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

Beckett, G. and Mackenzie, John A. and Robertson, M.L. (2001) A moving mesh finite element method for the solution of two-dimensional Stefan problems. Journal of Computational Physics, 168 (2). pp. 500-518. ISSN 0021-9991

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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.

Item type: Article
ID code: 2006
Keywords: enthalpy, phase change, equidistribution, stefan problem, moving meshes, adaptive method, moving finite elements, Mathematics, Physics and Astronomy (miscellaneous), Computer Science Applications
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Statistics and Modelling Science
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 25 Mar 2007
    Last modified: 04 Sep 2014 10:38
    URI: http://strathprints.strath.ac.uk/id/eprint/2006

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