TY - JOUR
T1 - Phase-field simulations of crystal growth with adaptive mesh refinement
AU - Li, Yibao
AU - Kim, Junseok
N1 - Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0023794 ). The authors also wish to thank the anonymous referee for the constructive and helpful comments on the revision of this article.
PY - 2012/12
Y1 - 2012/12
N2 - In this paper, we propose the phase-field simulation of dendritic crystal growth in both two- and three-dimensional spaces with adaptive mesh refinement, which was designed to solve nonlinear parabolic partial differential equations. The proposed numerical method, based on operator splitting techniques, can use large time step sizes and exhibits excellent stability. In addition, the resulting discrete system of equations is solved by a fast numerical method such as an adaptive multigrid method. Comparisons to uniform mesh method, explicit adaptive method, and previous numerical experiments for crystal growth simulations are presented to demonstrate the accuracy and robustness of the proposed method.
AB - In this paper, we propose the phase-field simulation of dendritic crystal growth in both two- and three-dimensional spaces with adaptive mesh refinement, which was designed to solve nonlinear parabolic partial differential equations. The proposed numerical method, based on operator splitting techniques, can use large time step sizes and exhibits excellent stability. In addition, the resulting discrete system of equations is solved by a fast numerical method such as an adaptive multigrid method. Comparisons to uniform mesh method, explicit adaptive method, and previous numerical experiments for crystal growth simulations are presented to demonstrate the accuracy and robustness of the proposed method.
KW - Adaptive mesh refinement
KW - Crystal growth
KW - Multigrid method
KW - Operator splitting
KW - Phase-field simulation
UR - http://www.scopus.com/inward/record.url?scp=84867525209&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2012.08.009
DO - 10.1016/j.ijheatmasstransfer.2012.08.009
M3 - Article
AN - SCOPUS:84867525209
SN - 0017-9310
VL - 55
SP - 7926
EP - 7932
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 25-26
ER -