Total pressure loss minimization in turbomachinery cascades using a new continuous adjoint formulation

Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy

Volumn 221, Issue 6, 2007, Pages 865-872

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

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Continuous adjoint approach; Shape optimization; Turbomachinery; Viscous losses minimization

Indexed keywords

AERODYNAMICS; AIRFOILS; CASCADES (FLUID MECHANICS); DRAG; LIFT; PRESSURE DISTRIBUTION; SHAPE OPTIMIZATION;

CONTINUOUS ADJOINT APPROACH; OBJECTIVE FUNCTION GRADIENT; PRESSURE LOSS;

TURBOMACHINERY;

AERODYNAMICS; AIRFOILS; CASCADES (FLUID MECHANICS); DRAG; LIFT; PRESSURE DISTRIBUTION; SHAPE OPTIMIZATION; TURBOMACHINERY;

EID: 35348931548     PISSN: 09576509     EISSN: None     Source Type: Journal    
DOI: 10.1243/09576509JPE463     Document Type: Conference Paper

References (16)

1. Pironneau, O. Optimal shape design for elliptic systems, 1984 (Springer-Veriag, New York).
2. Jameson, A. Aerodynamic design via control theory.J. Sci. Comput., 1988, 3, 233-260.
3. Jameson, A., Pierce, N., and Martinelli, L. Optimum aerodynamic design using the Navier-Stokes equations. J. Theor Comput. Fluid Dyn., 1998, 10, 213-237.
4. Campobasso, M. S., Duta, M. C., and Giles, M. B. Adjoint calculation of sensitivities of turbomachinery objective functions. AIAA J. Propuls. Power, 2003, 19(4), 693-703.
5. Duta, M. C., Giles, M. B., and Campobasso, M. S. The harmonic adjoint approach to unsteady turbomachinery design. Int. J. Numer Methods Fluids, 2002, 40(3-4), 323-332.
6. Jameson, A. and Kim, S. Reduction of the adjoint gradient formula in the continous limit. AIAA 41th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2003, paper no. ALAA-2003-0040s.
7. Papadimitriou, D. I. and Giannakogiou, K. C. A continuous adjoint method with objective function derivatives based on boundary integrals for inviscid and viscous flows. J. Comput. Fluids, 2007, 36, 325-341.
8. Nadarajah, S., Jameson, A., and Alonso, J. An adjoint method for the calculation of remote sensitivities in supersonic flow. Int. I. Comput. Fluid Dyn., 2006, 20(2), 61-74.
9. Moharmnadi, B. and Pironneau, O. Shape optimization in fluid mechanics. Annu. Rev. Fluid Mech., 2004 36, 255-279.
10. Iollo, A., Ferlauto, M., and Zannetti, L. An aerodynamic optimization method based on the inverse problem adjoint equations. J. Comput. Phys., 2001, 173, 87-115.
11. Ferlauto, M. and Iollo, A. Fan and propeller design via inverse problem adjoint equations. ISABE-2001-1160, 2001.
12. Papadimitriou, D. I. and Giarmakoglou, K. C. A continuous adjoint method for the minimization of losses in cascade viscous flows. AIAA paper 2006-0049, 2006.
13. Roe, P. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys., 1981, 43, 357-371.
14. van Albada, G. D., van Leer, B., and Roberts, W. W. A comparative study of computational methods in cosmic gas dynamics. Astron. Astrophys., 1982, 108, 76-84.
15. Lambropoulos, N. K., Koubogiannis, D. G., and Giannakoglou, K. C. Acceleration of a Navier-Stokes equation solver for unstructured grids using agglomeration multigrid and parallel processing. J. Comput. Methods Appl. Mech. Eng., 2004, 193, 781-803.
16. Spalart, P. R. and Allmaras, S. R. A one-equation turbulence model for aerodynamic flows. La Recherche Aerospatiale, 1994, 1, 5-21.