AIRFOIL OPTIMIZATION WITH TRANSITION （翼型优化与转型）.pdf

VI International Conference on Adaptive Modeling and Simulation ADMOS 2013 J. P. Moitinho de Almeida, P. Díez, C. Tiago and N. Parés (Eds) AIRFOIL OPTIMIZATION WITH TRANSITION CURVE AS OBJECTIVE FUNCTION PEDRO V. GAMBOA* AND MIGUEL A.R. SILVESTRE† Aerospace Sciences Department Universidade da Beira Interior 6200-254 Covilhã, Portugal www.ubi.pt * pgamboa@ubi.pt, † mars@ubi.pt Key words: Airfoil, Optimization, Low Reynolds, Aerodynamic Optimization, Transition Curve, Long Endurance UAV. Abstract. The present work describes the design optimization of a low Reynolds number high lift airfoil where the objective function is that curve defined by the lift coefficient variation with the boundary layer transition position along the upper and lower surfaces of the airfoil. An aerodynamic shape optimization program using XFOIL as the solver, a viscous/inviscid two-dimensional panel method formulation code, and a sequential quadratic programming optimization routine, solves a minimization problem to determine the optimal airfoil geometry which minimizes the difference between its lift coefficient versus transition position curves and the specified objective curves while subject to geometric constraints and constant product of Reynolds number with the square root of lift coefficient for a given interval of lift coefficient values. The airfoil design variables are B-spline control points which define