Development of a Phase-Field Model for Simulating Dendritic Growth in a Convection-Dominated Flow Field

The effect of flow convection is taken into account in the currently developed phase-field model (PFM) for simulating dendritic growth. In previous PFM studies, flow over a stationary object is wrongly predicted since the predicted velocity magnitude near the fluid-solid interface is not negligibly small. To tackle this problem, the Navier-Stokes equations are solved only in the liquid, while zero flow velocity is prescribed in the stationary object. Simulated results are compared with those computed from two previously proposed models to justify the newly proposed phase-field model.