Bi-point/bi-objective optimization design of airfoil using N-S equations

Based on the computation of N-S equations and the technique of wake integration method, the sharp of the airfoil was parametrically modeled, the bi-point (BP)/bi-objective (BO) optimization design of airfoil was discussed with the comparison of single-point (SP)/single-objective (SO) and single-point (SP)/bi-objective (BO) optimization. Powell method and objective function combination method was integrated. Numerical results of given air-foils (RAE2822 and quasi-global hawk airfoils) cases show that the BP/BO design method is compatible and effective for multiform design status and it is necessary and important to choose the objective function in the optimization method. The BP/BO optimal airfoils have better pressure distribution to the original ones, which leads to higher coefficient of lift and lower coefficient of drag, thus results in better integral performance. The BP/BO optimal airfoils also have better integral performance to the SP/SO and the SP/BO ones.