We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interfacemodels of solidification. Here we focus on Stefan problems, and their quasi-static variants,with applications to crystal growth. New approacheswith a highmesh 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. ©2014 Global-Science Press.
Phase field models versus parametric front tracking methods: Are they accurate and computationally efficient? / Barrett, J. W.; Garcke, H.; Nürnberg, R.. - In: COMMUNICATIONS IN COMPUTATIONAL PHYSICS. - ISSN 1815-2406. - 15:2(2014), pp. 506-555. [10.4208/cicp.190313.010813a]
Phase field models versus parametric front tracking methods: Are they accurate and computationally efficient?
Nürnberg R.
2014-01-01
Abstract
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interfacemodels of solidification. Here we focus on Stefan problems, and their quasi-static variants,with applications to crystal growth. New approacheswith a highmesh 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. ©2014 Global-Science Press.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
