To reduce computational consumption in the optimization process of hypersonic inward turning inlet,single and multi-objective optimization designs were carried out based on single sweep parabolized Navier-Stokes(SSPNS) algorithm. The free-stream mach number of 4.5 and convergence ratio of 5 were set as the computational conditions. The flow field structure calculated by SSPNS algorithm was similar to that by NS algorithm,and the total pressure recovery,Mach number and pressure rise of outlet section showed ...