Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

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

Keywords:   

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