Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement

Details Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement

1997-10-16

arxiv.org/abs/cond-mat/9710167v2

Physics

Condensed Matter

Materials Science

typo in a parameter of Fig. 1; 4 pages, 4 postscript figures, in LateX, (revtex)

Scientific paper

10.1103/PhysRevLett.80.3308

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

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