Inverse design problem for optimizing cascades

Aircraft Engineering and Aerospace Technology

Volumn 78, Issue 6, 2006, Pages 515-521

  Wu, Zhao Chun ^a  

^a SHANGHAI INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Aerodynamics; Variational techniques; Velocity

Indexed keywords

AERODYNAMICS; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; INVERSE PROBLEMS; OPTIMIZATION; VARIATIONAL TECHNIQUES; VELOCITY;

FRICTIONLESS FLOW; VELOCITY DISTRIBUTION;

CASCADES (FLUID MECHANICS);

EID: 33750700475     PISSN: 00022667     EISSN: None     Source Type: Journal    
DOI: 10.1108/00022660610707193     Document Type: Article

References (32)

1. Bao, F.B. and Lin, J.Z. (2005), "Linear stability analysis for various forms of one-dimensional burnett equations", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 3, pp. 295-303.
2. Chen, X.P., He, W.X. and Jin, B.T. (2005), "Symmetric boundary knot method for membrane vibrations under mixed-type boundary conditions", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 4, pp. 421-4.
3. Dulikravich, G.S. (1992), "Aerodynamic shape design and optimization: Status and trends", J. of Aircraft, Vol. 29 No. 6, pp. 1020-6.
4. Ge, X.S., Chen, L.Q. and Liu, Y.Z. (2005), "Motion planning of a nonholonomic multibody system using genetic algorithm", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 2, pp. 113-20.
5. Gu, B.H. and Zhang, H.P. (2005), "Ballistic impact damage of laminated composite penetrated by cylindrical rigid projectile: A finite element simulation", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 3, pp. 215-22.
6. He, J.H. (1997a), "Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics", International Journal of Turbo & Jet-Engines, Vol. 14 No. 1, pp. 23-8.
7. He, J.H. (1997b), "A generalized variational principle for 3-D unsteady transonic rotational flow in rotor using Clebsch variables", International Journal of Turbo & Jet-Engines, Vol. 14 No. 1, pp. 17-21.
8. He, J.H. (1999), "Hybrid problems of determining unknown shape of bladings in compressible S2-flow in mixed-flow turbomachinery via variational technique", Aircraft Engineering and Aerospace Technology, Vol. 71 No. 2, pp. 154-9.
9. He, J.H. (2000a), "Inverse problems of determining the unknown shape of oscillating airfoils in compressible 2D unsteady flow via variational technique", Aircraft Engineering and Aerospace Technology, Vol. 72 No. 1, pp. 18-24.
10. He, J.H. (2000b), "A variational model for compressible rotational blade-to-blade flow using Liu-type potential function", International Journal of Turbo & Jet-Engines, Vol. 17 No. 2, pp. 143-52.
11. He, J.H. (2003a), "A family of variational principles for linear micromorphic elasticity", Computers & Structures, Vol. 81 No. 21, pp. 2079-85.
12. He, J.H. (2003b), "Variational principle for nano thin film lubrication", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 4 No. 3, pp. 313-4.
13. He, J.H. (2004a), "Variational principles for some nonlinear partial differential equations with variable coefficients", Chaos, Solitons & Fractals, Vol. 19 No. 4, pp. 847-51.
14. He, J.H. (2004b), "Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model", Applied Mathematics and Computation, Vol. 157 No. 1, pp. 281-6.
15. He, J.H. (2005a), "Variational approach to (2+1)-dimensional dispersive long water equations", Physics Letters A, Vol. 335 Nos 2/3, pp. 182-4.
16. He, J.H. (2005b), "A generalized variational principle in micromorphic thermoelasticity", Mechanics Research Communications, pp. 93-8.
17. He, J.H. and Liu, H.M. (2004), "Variational approach to diffusion reaction in spherical porous catalyst", Chemical Engineering & Technology, Vol. 27 No. 4, pp. 376-7.
18. He, J.H., Liu, H.M. and Pan, N. (2003), "Variational model for ionomeric polymer-metal composite", Polymer, Vol. 44 No. 26, pp. 8195-9.
19. Kim, Y.H., Kim, K. and Kim, H.S. (2005), "Effects of moment arms on spinal stability subjected to follower loads: A finite element analysis study", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 3, pp. 311-6.
20. Liu, G.L. and Yan, S. (1993), "A unified variable-domain variational approach to hybrid problems of compressible blade-to-blade flow", Int. J. Turbo & Jet Engines, Vol. 10 No. 4, pp. 273-84.
21. Liu, H.M. (2004), "Variational approach to nonlinear electrochemical system", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 5 No. 1, pp. 95-6.
22. Liu, H.M. (2005), "Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method", Chaos, Solitons & Fractals, Vol. 23 No. 2, pp. 573-6.
23. Liu, H.M. and He, J.H. (2004), "Variational approach to chemical reaction", Computers & Chemical Engineering, Vol. 28 No. 9, p. 1549.
24. Melvin, R.G. and Huffman, W.P. (1999), "Recent progress in aerodynamic design optimization", Int. J. for Numerical Methods in Fluids, Vol. 30, pp. 205-16.
25. Momani, S. and Abuasad, S. (2006), "Application of He's variational iteration method to Helmholtz equation", Chaos Solitons & Fractals, Vol. 27 No. 5, pp. 1119-23.
26. Ning, J.G. and Wu, K.T. (2005), "A novel space-time MmB difference scheme with second-order accuracy for 3 dimensional flows", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 4, pp. 417-20.
27. Ning, J.G., Wang, C. and Ma, T.B. (2006), "Numerical analysis of the shaped charged jet with large cone angle", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7 No. 1, pp. 71-8.
28. Osman, M.S., Abo-Sinna, M.A. and El-Sayed, M.K. (2004), "An algorithm for solving multi-stage decision making model with multiple fuzzy goals based on genetic algorithms", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 5 No. 4, pp. 371-85.
29. Rossler, O.E. and Movassagh, R. (2005), "Bitemporal dynamic Sinai divergence: An energetic analog to Boltzmann's entropy?", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 6 No. 4, pp. 349-50.
30. Wu, Z.C. (2005), "A new numerical approach to the two-dimensional Stefan problem", International Journal of Turbo & Jet-Engines, Vol. 22 No. 4, pp. 281-8.
31. Zhang, J., Yu, J.Y. and Pan, N. (2005), "Variational principles for nonlinear fiber optics", Chaos, Solitons & Fractals, Vol. 24 No. 1, pp. 309-11.
32. Zheng, Y., Liu, G.L. and Wu, X.J. (2005), "Hybrid design methods of cascade profile based on variational principles", Aircraft Engineering and Aerospace Technology, Vol. 77 No. 3, pp. 228-35.