Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?
Year: 2014
Communications in Computational Physics, Vol. 15 (2014), Iss. 2 : pp. 506–555
Abstract
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Here we focus on Stefan problems, and their quasi-static variants, with applications to crystal growth. New approaches with a high mesh quality for the parametric approximations of the resulting free boundary problems and new stable discretizations of the anisotropic phase field system are taken into account in a comparison involving benchmark problems based on exact solutions of the free boundary problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.190313.010813a
Communications in Computational Physics, Vol. 15 (2014), Iss. 2 : pp. 506–555
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 50