Skip to main content
SpringerLink
Log in

Methods of Computational Gasdynamics

  • Chapter
Computational Gasdynamics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 40))

Abstract

At present, specialists of applied sciences are confronted with various kinds of practical problems whose successful and accurate solution, in most cases, may be attained only by numerical methods with the aid of computers. Certainly, it does not mean that analytical methods which permit us to find the solution in the “closed” form will not be developed. Nevertheless, it is absolutely clear that the range of problems permitting such an approach to their solution is rather narrow, therefore, the development of general numerical algorithms for the investigation of problems of mathematical physics is important.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Courant, K.O. Friedrichs, H. Levy; Über die partiellen Differenzengleichungen der matematischen, Physik. Math. Ann., 100, 32, (1928).

    Article  MATH  Google Scholar 

  2. K.J. Babenko, G.P. Voskresenskii; A numerical calculation method of a space supersonic gas flow around a body, Zh. Vychisl. Matem. i Matem. Fiz., v. 1, N. 6, (1961), 1051–1060.

    Google Scholar 

  3. D.E. Okhotsimskii, J.L. Kondrasheva, Z.P. Vlasova, R.K. Kazakova; Point explosion calculation with opposite pressure taken into account, Tr. Matem. Inst. AN SSSR, v. 50, (1957).

    Google Scholar 

  4. D.E. Okhotsimskii, Z.P. Vlasova; On shock wave behaviour at a great distance from an explosion site, Zh. Vychisl. Matem, i Matem. Fizz, v. 2, N. 1, (1962), 107–124.

    Google Scholar 

  5. S.K. Godunov; A numerical calculation difference method for hydrodynamics discontinuous solutions, Matem. sb., Ir. 47 (89), N.3, (1959), 271–306;

    MathSciNet  Google Scholar 

  6. S.G. Godunov, A.V. Zabrodin, G.P. Prokopov; A difference scheme for two-dimensional nonstationary gas dynamics problems and flow calculation with a detached shock wave, Zh. Vychisl. Matem. i Matem. Fiz., v. 1, N. 6, (1961), 1020–1050.

    MathSciNet  Google Scholar 

  7. V.V. Rusanov; Calculation of nonstationary shock wave inter action with obstacles, Zh. Vychisl. Matem, i Matem. Fiz., v. 1, N. 2, (1961), 267–279.

    MathSciNet  Google Scholar 

  8. A.A. Dorodnitsyn; On one method of numerical solution of some nonlinear aerohydrodynamics problems, Tr. III Vses. Matem. Siezd., 1956, v. III, Moscow, Izd. AN SSSR, (1958), 447–453.

    Google Scholar 

  9. O.M. Belotserkovskii, P.I. Chushkin; A numerical method of integral relations, Zh. Vychisl. Matem. i Matem. Fiz., v. 2, N. 5, (1962), 731–759.

    Google Scholar 

  10. P.I. Chushkin; A subsonic gas flow around ellipses and ellipsoids, Sb. “Vychisl. Matem.”, N. 2, Izd. AN SSSR, (1957), 20–44.

    Google Scholar 

  11. P.I. Chushkin; Subsonic gas flow calculation around an Arbitrary-shape profile and a body of revolution (a symmetrical case) - Sb. “Vychisl. Matem.”, N.3, Izd. AN SSSR, (1958), 99–110.

    Google Scholar 

  12. P.I. Chushkin; Calculation of some subsonic gas flows - Prikl. Matem. i Mekhan., v. 21, N. 3, (1957), 353–360.

    Google Scholar 

  13. O.M. Belotserkovskii; A flow with a detached shock wave around a circular cylinder - Dokl. AN SSSR,v.113, N.3, (1957), 509–512.

    Google Scholar 

  14. O.M. Belotserkovskii; A flow with a detached shock wave around a symmetrical profile - Prikl. Matem. i Mekhan., v.22, N.2, (1958), 206–219.

    MathSciNet  Google Scholar 

  15. O.M. Belotserkovskii; On calculation of a flow with a detached shock wave around axisymmetrical bodies performed on a computer — Prikl. Matem. i Mekhan., v.24, N.3, (1960), 511–517.

    Google Scholar 

  16. A.A. Dorodnitsyn; On one method of the equation solution of a laminar boundary layer — Zh. Prikl. Mekhan. i Tekhn. Fiz., v. 1, N.3, (1960), 111–118.

    Google Scholar 

  17. Yu. N. Pavlovskii; Numerical calculation of a laminar bound ary layer in a compressible gas — Zh. Vychisl. Matem i Matem. Fiz., v.2, N.5, (1962), 884–901.

    MathSciNet  Google Scholar 

  18. O.N. Katskova, A.N. Kraiko; Calculation of plane and axisymmetric supersonic flows with irreversible processes — Moscow, (1964), Vych. Ts. AN SSSR.

    Google Scholar 

  19. O.N. Katskova, I.N. Naumova, Y.D. Shmyglevskii, N.P. Shulishnina, Experience in the calculation of plane and axisymmetric supersonic flows by the method of characteristics — Moscow, (1961), Vych. Ts. AN SSSR.

