A mixed adjoint formulation for incompressible turbulent problems

40th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2002, Pages

  Soto, O ^a   Lohner R ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; APPROXIMATION ALGORITHMS; ATMOSPHERIC THERMODYNAMICS; BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; MESH GENERATION;

ADJOINT FORMULATION; CONTINUOUS LEVELS; DESIGN METHODOLOGY; DISCRETE ADJOINT EQUATIONS; GEOMETRY REPRESENTATION; MULTI-OBJECTIVE FUNCTIONS; PARTIAL DERIVATIVES; SURFACE PARAMETRIZATION;

NAVIER STOKES EQUATIONS;

EID: 85088184873     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2002-451     Document Type: Conference Paper

References (41)

1. W. Anderson and D. Bonhaus. Airfoil design on unstructured grids for turbulent flows. NASA TM 112867, 1997.
2. W. Anderson and V. Venkatakrishnan. Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. ICASE report No. 97-9, 1997.
3. O. Baysal and M. Eleshaky. Aerodynamic sensitivities analysis methods for the compressible Euler equations. J. of Fluids Engineering, 113:681-688, 1991.
4. J. Borggaard, J. Burns, E. Cliff, and M. Gunzburger. Sensitivity calculation for a 2-d inviscid supersonic forebody problem. Identification and Control Systems Governed by Partial Differential Equations, pages pages 14-24, 1993.
5. G. Burgreen and O. Baysal. Aerodynamic shape optimization using preconditioned conjugate gradient methods. AIAA-93-3322, 1993.
6. F. Camelli and R. Lohner. Combining the baldwin lomax and smagorinsky turbulence models to calculate flows with separation regions. AIAA-2002-0426, 2002.
7. G. Chiandussi. Development of a shape optimization technique based on a response surface methodology. Publication CIMNE No. 138, 1998.
8. Y. Crispin. Aircraft conceptual optimization using simulated evolution. AIAA paper 94-0092, 1994.
9. J. Elliot and J. Peraire. Practical three-dimensional aerodynamic design and optimization using unstructured meshes. AIAA journal, 35:1479-1485,1997.
10. W.-H. H. et al. Aerodynamic of Road Vehicles. SAE International, Society of Automotive Engineers, 1998.
11. P. Gage and I. Kroo. A role for genetic algorithms in a preliminary design environment. AIAA paper 93-3933, 1993.
12. A. Giunta, J. Dudley, R. Narducci, B. Grossman, R. Haftka, W. Mason, and L. Watson. Noisy aerodynamic response and smooth approximation in HSCT design. AIAA paper 94-4376, 1994.
13. R. Glowinski and O. Pironneau. On the numerical computation of the minimum-drag profile in laminar flow. J. Fluid Mech., 72:385-389,1975.
14. G. Hou, V. Maroju, A. Taylor, and V. Korivi. Transonic turbulent airfoil design optimization with automatic differentiation in incremental iterative forms. AIAA-95-1692, 1995.
15. A. Jameson. Optimum aerodynamic design using CFD and control theory. AIAA-95-1729-CP, 1995.
16. A. Jameson and J. Vassberg. Computational fluid dynamics for aerodynamic design: Its current and future impact. AIAA-2001-0538, 2001.
17. G. Kuruvila, S. Ta'asan, and M. Salas. Airfoil design and optimization by the one-shot method. AIAA-95-0478, 1995.
18. P. J. Mason. Large-eddy simulation: A critical review of the technique. Q.J.R. Meteorol Soc., 120:1-26, 1994.
19. T. Matsuzawa and H. Hafez. Treatment of shock waves in design optimization via adjoint equation approach. AIAA-98-2537, 1998.
20. G. Mosetti and C. Poloni. Aerodynamic shape optimization by means of a genetic algorithm. In Proc. of the 5th Int. Syrup, on Computational Fluid Dynamics-Sendai, volume II, pages 279-284, 1993.
21. S. Nadarajah and A. Jameson. Studies of the continuous and discrete adjoint approaches to viscous automatic aerodynamic shape optimization. AIAA-2001-2530, 2001.
22. R. Narducci, B. Grossman, M. Valorani, A. Dadone, and R. Haftka. Optimization methods for nonsmooth or noisy objective functions in fluid design problems. AIAA-95-1648-CP, 1995.
23. J. Newman and A. Taylor. Three-dimensional aerodynamic shape sensitivity analysis and design optimization using Euler equations on unstructured grids. AIAA-96-2464, 1996.
24. E. Nielsen. Aerodynamic design sensitivities on an unstructured mesh using the Navier-Stokes equations and a discrete adjoint formulation. PhD thesis, Virginia Polytechnic Institute and State University, 1998.
25. E. Nielsen and W. Anderson. Aerodynamic design optimization on unstructured meshes using the Navier-Stokes equations. AIAA-98-4809, 1998.
26. E. Nielsen and W. Anderson. Recent improvements in aerodynamic design and optimization on unstructured meshes. AIAA-2001-0596, 2001.
27. O. Pironneau. On optimum profiles in Stokes flow. J. Fluid Mech., 59:117-128,1973.
28. O. Pironneau. On optimum profiles in Fluid Mechanics. J. Fluid Mech., 64:97-110, 1974.
29. D. Quagliarella and A. Cioppa. Genetic algorithms applied to the aerodynamic design of transonic airfoils. AIAA paper 94-1896-CP, 1994.
30. J. Reuter, J. Alonso, J. Martins, and S. Smith. A couple aero-structural optimization method for complete aircraft configurations. AIAA-99-0187, 1999.
31. J. Reuter, A. Jameson, J. Alonso, M. Rimlinger, and D. Saunders. Constrained multipoint aerodynamic shape optimization using and adjoint formulation and parallel computers. AIAA-97-0103, 1997.
32. J. Reuter, A. Jameson, J. Farmer, L. Martinelli, and D. Saunders. Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation. AIAA-96-0094, 1996.
33. M. Rizk. CFD optimization by sensitivity derivatives evaluated from finite-difference jacobians. AIAA-95-1691-CP, 1995.
34. L. Sherman, C. Taylor, L. Green, P. Newman, G. Hou, and V. Korivi. First and second order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods. AIAA-94-4262, 1994.
35. O. Soto and R. Lohner. CFD optimization using an incomplete-gradient adjoint approach. AIAA-00-0666, 2000.
36. O. Soto and R. Lohner. CFD shape optimization using an incomplete-gradient adjoint formulation. Int. J. Numer. Meth. Engrg., 51:735-753, 2001.
37. O. Soto and R. Lohner. General methodologies for incompressible flow design problems. AIAA-2001-1061, 2001.
38. O. Soto and R. Lohner. An implicit monolithic time accurate finite element scheme for incompressible flow problems. AIAA-2001-2616, 2001.
39. J. Uribe. Matricial Analysis of Structures. Universidad de los Andes, Bogota-Colombia, 1988.
40. D. Wilcox. Turbulence modeling for CFD. DCW Industries, Inc. La Canada, California, 1993.
41. D. Young, W. Huffman, R. Melvin, M. Bieterman, C. Hilmes, and F. Johnson. Inexactness and global convergence in design optimization. AIAA-94-4386, 1994.