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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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 ![]() | Item type: | Article |
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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: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/41133 |
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