Algorithms for Phase Field Computation of the Dendritic Operating State at Large Supercoolings
作者： Shun-Lien Wang , Robert F. Sekerka
关键词:
摘要: This paper deals with numerical solutions of the phase field model solidification in two dimensions context dendritic growth. Finite difference methods associated vectorized algorithms are employed to solve equations. The temperature equation is solved by an alternating direction implicit scheme and for explicit Euler scheme. We identify a region parameter space, namely large supercoolings, where we can compute morphologies that display steady-state dendrite tip operating conditions independent computational parameters.
harvard.edu
osti.gov
elsevier.com
sci-hub.se 参考文章(4)
G. Caginalp, E. Socolovsky, Phase field computations of single-needle crystals, crystal growth, and motion by mean curvature SIAM Journal on Scientific Computing. ,vol. 15, pp. 106- 126 ,(1994) , 10.1137/0915007
John C. Strikwerda, Finite Difference Schemes and Partial Differential Equations ,(1989)
B. T. Murray, R. J. Schaefer, A. A. Wheeler, Computation of Dendrites Using a Phase Field Model ,(2017)
S.-L. Wang, R.F. Sekerka, A.A. Wheeler, B.T. Murray, S.R. Coriell, R.J. Braun, G.B. McFadden, Thermodynamically-consistent phase-field models for solidification Physica D: Nonlinear Phenomena. ,vol. 69, pp. 189- 200 ,(1993) , 10.1016/0167-2789(93)90189-8