Investigation on adjoint based gradient computations for realistic 3d aero-optimization

13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010

Volumn , Issue , 2010, Pages

  Widhalm, Markus ^a   Brezillon, Joël ^a   Ilić, Časlav ^a   Leicht, Tobias ^a  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADJOINT EQUATIONS; AERODYNAMIC SHAPE OPTIMIZATION; COMPLEX GEOMETRIES; COMPUTATIONAL SAVINGS; DISCRETE ADJOINT METHODS; GRADIENT COMPUTATION; REYNOLDS-AVERAGED NAVIER STOKES SOLVERS; UNSTRUCTURED MESHES;

ELASTICITY; SHAPE OPTIMIZATION;

MESH GENERATION;

EID: 84880820094     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2010-9129     Document Type: Conference Paper

References (33)

1. Brezillon, J. and Dwight, R. P., "Discrete Adjoint of the Navier-Stokes Equations for Aerodynamic Shape Optimization, " Evolutionary and Deterministic Methods for Design., edited by E. 2005, FLM, TU Munich, Germany, 2005.
2. Amoignon, O. and Berggren, M., "Discrete adjoint-based shape optimization for an edge-based finite-volume solver, " Computational Fluid and Solid Mechanics, June 2003, pp. 2190-2193.
3. Carrier, G., "Multi-disciplinary Optimisation of a Supersonic Transport Aircraft Wing Planform, " European Congress on Computational Methods in Applied Sciences, ECCOMAS, Jyv̈askyl̈a, Finnland, 24-28 July 2004 2004.
4. Nielsen, E. J. and Park, M. A., "Using an adjoint approach to eliminate mesh sensitivities. " AIAA-2005-0491, 2005.
5. Yang, Z. and Mavriplis, D., "A Mesh Deformation Strategy Optimized by the Adjoint Method on Unstructured meshes. " 45th Aerospace Sciences Meeting and Exhibit, No. AIAA-2007-557, Reno, NV, January 8-11 2007.
6. Jakobsson, S. and Amolgnon, O., "Mesh deformation using radial basis functions for gradient-based aerodynamic shape optimization. " Computers and Fluids, Vol. 36, No. 6, 2007, pp. 1119-1136.
7. Hicken, J. E. and Zingg, D. W., "Aerodynamik Optimization Algorithm with Integrated Geometry Parameterization and Mesh Movement, " AIAA Journal, Vol. 48, No. 2, February 2010, pp. 400-413.
8. Duvingeau, R., "Adaptive Parameterization using Free-Form Deformation for Aerodynamic Shape Optimization. " Tech. Rep. 5949, INRIA, 2006.
9. Dwight, R., Brezillon, J., and Vollmer, D., "Efficient Algorithms for Solution of the Adjoint Compressible Navier-Stokes Equations with Applications. " Proceedings of the ONERA-DLR Aerospace Symposium (ODAS), Toulouse, 2006.
10. Giles, M. B., Duta, M. C., and Müller, J.-D., "Adjoint Code Developments Using the Exact Approach, " 15th Computational Fluid Dynamics Conference, No. AIAA 2001-2596, Anaheim, California, 11 June-14 June 2001 2001.
11. Nielsen, E. J. and Anderson, W. K., "Recent Improvements in Aerodynamic Design Optimization on Unstructured Grids. " AIAA Journal, Vol. 40, 2002, pp. 1155-1163.
12. Mavriplis, D., "A Discrete Adjoint-Based Approach for Optimization Problems on Three-Dimensional Unstructured Meshes. " AIAA-2006-0050, 2006.
13. Nemec, M., Zingg, D. W., and Pulliam, T. H., "Multipoint and Multi-Objective Aerodynamic Shape Optimization. " AIAA Journal, Vol. 42, 2004, pp. 1057-1065.
14. Martins, J. R. R. A., Alonso, J. J., and Reuther, J. J., "High-Fidelity Aerostructural Design Optimization of a Supersonic Business Jet, " Journal of Aircraft, Vol. 41, No. 3, May-June 2004, pp. 523-530.
15. Gerhold, T., Galle, M., Friedrichs, O., and Evans, J., "Calculation of Complex Three-Dimensional Configurations employing the DLR TAU-Code, " AIAA-97-0167, 1997.
