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 (http://dx.doi.org/10.1006/jcph.2002.7140)

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.

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• Item metadata

  Item type:	Article
  ID code:	2079
  Dates:	Date Event 2002 Published
  Subjects:	Science > Mathematics Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics and Statistics > Statistics and Modelling Science
  Depositing user:	Strathprints Administrator
  Date deposited:	23 Feb 2007
  Last modified:	08 Apr 2024 15:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/2079