A convex hull algorithm for a grid minimization of Gibbs energy as initial step in equilibrium calculations in two-phase multicomponent alloys

► Calphad description of the Gibbs energies. ► First step: convex hull construction with Quick Hull algorithm. ► Second step: solving equilibrium equations with Newton-Raphson. ► Avoid any metastable equilibria. ► Optimal choice of the discretization ensuring fast calculations.