Phase-field versus level set method for 2D dendritic growth

Authors:
Vladimir Slavov;Stefka Dimova
Affiliations:
Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria;Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria
Venue:
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Year:
2006

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Abstract

The goal of the paper is to review and compare two of the most popular methods for modeling the dendritic solidification in 2D, that tracks the interface between phases implicitly, e.g. the phase-field method and the level set method. We apply these methods to simulate the dendritic crystallization of a pure melt. Numerical experiments for different anisotropic strengths are presented. The two methods compare favorably and the obtained tip velocities and tip shapes are in good agreement with the microscopic solvability theory.