Modelling and simulation of macrosegregation has experienced explosive growth since the
pioneering studies of Flemings and co-workers in the mid-1960s. This paper presents a …

Mathematical modeling of mass, momentum, heat, and species transport phenomena
occurring during solidification of metal alloys is reviewed. Emphasis is placed on the …

After a brief review of current source-based methods for modeling solidification phase
change systems, a new source-based method for the treatment of latent heat evolution is …

The aim of this paper is to explore the range of possible one-phase models of binary alloy
solidification. Starting from a general two-phase description, based on the two-fluid model …

A three-dimensional laser-keyhole welding model is developed, featuring the self-consistent
evolution of the liquid/vapor (L/V) interface together with full simulation of fluid flow and heat …

The formation of macrosegregation by multicomponent thermosolutal convection during the
solidification of steel is simulated by simultaneously solving macroscopic mass, momentum …

Laser cladding is one of the material additive manufacturing processes used to produce a
metallurgically bonded deposition layer. To obtain a high-quality resulting part, a deep …

Micro-macrosegregation calculations have been performed for a rectangular cavity
containing either a Pb-48 wt pct Sn alloy or a Sn-5 wt pct Pb alloy. The numerical results …

Numerical simulations of the columnar dendritic solidification of a Pb-20 wt% Sn alloy in a
square cavity cooled from one side and fed by a rectangular riser are reported. Overall …

A review of numerical techniques for the solution of heat and mass transfer problems with
solid/liquid phase change is presented. The mathematical model for a description of a …