Skip to main content
Log in

Application of the Newton method to the calculation of internal supersonic separated flows

  • 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.

References

  1. I. V. Egorov and O. L. Zaitsev, “One approach to the numerical solution of the two-dimensional Navier-Stokes equations by the shock capturing method,”Zh. Vychisl. Mat. Mat. Fiz.,31, No. 2, 286–299 (1991).

    MATH  MathSciNet  Google Scholar 

  2. V. A. Bashkin, I. V. Yegorov, and M. V. Yegorova, “A circular cylinder in the supersonic flow of a perfect gas,”Izv. Ross. Akad. Nauk, Mekh. Zhidk, Gaza, No. 6, 107–115 (1993).

    MATH  Google Scholar 

  3. V. A. Bashkin, I. V. Egorov, and N. P. Kolina, “Aerodynamic characteristics of axisymmetric nosed bodies in supersonic flow,”Uch. Zap. TsAGI,24, No. 2, 44–53 (1993).

    Google Scholar 

  4. I. V. Egorov, “On the question of the influence of the real properties of air on integral aerodynamic characteristics,”Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 156–164 (1992).

    MATH  Google Scholar 

  5. V. A. Bashkin and I. V. Yegorov, “The heat-transfer numerical simulation on the basis of Navier-Stokes equations,” in:Research in Hypersonic Flows and Hypersonic Technologies, TsAGI, September 19–21 (1994), Section 2, pp. 12–16.

  6. I. V. Egorov and D. V. Ivanov, “Use of fully-implicit monotone difference schemes to simulate plane internal flows,”Zh. Vychisl. Mat. Mat. Fiz.,36, No. 10 (1996).

    Google Scholar 

  7. A. E. Vnukov, “Generation of computation grids around aerodynamic profiles using the Schwarz-Christoffel discrete transformation,” Preprint No. 35, TsAGI, Moscow (1991).

  8. R. W. MacCormack, “The effect of viscosity in hypervelocity impact cratering,” AIAA Paper No. 354, New York (1969).

  9. S. K. Godunov, “A finite-difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics,”Mat. Sb.,47, No. 3, 271–306 (1959).

    MATH  MathSciNet  Google Scholar 

  10. P. L. Roe, “Approximate Riemann solvers, parameter vectors, and difference schemes,”J. Comput. Phys.,43, 357–372 (1981).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. T. Kh. Karimov, “Some iterative methods for solving nonlinear equations in Hilbert space,”Dokl. Akad. Nauk SSSR,269, No. 5, 1038–1042 (1983).

    MATH  MathSciNet  Google Scholar 

  12. R. J. Lipton, D. J. Rose, and R. E. Tarjan, “Generalized nested dissection,”SIAM J. Numer. Anal.,16, No. 2, 346–358 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  13. I. V. Egorov and O. L. Zaitsev, “Development of efficient algorithms for computational fluid dynamic problems,” in:Proc. of the 5th Int. Symp. on Computational Fluid Dynamics, Sendai, Japan (1993), Vol. 3, pp. 393–400.

Download references

Authors

Additional information

Central Aerohydrodynamic Institute, Zhukovskii 140160. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 38, No. 1, pp. 30–42, January–February, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bashkin, V.A., Yegorov, I.V. & Ivanov, D.V. Application of the Newton method to the calculation of internal supersonic separated flows. J Appl Mech Tech Phys 38, 26–37 (1997). https://doi.org/10.1007/BF02468268

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02468268

Keywords

Navigation