    Google Scholar 

  20. O.N. Katskova, P.I. Chushkin; On one scheme of a numerical method of characteristics — Dokl. AN SSSR, v.154, N.1, (1964), 26–29.

    Google Scholar 

  21. O.M. Belotserkovskii, A. Bulekbayev, V.G. Grudnitskii; Algorithms for schemes of the method of integral re lations applied to the calculations of mixed gas flows — Zh. Vych. Mat. i Mat., Fiz., v.6, N.6, (1966), 1064–1081.

    MATH  Google Scholar 

  22. O.M. Belotserkovskii, A. Bulekbayev, M.M. Golomazov, V.G. Grudnitskii, V.K. Bushin, V.F. Ivanov, Y.P. Lunkin, F.D. Popov, G.M. Ryabinkov, T.Y. Timofeeva, A.I. Tolstikh, V.N. Fomin, F.V. Shugayev; Flow past blunt bodies in supersonic flow: theoretic al and experimental results — Edited by O.M. Belotserkovskii, Trudy Vych. Ts. AN SSSR, published by Computing Center, AN SSSR, 1966 (1st edition), 1967 (2nd edition, revised and extended).

    Google Scholar 

  23. P.I. Chushkin, Blunt bodies of simple form in supersonic gas flow — Prikl. Mat. i Mech., v.24, N.5, (1960), 927–930.

    Google Scholar 

  24. P.I. Chushkin; Method of characteristics for three—dimensional supersonic flow — Trudy Vych. Ts. AN SSSR, Moscow, (1968).

    Google Scholar 

  25. K.M. Magomedov, A.S. Kholodov; On the construction of difference schemes for equations of hyperbolic type based on characteristic coordinates — Zh. Vych. Mat. i Fiz., v.9, N.2, (1969), 373–368.

    MATH  Google Scholar 

  26. F.H. Harlow; The particle—in-Cell Computing Method for Fluid Dynamics — Methods in Computational Physics, v.3, edited by Berni Alder, Sidney Fernbach, Manuel Rotenberg, Academic Press, N.Y., (1964).

    Google Scholar 

  27. M. Rich; A method for Eulerian Fluid Dynamics — Los Alamos Scientific Laboratory, New Mexico, Lab. Rep. LAMS — 2826, (1963).

    Google Scholar 

  28. O.M. Belotserkovskii, Y.M. Davidov; The use of unsteady methods of “large particle” for problems of external aerodynamics — Vych. Ts. AN SSSR, (1970), 85 p.

    Google Scholar 

  29. O.M. Belotserkovskii, E.S. Sedova, F.V. Shugaev; Supersonic Flow Around Blunt Bodies of Revolution with a sur face Discontinuity — Zh. Vychisl. Matem. i Matem. Fiz., v.6, N.5, (1966), 930–934.

    Google Scholar 

  30. Aerophysical Investigations of Supersonic Flows. Edited by Dunaev Yu. A., Izd. “Nauka”, Moscow — Leningrad, (1967).

    Google Scholar 

  31. O.M. Belotserkovskii, E.G. Shifrin; Transonic flows behind a detached shock wave — Zh. Vychisl. Matem. i Matem. Fiz., V.9, N.4, (1969), 908–931.

    Google Scholar 

  32. O.M. Belotserkovskii et. al.; Numerical investigation of modern problems in gas dynamics Izd. “Nauka”, Moscow, (1974).

    Google Scholar 

  33. V.F. Diachenko; On one new method of the numerical solution of nonstationary gas dynamics problems with two space variables — Zh. Vychisl. Matem. i Matem. Fiz., v.5, N.4, (1965), 680–688.

    Google Scholar 

  34. O.M. Belotserkovskii, Y.M. Davidov; A non—stationary “coarse particle” method for gas—dynamical computations — Zh. Vychisl. Matem. i Matem. Fiz., v.11, N.1, (1971), 182–207.

    Google Scholar 

  35. R.A. Gentry, R.E. Martin, J. Daly; An eulerian differencing method for insteady compressible flow problem — J. Comput. Phys., v.1, (1966), 87–118.

    Article  Google Scholar 

  36. O.M. Belotserkovskii, Y.M. Davidov; Computation of trans—sonic “supercritical” flows by the “coarse particle” method — Zh. Vychisl. Matem. i Matem. Fiz., v.13, N.1, (1973), 147–171.

    Google Scholar 

  37. O.M. Belotserkovskii; Numerical methods of some transonic aerodynamics problems — J. Comput. Phys., v.5, N.3, (1970), 587–611.

    Article  MathSciNet  Google Scholar 

  38. O.M. Belotserkovskii; Numerical experiment in gas dynamics — Lecture Notes in Physics, Springer Verlag, N.35, (1975), 79–84.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computing Center, Academy of Sciences, Moscow, USSR

    O. M. Belotserkovskii

Authors
  1. O. M. Belotserkovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Wien

About this chapter

Cite this chapter

Belotserkovskii, O.M. (1975). Methods of Computational Gasdynamics. In: Computational Gasdynamics. International Centre for Mechanical Sciences, vol 40. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2732-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2732-2_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81428-4

  • Online ISBN: 978-3-7091-2732-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation