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

URN to cite this document:: urn:nbn:de:bvb:355-epub-346145
DOI to cite this document:: 10.5283/epub.34614

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert

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Date of publication of this fulltext: 30 Sep 2016 08:27

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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 ...