Advancements in novel high efficiency IC engines, cryogenic rocket engines and cooling technologies have given rise to the need for accurate simulation capabilities of cryogenic jets. The ability to accurately simulate cryogenic jets will be pivotal in controlling the jet penetration and/or heat absorption depending upon the role of cryogenic fluids in such systems. In this paper, we present the numerical simulations of injection of two common cryogenic fluids in transportation and energy sector, i.e. LN 2 and CH 4 injection at supercritical pressures, using the new 'coolFoam' solver developed in-house for cryogenic simulations. The solver is a VoF based compressible two-fluid solver with diffusive mass and heat transfer. Real fluid thermophysical models are utilised to estimate the drastically varying fluid properties across these conditions. This solver enables us to accurately simulate and analyse a range of underlying thermophysical mechanisms in such jets. The different case configurations include working conditions of novel RSCE and cryogenic rocket engines, where fluid is injected as liquid as well as supercritical fluid to understand the pseudoboiling effects. Additionally, multi-specie/fluid configuration corresponding to real world engine chamber conditions, provide a critical insight into the role of thermophysical mechanisms combined with the mixing dynamics.