“…A remarkable progress was recognized in 2018, when a thermodynamically stable multiphase equilibrium calculation algorithm of hydrocarbon mixtures based on realistic equation of state (e.g., Peng-Robinson Equation of State) at specified moles, volume and temperature (NVT-flash) was generated and proposed Sun, 2018a, 2018b;Sun, 2019). Robustness of this algorithm is preserved by proved consistency with the first and second laws of thermodynamics and capillarity can be incorporated in this algorithm to extend the application into unconventional reservoirs (e.g., shale gas reservoirs and tight oil reservoirs) and carbon dioxide sequestration (with cubic-plus-association type of equation of states) (Zhang et al, 2019a(Zhang et al, , 2019bLi et al, 2020). Sparse grids method and parallel computing techniques have been involved in further studies to accelerate the phase equilibrium estimation on parallel computers (Wu et al, 2015a).…”