Demonstration of multipoint design procedures for transonic airfoils

Two multipoint design procedures were applied to reduce the wave drag of a baseline airfoil at two design points. The first procedure iteratively averages two intermediate airfoil shapes, each one redesigned at one of the two design points, to develop an improved airfoil. The second procedure iteratively averages two pressure distributions, each one obtained from an intermediate airfoil redesigned at one of the two design points, to develop an improved airfoil. Successful application of each procedure to design an improved airfoil for design points with similar chordwise pressure distributions, shock locations, and shock strengths is demonstrated. Application of a combination of both procedures to design an improved airfoil at design points with dissimilar chordwise pressure distributions, shock locations, and shock strengths is also presented. Results from wind tunnel tests of the baseline airfoil and of the improved airfoil for the dissimilar design points verified the predicted drag improvements.