Multi-point shape optimization of airfoils at low Reynolds numbers

CMES - Computer Modeling in Engineering and Sciences

Volumn 51, Issue 2, 2009, Pages 169-188

  Srinath, D N ^a   Mittal, Sanjay ^a   Manek, Veera ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Adjoint methods; Airfoils; Finite element; Low Reynolds numbers; Multi point; Shape optimization

Indexed keywords

ADJOINT METHODS; AIRFOIL SHAPE; DIRECT FUNCTIONS; FINITE ELEMENT; INVERSE FUNCTIONS; LIFT COEFFICIENT; LOW REYNOLDS NUMBER; LOW REYNOLDS NUMBERS; NON-UNIFORM RATIONAL B-SPLINES; OBJECTIVE FUNCTIONS; OFF-DESIGN PERFORMANCE; OPERATING POINTS; OPTIMIZATION STUDIES; POINT DESIGN; RANGE OF ANGLES OF ATTACK;

AIRFOILS; LIFT; REYNOLDS NUMBER; SPLINES;

SHAPE OPTIMIZATION;

EID: 77449146684     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. Abraham, F.; Behr, M.; Heinkenschloss, M. (2005): Shape optimization in steady blood flow: A numerical study of non-Newtonian effects. Computer Methods in Biomechanics and Biomedical Engineering, vol.8, pp. 127-137.
2. Anderson, W.; Bonhaus, D. (1999): Airfoil design on unstructured grids for turbulent flows. AIAA Journal, vol.36, pp. 185-191.
3. Anderson, W. K.; Venkarakrishnan, V. (1997): Aerodynamic design optimization on unstructured grids with a continuous adjoint formulations. AIAA Paper 97-0643, 1997.
4. Atluri, S.; Han, Z.; Rajendran, A. (2003): A new implementation of the meshless finite volume method, through the MLPG mixed approach. CMES: Computer Modelling in Engineering and Sciences, vol.4, pp. 507-517.
5. Atluri, S.; Shen, S. (2002): The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods. CMES: Computer Modelling in Engineering and Sciences, vol.3, pp. 11-51.
6. Atluri, S.; Zhu, T. (1998): A new meshless local Petrov-Galerkin approach in computational mechanics. Computational Mechanics, vol.22, pp. 117-127.
7. Atluri, S.; Zhu, T. (2000): New concepts in meshless methods. International Journal For Numerical Methods In Engineering, vol.47, pp. 537-556.
8. Belytschko, T.; Organ, D.; Y.Krongauz (1994): A coupled finite element-free Galerkin method. International Journal For Numerical Methods In Engineering, vol.17, pp. 186-195.
9. Bendsoe, M.; Kikuchi, N. (1988): Generating optimal topology in structural design using a homegenization method. Computer Methods in Applied Mechanics and Engineering, vol.71, pp. 197-224.
10. Bendsoe, M.; Sigmund, O. (1999): Material interpolation schemes in topology optimization. Archives in applied mechanics, vol.69, pp. 635-654.
11. Bendsoe, M.; Sigmund, O. (2002): Topology Optimization: Theory, Methods and Applications. Springer-Verlag, Berlin.
12. Brezillion, J.; Gauger, N. (2004): 2D and 3D aerodynamic shape optimization using the adjoint approach. Aerospace Science and Technology, vol.8, pp. 715-727.
13. Burg, C.; Newman, J. (2003): Computationally efficient, numerically exact design derivatives via the complex Taylor series expansion method. Computers and Fluids, vol.32, pp. 373-383.
14. Byrd, R.; Lu, P.; Nocedal, J.; Zhu, C. (1995): A limited memory algorithm for bound constrained optimization. SIAM Journal of Scientific Computing, vol.16, pp. 1190-1208.
15. Cisilino, A. (2006): Topology optimization of 2D potential problems using boundary elements. CMES: Computer Modelling in Engineering and Sciences, vol.15, pp. 99-106.
16. Drela, M. (1998): Pros & cons of airfoil optimization. In Caughey, D.; Hafeez, M.(Eds): Frontiers of computational fluid dynamics, pp. 363-381. World scientific, Singapore.
17. Elliot, J.; Perraire, J. (1997): Practical three-dimensional design and optimization using unstructured meshes. AIAA Journal, vol.35, pp. 1479-1485.
18. Farin, G. (1990): Curves and Surfaces for Computer Aided Geometric Design. A Practical Guide. Academic Press.
19. Hou, G.; Sheen, J.; Chuang, C. (1992): Shape sensitivity analysis and design optimization of linear thermoelastic solids. AIAA Journal, vol.30, pp. 528-537.
20. Huyse, L.; Padula, S.; Lewsi, R.; Li, W. (2002): Probablistic approach to freeform airfoil shape optimization under uncertainity. AIAA Journal, vol.40, pp. 1764-1772.
21. Jameson, A. (1988): Aerodynamic design via control theory. Journal of Scientific Computing, vol.59, pp. 117-128.
