A basic flowfield with controlled center body and two incident curved shock waves was designed by rotational method of characteristics. The two incident shock waves were intersected at the initial point of the center body. Both incident shock waves and reflected shock waves were inversely designed by the given radial total pressure recovery coefficient distribution

and the wall was inversely designed by the given axial Mach number distribution. The basic flowfield with high compression efficiency was divided into three shock waves and four regions. On the basis of the basic flowfield

the inward turning inlet with circle shape intake was designed and corrected by viscosity. The computational results indicate that the flowfield characteristics and the shock waves of the core of inward turning inlet are consistent with those of the basic flowfield at design point. The inlet has good compression efficiency and mass capture ratio with incoming Mach number varying from 4.0 to 7.0. At design point

the pressure ratio of the throat is 17.7 and the total pressure recovery coefficient is 0.729. The internal total drag coefficient decreases from 0.23 to 0.22 with incoming Mach number varying from 5.0 to 7.0.