  We perform phase-field simulations of the electrodeposition process that
forms dendrites within metal-anode batteries including anisotropic
representation. We describe the evolution of a phase field, the lithium-ion
concentration, and an electric potential, during a battery charge cycle,
solving equations using time-marching algorithms with automatic time-step
adjustment and implemented on an open-source finite element library. A modified
lithium crystal surface anisotropy representation for phase-field
electrodeposition model is proposed and evaluated through different numerical
tests, exhibiting low sensitivity to the numerical parameters. Change of
dendritic morphological behaviour is captured by a variation of the simulated
inter-electrode distance. A set of simulations are presented to validate the
proposed formulation, showing their agreement with experimentally-observed
lithium dendrite growth rates, and morphologies reported in the literature.
