Survey of Shape Parameterization Techniques for High-Fidelity Multidisciplinary Shape Optimization

A survey is provided of shape parameterization techniques formultidisciplinary optimization, and some emerging ideas are highlighted. The survey focuses on the suitability of available techniques for multidisciplinary applications of complex cone gurations using high-e delity analysis tools such as computational e uid dynamics and computational structural mechanics. The suitability criteria are based on the efe ciency, effectiveness, ease of implementation, and availability of analytical sensitivities for geometry and grids. A section on sensitivity analysis, grid regeneration, and grid deformation techniques is also provided.

[1]  M. F. Rubinstein,et al.  Automated Structural Synthesis Using a Reduced Number of Design Coordinates , 1973 .

[2]  R. M. Hicks,et al.  Wing Design by Numerical Optimization , 1977 .

[3]  Michael A. Saunders,et al.  Computing Finite-Difference Approximations to Derivatives for Numerical Optimization. , 1980 .

[4]  Alan H. Barr,et al.  Global and local deformations of solid primitives , 1984, SIGGRAPH.

[5]  V. Braibant,et al.  Shape optimal design using B-splines , 1984 .

[6]  R. T. Haftka,et al.  Selecting step sizes in sensitivity analysis by finite differences , 1985 .

[7]  G. B. Cosentino,et al.  Numerical optimization design of advanced transonic wing configurations , 1985 .

[8]  Thomas W. Sederberg,et al.  Free-form deformation of solid geometric models , 1986, SIGGRAPH.

[9]  Yunliang Ding,et al.  Shape optimization of structures: a literature survey , 1986 .

[10]  R. Haftka,et al.  Structural shape optimization — a survey , 1986 .

[11]  Ren-Jye Yang,et al.  Accuracy of the domain material derivative approach to shape design sensitivities , 1987 .

[12]  A. Belegundu,et al.  A shape optimization approach based on natural design variables and shape functions , 1988 .

[13]  J. Batina.  Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .

[14]  CoquillartSabine.  Extended free-form deformation: a sculpturing tool for 3D geometric modeling , 1990 .

[15]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[16]  Sabine Coquillart,et al.  Extended free-form deformation: a sculpturing tool for 3D geometric modeling , 1990, SIGGRAPH.

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

[18]  Garret N. Vanderplaats,et al.  Structural Shape Optimization with MSC/NASTRAN , 1990 .

[19]  M. E. Botkin,et al.  Three-dimensional shape optimization using fully automatic mesh generation , 1992 .

[20]  Sinan Eyi,et al.  A multi-point optimization for transonic airfoil design , 1992 .

[21]  Srinivas Kodiyalam,et al.  Constructive solid geometry approach to three-dimensional structuralshape optimization , 1992 .

[22]  S. Zhang,et al.  A systematic approach for generating velocity fields in shape optimization , 1992 .

[23]  Walter D. Pilkey,et al.  Structural shape optimization for the torsion problem using direct integration and B-splines , 1993 .

[24]  Henry J. Lamousin,et al.  NURBS-based free-form deformations , 1994, IEEE Computer Graphics and Applications.

[25]  Ari Rappoport,et al.  Simple constrained deformations for geometric modeling and interactive design , 1994, TOGS.

[26]  A. Jameson,et al.  A comparison of design variables for control theory based airfoil optimization , 1995 .

[27]  Malcolm I. G. Bloor,et al.  Efficient parametrization of generic aircraft geometry , 1995 .

[28]  E. Robert,et al.  Rapid Airplane Parametric Input Design (RAPID) , 1995 .

[29]  Walter D. Pilkey,et al.  Shape Design for Thin-Walled Beam Cross Sections Using Rational B Splines , 1995 .

[30]  Sp Fiddes,et al.  A three-dimensional moving mesh method for the calculation of unsteady transonic flows , 1995, The Aeronautical Journal (1968).

[31]  Donald E. LaCourse.  Handbook of solid modeling , 1995 .

[32]  Max Blair,et al.  A demonstration of CAD/CAM/CAE in a fully associative aerospace design environment , 1996 .

[33]  Christian Bischof,et al.  Adifor 2.0: automatic differentiation of Fortran 77 programs , 1996 .

[34]  Kyung K. Choi,et al.  A CAD-based design sensitivity analysis and optimization for structural shape design applications , 1996 .

[35]  Christian Bischof,et al.  ADIC: an extensible automatic differentiation tool for ANSI-C , 1997 .

[36]  Michael B. Giles,et al.  Implicit time-accurate solutions on unstructured dynamic grids , 1997 .

[37]  W. K. Anderson,et al.  Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation , 1997 .

[38]  J. Peraire,et al.  Practical Three-Dimensional Aerodynamic Design and Optimization Using Unstructured Meshes , 1997 .

[39]  Antony Jameson,et al.  Optimum aerodynamic design using the Navier-Stokes equations , 1997 .

[40]  J. Eric,et al.  Aerodynamic Design Optimization on Unstructured Meshes Using the Navier-Stokes Equations , 1998 .

[41]  Juan Pablo Leiva,et al.  AUTOMATIC GENERATION OF BASIS VECTORS FOR SHAPE OPTIMIZATION IN THE GENESIS PROGRAM , 1998 .

[42]  Oktay Baysal,et al.  CONTINUOUS ADJOINT SENSITIVITIES FOR GENERAL COST FUNCTIONALS ON UNSTRUCTURED MESHES IN AERODYNAMIC SHAPE OPTIMIZATION , 1998 .

[43]  George Trapp,et al.  Using Complex Variables to Estimate Derivatives of Real Functions , 1998, SIAM Rev..

[44]  Peter J. Rohl,et al.  CAD AND CAE INTEGRATION WITH APPLICATION TO THE FORGING SHAPE OPTIMIZATION OF TURBINE DISKS , 1998 .

[45]  Judy M. Vance,et al.  Applying Virtual Reality Techniques to Sensitivity-Based Structural Shape Design , 1998 .

[46]  Ernest Perry,et al.  A new morphing method for shape optimization , 1998 .

[47]  Michael J. Wilson,et al.  The accuracy of B-spline finite element approximations to PDE surfaces , 1998 .

[48]  J. C. Townsend,et al.  Integration of a CAD System Into an MDO Framework , 1998 .

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

[50]  Jamshid A. Samareh,et al.  Status and Future of Geometry Modeling and Grid Generation for Design and Optimization , 1999 .

[51]  Thomas A. Zang,et al.  AIAA 99-3798 Multidisciplinary Design Optimization Techniques: Implications and Opportunities for Fluid Dynamics Research , 1999 .

[52]  Gene Hou,et al.  Overview of Sensitivity Analysis and Shape Optimization for Complex Aerodynamic Configurations , 1999 .

[53]  Eric J. Nielsen,et al.  Sensitivity analysis for the Navier-Stokes equations on unstructured meshes using complex variables , 1999 .

[54]  Jamshid A. Samareh,et al.  Novel Multidisciplinary Shape Parameterization Approach , 2001 .

[55]  W. K. Anderson,et al.  Sensitivity Analysis for Navier-Stokes Equations on Unstructured Meshes Using Complex Variables , 2001 .

[56]  L. Richard,et al.  An Approach to Constrained Aerodynamic Design With Application to Airfoils , 2003 .

[57]  Samareh Jamshid,et al.  A Grid Generation System for Multi-disciplinary Design Optimization , 2003 .