ion batteries using GMsFEM

In this work, we consider electrochemical processes for the pore-scale simulation of Lithium-ion batteries (LIBs). Mathematical model consists of the coupled system of the equations for the concentration and electric potential. We develop fine-scale approximation using discontinuous Galerkin approach, where interface condition is imposed weakly. We present novel multiscale model reduction technique based on the GMsFEM, where multiscale basis functions are constructed using information about variation of the medium at the micro level. We present numerical results for two cases of the boundary conditions and compare errors for different coarse grids for testing the proposed computational multiscale method. Numerical results show that the multiscale basis functions can efficiently capture the information of the fine-scale features of the medium with significant dimension reduction of the system and provide accurate solutions.