Towards a quantitative phase-field model of two-phase solidification

¹Laboratoire de Physique de la Matière Condensée, CNRS/Ecole Polytechnique, 91128 Palaiseau, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 26, 2003

Abstract:

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface limit. Convergence tests and comparisons with boundary integral simulations of eutectic growth show good accuracy for steady-state lamellae, but the results for limit cycles depend on the interface thickness through the trijunction behavior. This raises the fundamental issue of diffuse multiple-junction dynamics.

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