16. Schwamborn, D., Gerhold, T., and Heinrich, R., "The DLR TAU-Code: Recent Applications in Research and Industry. " ECCOMAS CFD 2006, Egmond aan Zee, The Netherlands, September 5-8 2006.
17. Jameson, A. and Yoon, S., "Lower-Upper Implicit Schemes with Multiple Grids for the Euler Equations, " AIAA Journal, Vol. 25, No. 7, July 1987, pp. 929-935.
18. "PETSc Web page, " 2009.
19. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W. D., Kaushik, D., Knepley, M. G., McInnes, L. C., Smith, B. F., and Zhang, H., "PETSc Users Manual, " Tech. Rep. ANL-95/11-Revision 3.0.0, Argonne National Laboratory, 2009.
20. Balay, S., Gropp, W. D., McInnes, L. C., and Smith, B. F., "Efficient Management of Parallelism in Object Oriented Numerical Software Libraries, " Modern Software Tools in Scientific Computing, edited by E. Arge, A. M. Bruaset, and H. P. Langtangen, Birkhauser Press, 1997, pp. 163-202.
21. Dwight, R. and Brezillon, J., "Effect of Approximations of the Discrete Adjoint on Gradient-Based Optimization. " AIAA Journal, Vol. 44, No. 12, December 2006, pp. 3022-3071.
22. Baker, T. J. and Cavallo, P. A., "Dynamic adaption for deforming tetrahedral meshes. " 37th AIAA Aerospace Sciences Meeting and Exhibit, Vol. AIAA-1999-3252, Reno, NV, January 1999.
23. Yang, Z. and Mavriplis, D., "Unstructured dynamic meshes with higher-order time integration schemes for the unstready Navier-Stokes equations. " 43th AIAA Aerospace Sciences Meeting and Exhibit, No. AIAA-2005-1222, Reno, NV, January 10-13 2005.
24. Dwight, R., "Robust Mesh Deformation using the Linear Elasticity Equations. " Computational Fluid Dynamics. 2006, No. 4, Springer Berlin Heidelberg, 2006, pp. 401-406.
25. Nielsen, E. J., Lu, J., Park, M. A., and Darmofal, D. L., "An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids, " Computers and Fluids, Vol. 33, 2004, pp. 1131-1155.
26. Martins, J. R. R. A., Sturdza, P., and Alonso, J. J., "The Complex-Step Derivative Approximation, " ACM Transactions on Mathematical Software, Vol. 29, No. 3, September 2003, pp. 245-262.
27. Schmitt, V. and Charpin, F., "Pressure Distributions on the ONERA M6 Wing at Transsonic Mach Numbers, " Experimental Database for Computer Program Assessment AR-138, B1-1-B1-44, AGARD, May 1979.
28. Jameson, A., Siriam, Martinelli, L., and Haimes, B., "Aerodynamic Shape Optimization of Complete Aircraft Configurations using Unstructured Grids. " AIAA-2004-0533, 2004.
29. Schmidt, S., Ilic, C., Schulz, V., and Gauger, N., "Shape Gradients and their Smoothness for Practical Aerodynamic Design Optimization, " Tech. Rep. SPP1253-10-03, DFG Forschungsbericht, 2008.
30. Samareh, J. A., "A Survey of Shape Parameterization Techniques, " Tech. rep., NASA, 1999.
31. Ronzheimer, A., "Post-Parametrisation of CAD-Geometries Using Freeform Deformation and Grid generation Techniques. " Notes on Numerical Fluid Mechanics and multidisciplinary Design, Vol. 87, 2002, pp. 382-389.
32. Widhalm, M., Ronzheimer, A., and Hepperle, M., "Comparison between Gradient-free and Adjoint based Aerodynamic Optimization of a Flying Wing Transport Aircraft in the Preliminary Design. " 25th Applied Aerodynamics Conference, No. AIAA 2007-4060, Miami, Florida, 25-28 June 2007.
33. Spalart, P. R. and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows. " AIAA 92-0439, 1992.