Anisotropy function of kinetic coefficient for phase-field simulations: Reproduction of kinetic Wulff shape with arbitrary face angles
作者： Hitoshi Miura
DOI: 10.1016/J.JCRYSGRO.2013.01.014
关键词:
摘要: Abstract We proposed a new anisotropy function of kinetic coefficient for the phase-field simulations in two-dimension. The has minima at arbitrary polar angles. carried out solidification binary alloy with and found that calculated growth form agreed Wulff shape, which is exact solution determined by function. With function, shape not necessary to be regular polygons but can an any face In addition, we introduced curvature parameter aim optimizing flat facets was reproduced when standard value about 20. optimization based on applicable other functions. concluded our concept give us great opportunity simulate more general shapes crystals.
harvard.edu
elsevier.com
sci-hub.se 参考文章(39)
David W. Hoffman, John W. Cahn, A vector thermodynamics for anisotropic surfaces: I. Fundamentals and application to plane surface junctions Surface Science. ,vol. 31, pp. 368- 388 ,(1972) , 10.1016/0039-6028(72)90268-3
N. Shimizu, I. Kushiro, Diffusivity of oxygen in jadeite and diopside melts at high pressures Geochimica et Cosmochimica Acta. ,vol. 48, pp. 1295- 1303 ,(1984) , 10.1016/0016-7037(84)90063-2
Shun-Lien Wang, Robert F. Sekerka, Algorithms for Phase Field Computation of the Dendritic Operating State at Large Supercoolings Journal of Computational Physics. ,vol. 127, pp. 110- 117 ,(1996) , 10.1006/JCPH.1996.0161
Jeroen Heulens, Bart Blanpain, Nele Moelans, Phase field modeling of the crystallization of FeOx–SiO2 melts in contact with an oxygen-containing atmosphere Chemical Geology. ,vol. 290, pp. 156- 162 ,(2011) , 10.1016/J.CHEMGEO.2011.09.005
Ryo Kobayashi, Modeling and numerical simulations of dendritic crystal growth Physica D: Nonlinear Phenomena. ,vol. 63, pp. 410- 423 ,(1993) , 10.1016/0167-2789(93)90120-P
B.T. Murray, A.A. Wheeler, M.E. Glicksman, Simulations of experimentally observed dendritic growth behavior using a phase-field model Journal of Crystal Growth. ,vol. 154, pp. 386- 400 ,(1995) , 10.1016/0022-0248(95)00137-9
Jean-Marc Debierre, Alain Karma, Franck Celestini, Rahma Guérin, Phase-field approach for faceted solidification. Physical Review E. ,vol. 68, pp. 041604- ,(2003) , 10.1103/PHYSREVE.68.041604
Blas Echebarria, Roger Folch, Alain Karma, Mathis Plapp, Quantitative phase-field model of alloy solidification. Physical Review E. ,vol. 70, pp. 061604- ,(2004) , 10.1103/PHYSREVE.70.061604
Robert F. Sekerka, Equilibrium and growth shapes of crystals: how do they differ and why should we care? Crystal Research and Technology. ,vol. 40, pp. 291- 306 ,(2005) , 10.1002/CRAT.200410342
Hitoshi Miura, Etsuro Yokoyama, Ken Nagashima, Katsuo Tsukamoto, Atul Srivastava, Phase-field simulation for crystallization of a highly supercooled forsterite-chondrule melt droplet Journal of Applied Physics. ,vol. 108, pp. 114912- ,(2010) , 10.1063/1.3504655