A new index 2 Runge-Kutta method for the simulation of batch and discontinuous processes

Abstract A solver capable of handling discontinuous differential-algebraic equations, up to a different index of 2, has been implemented in the process simulator NIMBUS. This solver is constructed from a Runge-Kutta method and so, unlike other high index solvers, does not require symbolic differentiation of the equation set. This paper outlines the solver, its implementation, and compares its performance with that of other solvers.