Electronic Supplementary Material for Level Set Simulation Methodology
نویسندگان
چکیده
The purpose of this supplement is to provide details of the numerical scheme that we have used in studying the problem of coupled grain boundary (GB) motion in the main paper. Our simulations are based on the local level set method of Peng et al. [11], which is a modification of the classical level set method [10, 13], combined with discretization and reinitialization schemes of Jiang and Peng [7], Russo and Smereka [12], and Smereka [14]. We have tailored the numerical schemes for problems related to GB motion. We also provide several examples to verify our numerical procedure, including surface diffusion driven by Laplacian of curvature, Wulff shape, and shrinkage of grains with anisotropic GB energy. Other simulations, in particular those involving coupled motion and anisotropic kinetic coefficients are provided in the main paper. The notation in this note is consistent with the main text.
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