Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement
材料科学
2009-10-30 v2 斑图形成与孤子
patt-sol
摘要
We study dendritic microstructure evolution using an adaptive grid, finite element method applied to a phase-field model. The computational complexity of our algorithm, per unit time, scales linearly with system size, rather than the quadratic variation given by standard uniform mesh schemes. Time-dependent calculations in two dimensions are in good agreement with the predictions of solvability theory, and can be extended to three dimensions and small undercoolings
引用
@article{arxiv.cond-mat/9710167,
title = {Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement},
author = {Nikolas Provatas and Nigel Goldenfeld and Jonathan Dantzig},
journal= {arXiv preprint arXiv:cond-mat/9710167},
year = {2009}
}
备注
typo in a parameter of Fig. 1; 4 pages, 4 postscript figures, in LateX, (revtex)