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An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification

Rosam, J., Jimack, P.K. and Mullis, A.M. (2008) An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification. Acta Materialia, 56 (17). pp. 4559-4569. ISSN 1359-6454

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Abstract

Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the problem we have found that at high Lewis number a minimum in the dendrite tip radius is predicted with increasing undercooling, as predicted by marginal stability theory. Over the dimensionless undercooling range 0.2–0.8 the radius selection parameter, σ*, was observed to vary by over a factor of 2 and in a non-monotonic fashion, despite the anisotropy strength being constant.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Elsevier B.V. This is an author produced version of a paper published in Acta Materialia. Uploaded in accordance with the publisher's self archiving policy.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Engineering (Leeds) > School of Process, Environmental and Materials Engineering (Leeds) > Institute for Materials Research (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 05 Dec 2008 16:12
Last Modified: 08 Feb 2013 17:05
Published Version: http://dx.doi.org/10.1016/j.actamat.2008.05.029
Status: Published
Publisher: Elsevier B.V.
Identification Number: 10.1016/j.actamat.2008.05.029
URI: http://eprints.whiterose.ac.uk/id/eprint/4984

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