Skip to main content
Log in

Investigation of the problem of the decay of an arbitrary two-dimensional discontinuity

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The problem of the decay of an arbitrary two-dimensional discontinuity in a gas has been investigated analytically and numerically. When the boundary of the original discontinuity is a straight line with a break, the problem is reduced to the interaction of two one-dimensional arbitrary discontinuities. It is shown that the difference between the two-dimensional and one-dimensional solutions has a maximum when the decay of the the discontinuity is accompanied by the formation of shock waves that interact with each other and with other gas-dynamic discontinuities. The effect of the angle of deviation of the original boundary of the discontinuity on the two-dimensionality of the flow is estimated.

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.

Similar content being viewed by others

Literature cited

  1. N. E. Kochin, “Theory of discontinuities in fluids,” in: Collected Works, Vol. 2 [in Russian], Izd. AN SSSR, Moscow (1949), p. 5.

    Google Scholar 

  2. V. P. Kolgan and A. S. Fonarev, “Flow development in the interaction of a shock wave with a cylinder and a shpere,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 97 (1972).

    Google Scholar 

  3. R. Ya. Tugazakov, “Unsteady three-dimensional problem of the incidence of a shock wave on a moving plane delta wing,” Tr. TsAGI, No. 1917, 32 (1978).

    Google Scholar 

  4. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, and A. N. Kraiko, Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. M. Yu. Kozmanov, “Problem of the decay of a two-dimensional discontinuity.” in: Numerical Methods of Continuum Mechanics, Vol. 9 [in Russian], Computer Center, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1978), p. 60.

    Google Scholar 

  6. R. Ya. Tugazakov and A. S. Fonarev, “Initial stage of blast wave interaction,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 41 (1971).

    Google Scholar 

  7. V. M. Teshchukov, “Decay of an arbitrary discontinuity on a curved surface,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 126 (1980).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshitz, Continuum Mechanics [in Russian], Gostekhizdat, Moscow (1954).

    Google Scholar 

  9. V. M. Teshchukov, “Self-similar problem of the decay of a two-dimensional discontinuity,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 29 (1972).

    Google Scholar 

  10. L. V. Shurshalov, “A class of two-dimensional unsteady flows with shock waves,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 69 (1974).

    Google Scholar 

  11. N. A. Arkhangel'skii and L. V. Shurshalov, “Problem of the expansion of a conical volume of incandescent gas,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 83 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 159–164, March–April, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tugazakov, R.Y. Investigation of the problem of the decay of an arbitrary two-dimensional discontinuity. Fluid Dyn 24, 296–301 (1989). https://doi.org/10.1007/BF01075163

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01075163

Keywords

Navigation