A numerical method is developed for the simulation of solidification of solutions/alloys. The heat and species transport equations are solved with appropriate interface conditions. The interface shape and thermal and solutal fields are calculated in a fully coupled manner. The effects of capillarity are included in the interfacial dynamics. The present mixed Wulerian-Lagrangian framework treats the immersed phase boundary as a sharp solid-fluid interface and a conservative finite-volume formulation allows boundary conditions at the moving surface to be exactly applied.
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