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

✍ Scribed by J. Rosam; P.K. Jimack; A.M. Mullis

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 551 KB
• Volume: 56
• Category: Article
• ISSN: 1359-6454
• DOI: 10.1016/j.actamat.2008.05.029

✦ Synopsis

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, r * , was observed to vary by over a factor of 2 and in a non-monotonic fashion, despite the anisotropy strength being constant.