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 1815-2406Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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:||16 Nov 2016 01:03|