Skip to main content
Log in

Inverse boundary value problems of aerohydrodynamics by means of the methods of numerical optimization

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. G. G. Tumashev and M. T. Nuzhin, Inverse Boundary Value Problems and Their Applications, Kazan State Univ., Kazan (1965).

    Google Scholar 

  2. L. A. Aksent'ev, “One-sheeted solvability of inverse boundary value problems” Proceedings of a Seminar on Boundary Value Problems [in Russian], Issue No. 10, Kazan State Univ., Kazan (1973).

    Google Scholar 

  3. M. A. Lavrent'ev, “An extremal problem in the theory of an airplane wing,” Trudy TsAGI, No. 155 (1934).

  4. M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  5. V. I. Zubov, “The problem concerning the optimal profile of a wing in the flow of an ideal incompressible fluid,” Zh. Vychisl. Mekh. Mat. Fiz.,20, No. 1 (1980).

  6. S. Ivanov, I. Nedyalkov, L. Panov, and P. Petrova, “A manual for the solution of optimization problems in airfoil theory” [in Ukrainian], God. VUZ. Tekh. Fiz.,16, No. 2 (1980).

  7. K. Varsamov, I. Nedyalkov, P. Petrova, and P. Khadzhimikhalev, “An extremal problem for a profile with minimum resistance and given lift” [in Ukrainian], God. VUZ. Tekh. Fiz.,18, No. 2 (1981).

  8. Yu. A. Arutyunov and A. E. Osovskii, “Some problems of optimization of aerodynamic characteristics in an incompressible fluid,” in: Fifth All-Union Congress on Theoretical and Applied Mechanics: Summary Reports, Alma-Ata (1981).

  9. V. Pasheva and P. Petrova, “Some numerical experiments on the structure of a wing profile with given characteristics and possible small resistance” [in Ukrainian], God. VUZ. Tekh. Fiz.,19, No. 2 (1982).

  10. A. M. Elizarov, N. B. Il'inskii, and A. V. Potashev, “Inverse boundary value problems of aerodynamics,” Itogi Nauki Tekh., VINITI, Ser., Mekh. Zhidk. Gaza, 23 (1989).

  11. A. M. Elizarov and E. V. Fedorov, “Optimization of aerodynamic forms by the method of inverse boundary value problems,” Prikl. Mat. Mekh.,54, No. 4 (1990).

  12. G. Yu. Stepanov, Hydrodynamics of Turbomachine Grids [in Russian], Fiz.-Mat. Lit., Moscow (1962).

    Google Scholar 

  13. G. Yu. Stepanov, “Basic model representations of the mechanics of a liquid and a gas in aerfoil theory,” in: Some Problems of Continuum Mechanics [in Russian], Moscow State Univ., Moscow (1976).

    Google Scholar 

  14. L. G. Loitsyanskii, Mechanics of a Liquid and Gas [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  15. R. Eppler, Practical Calculation of Laminar and Turbulent Bled-off Boundary Layers, NASA TM 75328 (1978).

  16. F. G. Avkhadiev, L. A. Aksent'ev, and A. M. Elizarov, “Sufficient conditions for finite-sheeted analytic functions and their applications,” Itogi Nauki Tekh., VINITI, Ser. Mat. Anal.,25 (1987).

  17. Yu. G. Evtushenko and V. G. Zhadan, “Relaxation method for solving problems of nonlinear programming,” Zh. Vychisl. Mekh. Mat. Fiz.,17, No. 4 (1977).

  18. R. H. Liebeck, “Design of subsonic airfoil for high lift,” J. Aircraft,15, No. 9 (1978).

  19. A. M. Elizarov and D. A. Fokin, “Design of wing profiles for flow without separation in a given range of variation of attack angles,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1990).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 2, pp. 73–81, March–April, 1993.

The authors wish to thank N. B. Il'inskii and G. Yu. Stepanov for useful comments.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elizarov, A.M., Fedorov, E.V. Inverse boundary value problems of aerohydrodynamics by means of the methods of numerical optimization. J Appl Mech Tech Phys 34, 219–226 (1993). https://doi.org/10.1007/BF00852516

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00852516

Keywords

Navigation