“…Research on numerical analysis and methods is presented in [ 21 ], where Fan, Qiao, and Sun study a thermodynamically consistent, and robust numerical scheme for the dynamical modelling of composition variation in the framework of the modified Helmholtz free energy coupling with the realistic equations of state. Being computationally efficient and memory saving, the scheme was proved to be unconditionally stable, being the implementation based on the single-component system, and does not required to choose a reference species for multicomponent fluids.…”