Mesoscopic modelling of columnar solidification

4th International Conference on Advances in Solidification Processes

材料科学;物理学

Zalonik, M.^1 ; Viardin, A.^2 ; Souhar, Y.^1 ; Combeau, H.^1 ; Apel, M.^2

Institut Jean Lamour, CNRS, Université de Lorraine, Nancy Cedex

F-54011, France^1

Access E.V., Intzestr. 5, Aachen

D-52072, Germany^2

关键词: Columnar solidification;    Computational costs;    Concentration fields;    Dendritic morphology;    Dendritic structures;    Mesoscopic modelling;    Phase field methods;    Phase-field simulation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/117/1/012013/pdf
DOI  :  10.1088/1757-899X/117/1/012013

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

We used two complementary modeling approaches for the simulation of columnar growth in directional solidification of organic alloys: a phase-field model and a mesoscopic envelope model of dendritic growth. While the phase-field method captures the details of the dendritic structure and of the growth dynamics, the mesoscopic model approximates the complex dendritic morphology by its envelope. The envelope growth is deduced from the velocities of the dendrite tips, calculated by an analytical LGK-type tip model that is matched to the heat and concentration fields in the stagnant film around the envelope. The computational cost of the mesoscopic model is several orders of magnitude lower and can bridge the gap between phase-field and macroscopic models. We demonstrate the applicability of the mesoscopic model to columnar growth and discuss its possibilities and limitations by comparisons with phase-field simulations for the same conditions.