A Moving Mesh Finite Element Method for the Solution of Two-Dimensional Stefan Problems

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...

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Bibliographic Details
Published inJournal of computational physics Vol. 168; no. 2; pp. 500 - 518
Main Authors Beckett, G., Mackenzie, J.A., Robertson, M.L.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 10.04.2001
Subjects
moving finite elements
phase change
Stefan problem
adaptive method
moving meshes
enthalpy
equidistribution
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Summary: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 semi-implicit 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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.2001.6721