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Numericalsimulations using the inviscid Euler equations with the detailed chemicalreaction models are carried out to investigate the oblique shock to detonationtransition in hydrogen-air mixtures. To mimic the flow in Oblique DetonationWave Engines (ODWE), the combustible gas mixtures, with low pressure and hightemperature, are derived from assumed flight conditions. Numerical results showthat the oblique detonation initiation, i.e. oblique shock to detonationtransition, is achieved through the smooth transition, different from theabrupt transition studied widely before. Then the formation mechanism of smoothtransition is discussed, and the characteristic length of initiation process isdefined to perform quantitative analysis. The length dependences ondetonation-induced wedge angle, incident Ma and flight Ma are studied anddiscussed.