The numerical simulation of the three-dimensional flowfield of a shcramjet was performed using the WARP code, in which multispecies Favre-averaged Navier-Stokes equations are closed by the k-o turbulence model and the Wilcox dilational dissipation correction. The hydrogen/air chemical reactions are modeled by Jachimowsky's 9 species, 20 reaction model.This thesis addresses the problem of designing a shock-induced combustion ramjet (shcramjet) engine. Previous studies have investigated cantilevered ramp injectors using a two oblique shock external compression inlet with a hydrogen slot injector to suppress ignition. The present study uses a cowl to generate flow-turning angles of 12° and 16°. The reflected shocks induce combustion after ignition delays of 10.5 cm and 4.5 cm, respectively. It was found that maximum thrust potentials for each case were 203.4 and 218.8 Ns/kg, indicating that an increase in shock strength reduces the ignition delay without contributing to any significant increase in thrust potential.