Combined Optimization and Inverse Design of 3-D Aerodynamic Shapes

The main drawback of using constrained optimization in 3-D aerodynamic shape design is that it requires anywhere from hundreds to tens of thousands of calls to a 3-D flow-field analysis code. Since certain general 3-D aerodynamic shape inverse design methodologies require only a few calls to a modified 3-D flow-field analysis code, it would be highly desirable to create a hybrid new design algorithm that would combine some of the best features of both approaches while requiring less computing time than a few dozen calls to the 3-D flow-field analysis code. We will discuss two such hybrid design formulations that have been proven to work and are distinctly different from each other.

[1]  A. Jameson,et al.  Control theory based airfoil design for potential flow and a finite volume discretization , 1994 .

[2]  George S. Dulikravich,et al.  Shape inverse design and optimization for three-dimensional aerodynamics , 1995 .

[3]  Design of plane diffusers in turbulent flow , 1995 .

[4]  Antony Jameson,et al.  Aerodynamic design via control theory , 1988, J. Sci. Comput..

[5]  F. Angrand OPtimum design for potential flows , 1983 .

[6]  S. Takanashi,et al.  Iterative three-dimensional transonic wing design using integral equations , 1985 .

[7]  Eyal Arian,et al.  MULTIGRID ONE SHOT METHODS FOR OPTIMAL CONTROL PROBLEMS: INFINITE DIMENSIONAL CONTROL , 1994 .

[8]  A. Jameson Optimum aerodynamic design via boundary control , 1994 .

[9]  J. Lions Optimal Control of Systems Governed by Partial Differential Equations , 1971 .

[10]  Shlomo Ta'asan,et al.  Trends in aerodynamics design and optimization - A mathematical viewpoint , 1995 .

[11]  Shigeru Obayashi,et al.  Genetic optimization of target pressure distributions for inverse design methods , 1995 .

[12]  A. Jameson Optimum aerodynamic design using CFD and control theory , 1995 .

[13]  George S. Dulikravich,et al.  Three-dimensional aerodynamic shape optimization using genetic evolution and gradient search algorithms , 1996 .

[14]  George S. Dulikravich,et al.  Aerodynamic shape design and optimization - Status and trends , 1992 .

[15]  S. Taasan One shot methods for optimal control of distributed parameter systems 1: Finite dimensional control , 1991 .

[16]  R. Temam,et al.  On some control problems in fluid mechanics , 1990 .

[17]  Antony Jameson,et al.  Control theory based airfoil design using the Euler equations , 1994 .

[18]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[19]  Vijay Modi,et al.  Optimum design of minimum drag bodies in incompressible laminar flow using a control theory approach , 1994 .

[20]  H. Çabuk,et al.  Adjoint operator approach to shape design for internal incompressible flows , 1991 .

[21]  G. R. Inger Application of Oswatitsch's theorem to supercritical airfoil drag calculation , 1991 .

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

[23]  Vijay Modi,et al.  Design of minimum drag bodies in incompressible laminar flow , 1996 .