  The determination of liquid phase equilibria plays an important role in
chemical process simulation. This work presents a generalization of an approach
called the convex envelope method (CEM), which constructs all liquid phase
equilibria over the whole composition space for a given system with an
arbitrary number of components. For this matter, the composition space is
discretized and the convex envelope of the Gibbs energy graph is computed.
Employing the tangent plane criterion, all liquid phase equilibria can be
determined in a robust way. The generalized CEM is described within a
mathematical framework and it is shown to work numerically with various
examples of up to six components from the literature.
