PHASES MODEL FOR BINARY-CONSTITUENT SOLID-LIQUID PHASE TRANSITION, PART 1: NUMERICAL METHOD

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Abstract
A PHASES (PHysicat Algorithm for Species-Energy Simulation) model was developed for applications to binary-constituent solid-liquid phase-transition problems. A control-volume-based finite-element formulation of the mixture continuum equations was employed in the solid, melt, and liquid regions. An implicit enthalpy-based procedure solved the species and energy conservation equations in conjunction with a phase iteration procedure and the binary phase diagram. The coupled multiphase mass-momentum equation set was solved with a simultaneous colocated variable technique. In this approach, the multiphase pressure-velocity coupling was completed by an implicit closure of the conservation and integration point mass-momentum transport equations instead of a segregated approach. In addition, a diffusion-based nonequilibrium model and an isotherm gradient (IG) procedure were developed for the simulation of nonequilibrium and interdendritic anisotropic conditions during phase transition.