Improving the efficiency of aerodynamic shape optimization

The computational efficiency of an aerodynamic shape optimization procedure that is based on discrete sensitivity analysis is increased through the implementation of two improvements. The first improvement involves replacing a grid-point-based approach for surface representation with a Bezier-Bernstein polynomial parameterization of the surface. Explicit analytical expressions for the grid sensitivity terms are developed for both approaches. The second improvement proposes the use of Newton's method in lieu of an alternating direction implicit methodology to calculate the highly converged flow solutions that are required to compute the sensitivity coefficients

[1]  G. R. Shubin,et al.  A comparison of optimization-based approaches for a model computational aerodynamics design problem , 1992 .

[2]  V. Venkatakrishnan.  Newton solution of inviscid and viscous problems , 1988 .

[3]  E. Greff,et al.  Application of direct inverse analogy method (DIVA) and viscous design optimization techniques , 1991 .

[4]  Oktay Baysal,et al.  Airfoil Shape Optimization Using Sensitivity Analysis on Viscous Flow Equations , 1993 .

[5]  W. K. Anderson,et al.  Comparison of Finite Volume Flux Vector Splittings for the Euler Equations , 1985 .

[6]  Surendra N. Tiwari,et al.  Grid and design variables sensitivity analyses for NACA four-digit wing-sections , 1993 .

[7]  O. Baysal,et al.  Aerodynamic Sensitivity Analysis Methods for the Compressible Euler Equations , 1991 .

[8]  William H. Mason,et al.  Smart aerodynamic optimization , 1983 .

[9]  V. Korivi,et al.  Sensitivity analysis, approximate analysis, and design optimization for internal and external viscous flows , 1991 .

[10]  Mohamed E. Eleshaky,et al.  A Computational Aerodynamic Design Optimization Method Using Sensitivity Analysis , 1992 .

[11]  R. M. Hicks,et al.  Numerical Airfoil Optimization Using a Reduced Number of Design Coordinates , 1976 .

[12]  G. Burgreen,et al.  Aerodynamic Shape Optimization Using Sensitivity Analysis on Third-Order Euler Equations , 1993 .

[13]  R. F. Warming,et al.  An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations , 1976 .

[14]  G. Vanderplaats,et al.  Structural optimization by methods of feasible directions. , 1973 .

[15]  Oktay Baysal,et al.  Aerodynamic design optimization using sensitivity analysis and computational fluid dynamics , 1991 .

[16]  O. Baysal,et al.  Aerodynamic shape optimization via sensitivity analysis on decomposed computational domains , 1992 .

[17]  H. Elbanna,et al.  Determination of aerodynamic sensitivity coefficients based on the three-dimensional full potential equation , 1992 .

[18]  Jr. Jules Joseph Lambiotte.  The solution of linear systems of equations on a vector computer. , 1975 .