1. A system, comprising: a computer system comprising at least one processor; a thermodynamic state solver application that, when executed by the at least one processor, computes a flash equilibrium state solution for each of a plurality of nodes in a thermodynamic network and determines for each of the plurality of nodes at least one sensitivity of a first thermodynamic property with reference to at least one second thermodynamic property; and a thermodynamic system solver application that, when executed by the at least one processor, computes a pressure at each of the nodes and flows between the nodes based at least in part on the sensitivities, wherein a result based on the pressures and flows is determined.