@Article{CiCP-15-506, author = {}, title = {Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {2}, pages = {506--555}, 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 the anisotropic phase field system are taken into account in a comparison involving benchmark problems based on exact solutions of the free boundary problem.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.190313.010813a}, url = {http://global-sci.org/intro/article_detail/cicp/7104.html} }