“…In this aspect, a number of numerical methods have been developed recently [ 13 , 14 , 15 , 16 ]. Among them, the adaptive mesh refinement has been proved to be one of the most computationally efficient methods, which has been used in the simulation of a single dendrite growth [ 13 , 14 ], multi-dendrite growth [ 17 ], and interface instability [ 18 ]. However, even with the adaptive mesh refinement, 3D phase field simulation of dendrite coarsening is still a computationally challenging task.…”