Edinburgh Research Explorer

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

Research output: Contribution to journalArticle

Related Edinburgh Organisations

Original languageEnglish
Pages (from-to)805-826
Number of pages22
JournalCommunications in computational physics
Volume1
Issue number5
Publication statusPublished - Oct 2006

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.

    Research areas

  • phase change, phase-field, equidistribution, moving meshes, adaptive method, MOVING MESH METHOD, NUMERICAL-SOLUTION, CRYSTAL-GROWTH, COMPUTATION, MODELS, SOLIDIFICATION, GENERATION, REFINEMENT, STEFAN, PDES

ID: 1739045