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

By J. Rosam, P.K. Jimack and A.M. Mullis

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.\u

Publisher: Elsevier B.V.
Year: 2008
OAI identifier: oai:eprints.whiterose.ac.uk:4984

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