### Abstract

Language | English |
---|---|

Pages | 805-826 |

Number of pages | 22 |

Journal | Communications in Computational Physics |

Volume | 1 |

Issue number | 5 |

Publication status | Published - 2006 |

### Fingerprint

### Keywords

- phase change
- phase-field
- equidistribution
- moving meshes
- adaptive method

### Cite this

*Communications in Computational Physics*,

*1*(5), 805-826.

}

*Communications in Computational Physics*, vol. 1, no. 5, pp. 805-826.

**An r-adaptive finite element method for the solution of the two-dimensional phase-field equations.** / Beckett, G.; MacKenzie, John; Robertson, M.L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - An r-adaptive finite element method for the solution of the two-dimensional phase-field equations

AU - Beckett, G.

AU - MacKenzie, John

AU - Robertson, M.L.

PY - 2006

Y1 - 2006

N2 - An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations. The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods. The phase-field equations are discretised by a Calerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.

AB - An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations. The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods. The phase-field equations are discretised by a Calerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.

KW - phase change

KW - phase-field

KW - equidistribution

KW - moving meshes

KW - adaptive method

UR - http://www.global-sci.com/

M3 - Article

VL - 1

SP - 805

EP - 826

JO - Communications in Computational Physics

T2 - Communications in Computational Physics

JF - Communications in Computational Physics

SN - 1815-2406

IS - 5

ER -