A new approach to multi-phase formulation for the solidification of alloys

► Identifies three major defects in the standard Lagrange Multiplier formulation of phase-field modelling of solidification. ► Proposes a set of attributes that a successful formulation must have. ► Identifies where the degree of freedom lies in the system to allow a formulation that satisfies the above criteria. ► Proposes alternatives that satisfy the criteria. ► Numerical results are given which support the new model.