Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2014) Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient? COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 15 (2). pp. 506-555. ISSN 1815-2406, 1991-7120
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRIC EVOLUTION-EQUATIONS; FINITE-ELEMENT APPROXIMATION; CAHN-HILLIARD EQUATION; MULLINS-SEKERKA PROBLEM; SHARP INTERFACE LIMITS; CRYSTAL-GROWTH; DENDRITIC SOLIDIFICATION; NUMERICAL-SIMULATION; PARABOLIC EQUATIONS; 3 DIMENSIONS; Phase field models; parametric sharp interface methods; Stefan problem; anisotropy; solidification; crystal growth; numerical simulations; benchmark problems |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 06:48 |
| Last Modified: | 29 Nov 2019 06:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10779 |
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