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

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.

ORCID iDs

MacKenzie, John ORCID: https://orcid.org/0000-0003-4412-7057

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• Item metadata

  Item type:	Article
  ID code:	41133
  Dates:	Date Event 2006 Published
  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:	31 Aug 2022 11:32
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/41133