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A moving mesh method for the solution of the one-dimensional phase-field equations

Mackenzie, J.A. and Robertson, M.L. (2002) A moving mesh method for the solution of the one-dimensional phase-field equations. Journal of Computational Physics, 181 (2). pp. 526-544. ISSN 0021-9991

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Abstract

A moving mesh method is developed for the numerical solution of one-dimensional phase-change problems modelled by the phase-field equations. The computational mesh is obtained by equidistribution of a monitor function tailored for the functional variation of the phase field in the interfacial region. Existence and uniqueness of the discretised equations using a moving mesh are also established. Numerical results are given for classical and modified Stefan test problems. The numerical algorithm is relatively simple and is shown to be far more efficient than fixed grid methods.

Item type: Article
ID code: 2079
Keywords: phase-field equations, Stefan test, numerical mathematics, computational physics, Mathematics, Physics, Physics and Astronomy (miscellaneous), Computer Science Applications
Subjects: Science > Mathematics
Science > Physics
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: 23 Feb 2007
    Last modified: 04 Sep 2014 11:05
    URI: http://strathprints.strath.ac.uk/id/eprint/2079

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