Patent ID: 8165860

Claim:
A system, comprising: a computer system comprising at least one processor; a thermodynamic process simulation application; and a thermodynamic equation of state application that, when executed by the at least one processor of the computer system, determines a density root based on at least a specified pressure, a specified temperature, and a first point of departure from an equation of state, wherein the first point of departure is determined based on a proportional relationship between the ratio of pressure to density of the equation of state at the first point of departure and the rate of change of pressure with respect to density of the equation of state at the first point of departure, and wherein the density root is determined as a pseudo-density when the specified pressure is less than the pressure at the first point of departure, wherein the thermodynamic process simulation application executes on the at least one processor of the computer system and invokes the thermodynamic equation of state application iteratively to determine a result based on the density root determined by the thermodynamic equation of state application.