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

This EPSRC funded (GR/T10374) work reports the first application of advanced numerical techniques to non-isothermal phase-field modelling. This makes rapid solidification problems, in which both thermal and chemical transport are important, (such as in welding and powder metal production) amenable to phase-field simulation despite severe multi-scale issues. The work reported led directly to the award of two follow-on grants to extend the methodology to 3-dimensional (EP/F010354) and multi-phase (EP/H048685) systems. Moreover, the methodology reported has been adopted by the group of Guo, Mi & Grant at the Universities of Oxford & Hull (see e.g. J. Comp. Phys. 231:2012, 1781).