| Interval analysis, a robust computational technique, had been used for solving the difficult nonlinear problems arising in the modeling of various equation of states for phase behavior. It had been shown that, interval analysis can be used with mathematical and computational guarantees of certainty, to find the global optimum of a nonlinear function or to enclose any and all roots of a system of nonlinear equations. As shown in the applications here to phase stability analysis, a preliminary step to perform phase equilibrium, interval analysis provides a method that can guarantee that the correct result is found, thus eliminating any computational problem that may potentially be encountered with current available techniques. This computational method is initialization independent, straightforward to use, and can be applied in connection with any equation of state model. Applications here involve cubic equation of state with standard mixing rule and Wong/Sandler's mixing rule, and SAFT equation of state. |
