TY - JOUR
T1 - Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?
AU - John W. Barrett, Harald Garcke & Robert Nürnberg
JO - Communications in Computational Physics
VL - 2
SP - 506
EP - 555
PY - 2014
DA - 2014/02
SN - 15
DO - http://doi.org/10.4208/cicp.190313.010813a
UR - https://global-sci.org/intro/article_detail/cicp/7104.html
KW - 
AB - <p style="text-align: justify;">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.</p>