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

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

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Date of publication of this fulltext: 13 Mar 2013 09:57

Abstract

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 ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2012
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35K55MSC
35R35MSC
35R37MSC
53C44MSC
65M12MSC
65M50MSC
65M60MSC
74E10MSC
74E15MSC
74N20MSC
80A22MSC
82C26MSC
Keywords:phase field models, parametric sharp interface methods, Stefan problem, anisotropy, solidification, crystal growth, numerical simulations, benchmark problems
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:27914
Owner only: item control page

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