A Survey of Shape Parameterization Techniques

This paper provides a survey of shape parameterization techniques for multidisciplinary optimization and highlights some emerging ideas. The survey focuses on the suitability of available techniques for complex configurations, with suitability criteria based on the efficiency, effectiveness, ease of implementation, and availability of analytical sensitivities for geometry and grids. The paper also contains a section of field grid regeneration, grid deformation, and sensitivity analysis techniques.

[1]  Antony Jameson,et al.  Essential Elements of Computational Algorithms for Aerodynamic Analysis and Design , 1997 .

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

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

[4]  Robert T. Biedron,et al.  Parallel Computation of Sensitivity Derivatives with Application to Aerodynamic Optimization of a Wing , 1999 .

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

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

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

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

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

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

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

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

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

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

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

[16]  Peter Hartwich,et al.  Method for perturbing multiblock patched grids in aeroelastic and design optimization applications , 1997 .

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

[18]  A Samareh Jamshid,et al.  A Novel Shape Parameterization Approach , 1999 .

[19]  Jami J. Shah,et al.  Parametric and Feature-Based CAD/CAM: Concepts, Techniques, and Applications , 1995 .

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

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

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

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

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

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

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

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

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

[29]  Alan Watt,et al.  Advanced animation and rendering techniques , 1992 .

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

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

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

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

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

[35]  R. B. Nelson,et al.  Automated Structural Synthesis Using a Reduced Number of Design Coordinates , 1973 .

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

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

[38]  Fujio Yamaguchi,et al.  Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.

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

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

[41]  John F. Hughes,et al.  Direct manipulation of free-form deformations , 1992, SIGGRAPH.

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

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

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

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

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

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