期刊
COMPUTATIONAL MATERIALS SCIENCE
卷 170, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.commatsci.2019.109197
关键词
Phase-field modelling; Dendrite growth; Directional solidification; Surface anisotropy
资金
- German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) [KU 3122/3-1, STE 1116/16-2]
Phase-field model formulations with double well and double obstacle potentials, and different anisotropy models are investigated with respect to their potential to simulate (i) tip growth on a quantitative level, (ii) well resolved side-branching. The dilute binary alloy Al-4 at%Cu is used as a model alloy. The effects of the numerical resolution (the ratio of the capillary length to the grid spacing) on the growth velocity are studied by means of convergence tests for isothermal and directional solidification in comparison to the theoretical values calculated by the Green-function method (A. Karma, W.J. Rappel, Phys. Rev. E 57 (1998) 4323). An interface stability parameter is introduced as a measure for the estimation of the maximum value of the grid spacing for effective simulations. We show that predominantly the side-branching occurs at numerical resolution lower than the limit value needed to produce correct results in accordance to the convergence analysis. The best results for dendrite growth at a relevant numerical resolution are obtained for the double well potential.
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