Tuesday, December 11, 2012

1212.2077 (John W. Barrett et al.)

Phase Field Models versus Parametric Front Tracking Methods: Are they
accurate and computationally efficient?

John W. Barrett, Harald Garcke, Robert Nürnberg
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Particular emphasis is put 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.
View original: http://arxiv.org/abs/1212.2077

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