Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement

Preprint

21 October 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9710167

Abstract

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

Keywords

DENDRITIC MICROSTRUCTURES
MICROSTRUCTURE EVOLUTION
ADAPTIVE MESH REFINEMENT
MICROSTRUCTURES USING
FINITE ELEMENT METHOD
EFFICIENT COMPUTATION
ALGORITHM

All Related Versions

Version 1, 1997-10-16, ArXiv
Version 2, 1997-10-21, ArXiv
Published version: Physical Review Letters, 80 (15), 3308.

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