An r-adaptive finite element method for the solution of the two-dimensional phase-field equations

Beckett, G. and MacKenzie, John and Robertson, M.L. (2006) An r-adaptive finite element method for the solution of the two-dimensional phase-field equations. Communications in Computational Physics, 1 (5). pp. 805-826. ISSN 1815-2406

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Abstract

An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations. The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods. The phase-field equations are discretised by a Calerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.

Creators(s):	Beckett, G., MacKenzie, John ORCID: https://orcid.org/0000-0003-4412-7057 and Robertson, M.L.;
Item type:	Article
ID code:	41133
Keywords:	phase change, phase-field, equidistribution, moving meshes, adaptive method, Physics, Physics and Astronomy (miscellaneous)
Subjects:	Science > Physics
Department:	Faculty of Science > Mathematics and Statistics
Depositing user:	Pure Administrator
Date deposited:	14 Sep 2012 15:23
Last modified:	11 Feb 2021 10:03
Related URLs:	Journal or Publication
URI:	https://strathprints.strath.ac.uk/id/eprint/41133
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