22. Juan, Z.; Shuyao, L.; Yuanbo, X.; Guangyao, L. (2008): A topology optimization design for the continuum structure based on the meshless numerical technique. CMES: Computer Modelling in Engineering and Sciences, vol.34, pp. 137-154.
23. Kim, S.; Alonso, J.; Jameson, A. (2000): Two-Dimensional high lift aerodynamic optimization using the continuous adjoint method. AIAA Paper 2000-4741, 2000.
24. Li, W.; Huyse, L.; Padula, S. (2002): Robust airfoil optimization to achieve drag reduction over a range of Mach numbers. Structural and multidisciplinary optimization, vol.24, pp. 38-50.
25. Lin, H.; Atluri, S. (2002): Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion problems. CMES: Computer Modelling in Engineering and Sciences, vol.1, pp. 45-60.
26. Liu, C.; Atluri, S. (2008): A fictitious time integration method ( ftim) for solving mixed complimentarity problems with applications to nonlinear optimization. CMES: Computer Modelling in Engineering and Sciences, vol.35, pp. 155-178.
27. Liu, W.; Chen, Y.; Chang, C.; Belytschko, T. (1996): Advances in multiple scale kernel particle methods. Computational Mechanics, vol.18, pp. 73-111. (Pubitemid 126545866)
28. M.B.Giles; Pierce, N. (2000): An introduction to the adjoint approach to design. Flow, Turbulence and Combustion, vol.65, pp. 393-415.
29. Mohammadi, B. (2004): Optimization of aerodynamic and acoustic performances of supersonic civil transports. International Journal For Numerical Methods In Fluids, vol.14, pp. 891-907.
30. Mohammadi, B.; Pirroneau, O. (2004): Shape optimization in fluid mechanics. Annual Review of Fluid Mechanics, vol.36, pp. 255-279.
31. Nemec, M.; Zingg, D.; Pulliam, T. (2004): Multipoint and multi-objective aerodynamic shape optimization. AIAA Journal, vol.42, pp. 1057-1065.
32. Obyashi, S. (1996): Aerodynamic inverse optimization with genetic algorithms. Journal of Engineering and Applied Science, pp. 421-425.
33. Okumura, H.; Kawahara, M. (2000): Shape optimization of a body located in incompressible Navier-Stokes flow based on optimal control theory. CMES: Computer Modelling in Engineering and Sciences, vol.1, pp. 71-77.
34. Pironneau, O. (1973): On optimum profiles in Stokes flow. Journal of Fluid Mechanics, vol.59, pp. 117-128.
35. Pironneau, O. (1974): On optimum design in fluid mechanics. Journal of Fluid Mechanics, vol.64, pp. 97-110.
36. Sherman, L.; Taylor, V.; Green, L.; P.A.Newman; Hou, G.; Korivi, M. (1994): First and second order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods. Journal of Computational Physics, vol.129, pp. 307-331.
37. Soto, O.; Lohner, R.; Yang, C. (2004): An adjoint-based design methodology for CFD problems. International Journal of Numerical Methods for Heat and Fluid Flow, vol.14, pp. 734-759.
38. Srinath, D.; Mittal, S. (2009): Optimal airfoil shapes for low reynolds number flows. International Journal For Numerical Methods In Fluids, vol.61, pp. 355-381.
39. Tapp, C.; Hansel,W.; Mittelstedt, C.; Becker,W. (2004): Weight-minimization of sandwich structures by a heuristic topology optimization algorithm. CMES: Computer Modelling in Engineering and Sciences, vol.5, pp. 563-574.
40. Tezduyar, T.; Mittal, S.; Ray, S.; Shih, R. (1992): Incompressible flow computations with stabilized bilinear and linear equal order interpolation velocity pressure elements. Computer Methods in Applied Mechanics and Engineering, vol.95, pp. 221-242.
41. Wang, S.; Lim, K.; Khoo, B.; Wang, M. (2007): A geometric deformation constrained level set method for structural shape and topology optimization. CMES:Computer Modelling in Engineering and Sciences, vol.18, pp. 155-181. (Pubitemid 46814254)
42. Zhou, M.; Rozvany, G. (2001): On the validity of ESO type methods in topology optimization. Structural and multidiscipline optimization, vol.21, pp. 83-101.
43. Zhu, T.; Zhang, J.; Atluri, S. (1998): A local boundary equation (LBIE) approach in computational mechanics and a meshless discretization approach. Computational Mechanics, vol.21, pp. 223-235. (Pubitemid 128566412)
44. Zingg, D.; Elias, S. (2006): Aerodynamic shape optimization under a range of operating conditions. AIAA Journal, vol.44, pp. 2787-2792. (Pubitemid 44788076)