Non-equilibrium features of the reentry flows at moderately high altitudes between 95 and 80 km for a vehicle of a shape of the Crew Exploration Vehicle (CEV) were studied by Direct Simulation Monte Carlo Method (DSMC) and the Kolmogorov-Smirnov statistical test. The locations of the regions of non-equilibrium recognized by the test were compared with the locations of chemically active areas in the flow to establish the criteria for switching between different computational methods applied to different areas in the flow. Application of an accurate kinetic computational technique, such as DSMC is suggested for areas with strong non-equilibrium features and with active flow state chemistry. The near equilibrium as well as chemically inactive portions of the flow can be solved with either statistical BGK method or with CFD approaches. It was found that both thermal non-equilibrium portions of the flow as well as areas of active molecular nitrogen dissociation (chemical non-equilibrium) become narrower as the altitude decreases. An the same time, these two areas do not coincide making reliance on only one switching criteria problematic. A combined criterion that includes both the Kolmogoriov-Smirnov test and computed or estimated dissociation rates is suggested.