In cryogenic upper stage tanks or future cryogenic in space depots, phase change induced by temperature and pressure variations can be an issue. Pool cavitation is a complex compressible phenomenon: the bubble growth is induced by the expansion of the vapour and by phase change. In the present work, an innovative and recently developed numerical algorithm for a compressible two-phase flow solver, accounting for phase change and capillary effects, will be used. It solves the complete set of Navier-Stokes governing equations making use of a compressible semi-implicit projection scheme and uses a level set/ghost fluid method to track the interface. A generalized cubic equation of state is used in order to describe the liquid, the vapor and the interface saturation conditions ensuring a consistent thermodynamic description. The solver will be introduced, with particular attention devoted to the phase change modelling, and validated against experimental data for the simulation of a single bubble cavitation at the wall (see Figure). The solver with eventually be used to carry out a parametric study varying the depressurization time and the depressurization level for different cryogenic fluids.