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

## 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 |
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ID code: | 2079 |

Keywords: | phase-field equations, Stefan test, numerical mathematics, computational physics, Mathematics, Physics |

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 Oct 2012 15:23 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2079 |

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