An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

Year:    2006

Communications in Computational Physics, Vol. 1 (2006), Iss. 5 : pp. 805–826

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 discretized by a Galerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-CiCP-7980

Communications in Computational Physics, Vol. 1 (2006), Iss. 5 : pp. 805–826

Published online:    2006-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Phase change