Abstract
A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.
Original language | English |
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Pages (from-to) | 252-269 |
Number of pages | 18 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 190 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1 Jun 2006 |
Event | International Conference on Mathematics and its Application - Duration: 28 May 2004 → 31 May 2004 |
Scopus Subject Areas
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Computation of free boundaries
- Finite volume method
- Moving mesh method
- Phase-field equations