In this paper, a discontinuous finite element solution to the phase-field equations for the microstructure evolution of polycrystalline material is presented. The mathematical formulation and numerical implementation are discussed. Numerical studies are conducted on the interactions between multiple grain seeds with different orientations during solidification. The discontinuous numerical scheme is validated by the results reported in literature. The effects the pulling rate, the size and orientation of the grain seeds on the microstructure formation of interface are investigated using the presented model. Results show that the initial orientation of the grain seed plays a dominant role in the final crystallography of the crystals.

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