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Phase-Field Formulation for Quantitative Modeling of Alloy Solidification

Alain Karma
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Abstract

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than previous formulations and permits to eliminate non-equilibrium effects at the interface. Dendrite growth simulations with vanishing solid diffusivity show that both the interface evolution and the solute profile in the solid are well resolved.

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Alain Karma. 2001-03-14. Phase-Field Formulation for Quantitative Modeling of Alloy Solidification. https://doi.org/10.1103/physrevlett.87.115701

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