Domain splitting algorithms for the Li-ion battery simulation

Numerical simulation of electrochemical processes in rechargeable batteries has important applications in an energy technology. In this paper we have developed and compared three domain splitting algorithms for the Li-ion battery simulation. Li-ion battery simulation is based on microscopic model, which contains nonlinear equations for Li-ion concentration and potential. On the interface of electrodes and electrolyte the Lithium ions intercalation are described by nonlinear equation. This nonlinear interface condition affects the Newton's method iterations and computation time. To simplify numerical simulations we use domain splitting algorithms, which split the original problem into three independent subproblems in two electrodes and electrolyte. We investigate the numerical convergence and efficiency of the algorithms on a 2D model problem.