A moving mesh finite element method for the solution of two-dimensional Stefan problems

G. Beckett, John A. Mackenzie, M.L. Robertson

Research output: Contribution to journalArticle

74 Citations (Scopus)

Abstract

An r -adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of two-dimensional heat conduction problems with a phase change. The grid is obtained from a global mapping of the physical to the computational domain which is designed to cluster mesh points around the interface between the two phases of the material. The enthalpy equation is discretised using a semiimplicit Galerkin finite element method using linear basis functions. The moving finite element method is applied to problems where the phase front is cusp shaped and where the interface changes topology.
LanguageEnglish
Pages500-518
Number of pages18
JournalJournal of Computational Physics
Volume168
Issue number2
DOIs
Publication statusPublished - 10 Apr 2001

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mesh
Enthalpy
finite element method
enthalpy
Finite element method
cusps
Heat conduction
conductive heat transfer
topology
grids
Topology
formulations

Keywords

  • enthalpy
  • phase change
  • equidistribution
  • stefan problem
  • moving meshes
  • adaptive method
  • moving finite elements

Cite this

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A moving mesh finite element method for the solution of two-dimensional Stefan problems. / Beckett, G.; Mackenzie, John A.; Robertson, M.L.

In: Journal of Computational Physics, Vol. 168, No. 2, 10.04.2001, p. 500-518.

Research output: Contribution to journalArticle

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KW - enthalpy

KW - phase change

KW - equidistribution

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KW - adaptive method

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