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Article overview
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Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement | Nikolas Provatas
; Nigel Goldenfeld
; Jonathan Dantzig
; | Date: |
16 Oct 1997 | Subject: | Materials Science; Pattern Formation and Solitons | cond-mat.mtrl-sci nlin.PS patt-sol | Affiliation: | 1 and 2), Nigel Goldenfeld , and Jonathan Dantzig ( University of Illinois at Urbana-Champaign, Department of Physics, Urbana, IL University of Illinois at Urbana-Champaign, Department of Mechanical and Industrial Engineering, Urbana, IL | 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 | Source: | arXiv, cond-mat/9710167 | Services: | Forum | Review | PDF | Favorites |
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