Inverse Design of Transonic Wings Using Wing Planform and Target Pressure Optimization

A new method is presented for an efe cient inverse design of transonic wings with minimum drag and weight. To thisend,thetargetpressureoptimizationmethodisextendedforasimultaneousdesign ofwingplanform andtarget pressures so that an inverse design can be conducted with the optimized planform and section target pressures. During the optimization procedure, the maximum thickness of wing sections and spanwise lift distribution should be predicted without any e ow analysis, and response surfaces are, therefore, constructed for this purpose. Sample data points for the response surfaces are selected from the D-optimality and calculated by a thin-layer Navier ‐ Stokes code. For the optimization problem, a genetic algorithm is adopted. Design examples show that the present design method gives successful results with the computational cost reduced by one order of magnitude compared to a direct response surface construction for lift and drag coefe cients.

[1]  T Watson Layne,et al.  Multidisciplinary Optimization of a Supersonic Transport Using Design of Experiments Theory and Response Surface Modeling , 1997 .

[2]  Hyoung-Jin Kim,et al.  Dual-point design of transonic airfoils using the hybrid inverse optimization method , 1997 .

[3]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[4]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[5]  Raphael T. Haftka,et al.  Construction of response surfaces for design optimization applications , 1996 .

[6]  Antony Jameson,et al.  Lower-upper implicit schemes with multiple grids for the Euler equations , 1987 .

[7]  M. J. Rimlinger,et al.  Constrained Multipoint Aerodynamic Shape Optimization Using an Adjoint Formulation and Parallel Computers , 1997 .

[8]  W. L. Gray,et al.  A Method for Calculating the Subsonic Steady-State Loading on an Airplane With a Wing of Arbitrary Plan Form and Stiffness , 1953 .

[9]  M. J. Box,et al.  Factorial Designs, the |X′X| Criterion, and Some Related Matters , 1971 .

[10]  M. J. Box,et al.  On Minimum-Point Second-Order Designs , 1974 .

[11]  Leigh Ann Smith,et al.  A hybrid algorithm for transonic airfoil and wing design , 1987 .

[12]  Lakshmi N. Sankar,et al.  Airfoil design method using the Navier-Stokes equations , 1991 .

[13]  Sinan Eyi,et al.  Two-point transonic airfoil design using optimization for improved off-design performance , 1994 .

[14]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[15]  Shinichi Takahashi,et al.  INVERSE OPTIMIZATION OF TRANSONIC WING SHAPE FOR MID-SIZE REGIONAL AIRCRAFT , 1998 .

[16]  E. Torenbeek,et al.  Development and application of a comprehensive, design-sensitive weight prediction method for wing structures of transport category aircraft , 1992 .

[17]  Hyoung-Jin Kim,et al.  Aerodynamic Design of Transonic Wings Using the Target Pressure Optimization Approach , 1998 .

[18]  S. Obayashi,et al.  Genetic optimization of target pressure distributions for inverse design methods , 1996 .