A continuous adjoint method with objective function derivatives based on boundary integrals, for inviscid and viscous flows

Computers and Fluids

Volumn 36, Issue 2, 2007, Pages 325-341

  Papadimitriou, D I ^a   Giannakoglou, K C ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; TURBOMACHINE BLADES; VISCOUS FLOW;

BOUNDARY INTEGRAL; CONTINUOUS ADJOINT METHOD; FIELD INTEGRAL; INVISCID FLOW;

COMPUTATIONAL FLUID DYNAMICS;

AERODYNAMICS; BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; INTEGRAL EQUATIONS; TURBOMACHINE BLADES; VISCOUS FLOW;

EID: 33750624672     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.11.006     Document Type: Article

References (33)

1. Kampolis IC, Papadimitriou DI, Giannakoglou KC. Evolutionary optimization using a new radial basis function network and the adjoint formulation. J Inverse Probl Sci Eng, in press.
2. Pironneau O. Optimal shape design for elliptic systems (1984), Springer-Verlag, New-York
3. Jameson A. Aerodynamic design via control theory. J Sci Comput 3 (1988) 33-260
4. Jameson A. Optimum aerodynamic design using CFD and control theory. AIAA paper 95-1729-CP, 1995.
5. Jameson A, Nadarajah S, Alonso JJ. An adjoint method for the calculation of remote sensitivities in supersonic flow. AIAA paper 2002-0261, 30th AIAA aerospace sciences meeting, Reno, NV, January 2002.
6. Nadarajah SK, Kim S, Jameson A, Alonso JJ. Sonic boom reduction using an adjoint method for supersonic transport aircraft configuration. In: Symposium transsonicum IV, International Union of Theoretical and Applied Mechanics, September 2-6, 2002, DLR Gottingen, Germany.
7. Campobasso MS, Duta M, Giles MB. Adjoint methods for turbomachinery design. In: ISABE conference, Bangalore, 2001.
8. Duta M, Giles MB, Campobasso MS. The harmonic adjoint approach to unsteady turbomachinery design. In: ICFD conference, Oxford, 2001.
9. Campobasso M.S., Duta M., and Giles M.B. Adjoint calculation of sensitivities of turbomachinery objective functions. AIAA J Propulsion Power 19 4 (2003)
10. Ferlauto M, Iollo A, Zannetti L. Optimal inverse method for turbomachinery design. In: ECCOMAS, Barcelona, 2000.
11. Jameson A, Reuther J. Control theory based airfoil design using the euler equations. AIAA paper 94-4272-CP, 1994.
12. Jameson A, Alonso JJ, Reuther JJ, Martinelli L, Vassberg JC. Aerodynamic shape optimization techniques based on control theory. AIAA paper 98-2538, 1998.
13. Jameson A., Pierce N., and Martinelli L. Optimum aerodynamic design using the Navier-Stokes equations. J Theor Comput Fluid Mech 10 (1998) 213-237
14. Anderson W.K., and Venkatakrishnan V. Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. Comput Fluids 28 (1999) 443-480
15. Giles MB. An introduction to the adjoint approach to design, ERCOFTAC workshop on adjoint methods, Toulouse, June 21-23, 1999.
16. Giles MB. Adjoint methods for aeronautical design. In: ECCOMAS CFD conference, 2001.
17. Nadarajah S, Jameson A. A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization. AIAA paper 2000-0667, AIAA 38th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2000.
18. Nadarajah S, Jameson A. Studies of the continuous and discrete adjoint approaches to viscous automatic aerodynamic optimization, AIAA paper 2001-2530. In: AIAA 15th computational fluid dynamics conference, Anaheim, CA, June 2001.
19. Giles MB, Pierce NA. Adjoint equations in CFD: duality, boundary conditions and solution behaviour. AIAA paper 97-1850, 1997.
20. Giles MB, Pierce NA. On the properties of solutions of the adjoint Euler equations. In: ICFD conference, Oxford, 1998.
21. Giles M.B., and Pierce N.A. Analytic adjoint solutions for the quasi-one-dimensional Euler equations. J Fluid Mech 426 (2001) 327-345
22. Arian E, Salas MD. Admitting the inadmissible: adjoint formulation for incomplete cost functionals in aerodynamic optimization. NASA/CR-97-206269, ICASE Report No. 97-69, 1997.
23. Kim S, Alonso JJ, Jameson A. A gradient accuracy study for the adjoint-based Navier-Stokes design method, AIAA 99-0299. In: AIAA 37th aerospace sciences meeting and exhibit, Reno, NV, January 1999.
24. Anderson W.K., Newman J.C., Whitfield D.L., and Nielsen E.J. Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables. AIAA J 32 3 (1994) 497-505
25. Taasan S, Kuruvila G, Salas MD. Aerodynamic design and optimization in one shot, AIAA 92-005. In: AIAA 30th aerospace sciences meeting and exhibit, January 1992.
26. Jameson A, Kim S. Reduction of the adjoint gradient formula in the continuous limit, AIAA paper 2003-0040, AIAA 41st aerospace sciences meeting and exhibit, Reno, NV, January 2003.
27. Kim H.J., Sasaki D., Obayashi S., and Nakahashi K. Aerodynamic optimization of supersonic transport wing using unstructured adjoint method. AIAA J 39 6 (2001)
28. Mohammadi B., and Pironneau O. Applied shape optimization for fluids (2001), Clarendon Press, Oxford
29. Mohammadi B., and Pironneau O. Shape optimization in fluid mechanics. Annu Rev Fluid Mech 36 (2004) 225-279
30. Denton JD. Loss mechanisms in turbomachines. ASME Paper 93-GT-435, 1993.
31. Roe P. Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43 (1981) 357-371
32. van Albada G.D., van Leer B., and Roberts W.W. A comparative study of computational methods in cosmic gas dynamics. Astron Astrophys 108 (1982) 76-84
33. Spalart P.R., and Allmaras S.R. A one-equation turbulence model for aerodynamic flows. La Recherche Aerospatiale (1994) 5-21