Exceptionally reliable density-solving algorithms for multiparameter mixture models from Chebyshev expansion rootfinding

摘要

Calculation of the density of a mixture for a given temperature, pressure, and composition from multi-parameter Helmholtz-energy-explicit mixture models (often referred to as the GERG formulation) sometimes fails; failures are caused by insufficiently accurate estimations of the density root, but also by insufficiently robust numerical methods that may not converge to the desired density solution. Furthermore, generally only one density solution is located at a time.