  We present and evaluate a detailed multi-species two-phase thermodynamic
equilibrium model for large-eddy simulations (LES) of liquid-fuel injection and
mixing at high pressure. The model can represent the coexistence of
supercritical states and multi-component subcritical two-phase states. LES
results for the transcritical Spray A of the Engine Combustion Network (ECN)
are found to agree very well to available experimental data. We also address
well-known numerical challenges of trans- and supercritical fluid mixing and
compare a fully conservative formulation to a quasi conservative formulation of
the governing equations. Our results prove physical and numerical consistency
of both methods on fine grids and demonstrate the effects of energy
conservation errors associated with the quasi conservative formulation on
typical LES grids.
