Modelling and simulation of self-ordering in anodic porous alumina

► We established a kinetic model for anodic porous alumina formation. ► Simulation of real-time porous alumina growth was realized. ► Simulation results agree with typical experimental results very well. ► Nonporous, stable porous and unstable porous regimes of oxide growth are found and the electric field is the main driving force for porous alumina growth and self-ordering.