“…In Computational Fluid Dynamics (CFD) simulations of realistic multi-component vapor-liquid fluid flows, millions of phase equilibrium calculations are required every time step in the form of either the VT-flash or UV-flash, depending on the chosen formulation of the governing equations: The VT-flash is needed in cases where the overall specific volume, temperature and composition are known, such as for the carbon dioxide injection into subsurface reservoirs. 1,2 Methods that solve the compressible Navier-Stokes equations based on the conservation laws for mass, linear momentum and total energy, such as applied for the simulation of the trans-critical vaporization of liquid fuels, [3][4][5][6] require a UV-flash, where the input is the overall specific internal energy, volume, and composition. The calculation of thermodynamic equilibrium properties of multi-component multi-phase mixtures typically consumes more than three quarters of the total computational time 7,8 and thus imposes severe limitation on the tractable space-time resolution or even the computational feasibility of such numerical simulations.…”