In various industrial combustion devices, such as liquid rocket engines or Diesel engines, the operating point varies over a wide range of pressure. These pressure variations can lead to a change of thermodynamic regime, switching from two-phase injection to transcritical injection. This change may modify the topology of the flow and the mixing, thereby impacting the flame dynamics. In the present contribution, a framework that is able to simulate compressible flows under both subcritical and supercritical states within the same solver is presented. This is achieved using a multifluid approach coupled with a cubic equation of state (EoS). Liquid/vapor equilibrium is computed within the binodal region to ensure the convexity of the EoS. Examples of coaxial flame simulations are provided, showing good agreements with experimental visualizations.