Skip to main content
Log in

An Operable Solution Approach to Interplanetary Hydrodynamic Shock Waves

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

In this paper, an operable solution approach is proposed to solve interplanetary hydrodynamic shock waves propagating in the interplanetary medium of solar wind background derived from Parker's hydrodynamic model. In our case the problem concerned is reduced to a set of ordinary differential equations (ODEs) involving the solar wind background parameters velocity v0(r), density ρ0(r), and pressure p0(r). The entire information for the shock can be obtained easily by obtaining the numerical solutions to the set of ODEs.

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

References

  • Burlaga, L. F.: 1995, Interplanetary Magnetohydrodynamics, Oxford University Press, Inc., New York.

    Google Scholar 

  • Dryer, M.: 1975, Space Sci. Rev. 17, 277.

    Google Scholar 

  • Dryer, M.: 1982, Space Sci. Rev. 33, 233.

    Google Scholar 

  • Dryer, M.: 1994, Space Sci. Rev. 67(3/4), 363.

    Google Scholar 

  • Dryer, M.: 1996a, Astrophys. Space Sci. 243, 133.

    Google Scholar 

  • Dryer, M.: 1996b, Solar Phys. 169, 421.

    Google Scholar 

  • Dryer M. and Steinolfson, R. S.: 1976, J. Geophys. Res. 81, 5413.

    Google Scholar 

  • Dryer, M., Wu, C. C., and Smith, Z. K.: 1997, J. Geophys. Res. 102, 14065.

    Google Scholar 

  • Feng, Xueshang: 1997, J. Jishou Univ. 19, 5.

    Google Scholar 

  • Fu, Z. F. and Hu, Y. Q.: 1995, Numerical Simulations in Space Plasmas, Anhui Science and Technology Press, Anhui, China.

    Google Scholar 

  • Gold, T.: 1955, in H. C. Van de Hulst and J. M. Burgers (ed.), Gas dynamics of Cosmic Clouds, North-Holland, Amsterdam, p. 103.

  • Gold, T.: 1959, Nuovo Cimento Suppl. 13, 318.

    Google Scholar 

  • Hundhausen, A. J.: 1972, Coronal Expansion and Solar Wind, Springer-Verlag, New York.

    Google Scholar 

  • Lee, T. S. and Chen, T.: 1968, Planet. Space Sci. 16, 1483.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1987, Fluid Mechanics, Pergamon Press, Oxford.

    Google Scholar 

  • Parker, E. N.: 1963, Interplanetary Dynamical Process, Wiley-Interscience, New York.

    Google Scholar 

  • Sakurai, A.: 1960, Comm. Pure Appl. Math. 13, 353.

    Google Scholar 

  • Sakurai, A.: 1965, in M. Holt (ed.), Basic Developments in Fluid Mechanics, 1, Academic Press, New York and London, p. 309.

    Google Scholar 

  • Sedov, L. I.: 1992, Similarity and Dimensional Methods in Mechanics, CRC Press, Boca Raton.

    Google Scholar 

  • Wei, Fengsi: 1982, Chinese J. Space Sci. 2, 63.

    Google Scholar 

  • Wei, Fengsi: 1983, Chinese J. Space Sci. 3, 135.

    Google Scholar 

  • Whithman, G. B.: 1974, Linear and Nonlinear Waves, Wiley, New York.

    Google Scholar 

  • Wu, S. T., Dryer, T., and Han, S. M.: 1976, Solar Phys. 49, 187.

    Google Scholar 

  • Zhou, Y. L.: 1990, One Dimensional Non-Steady Fluid Mechanics, Academic Press, Beijing (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feng, X., Wei, F. An Operable Solution Approach to Interplanetary Hydrodynamic Shock Waves. Solar Physics 184, 385–402 (1999). https://doi.org/10.1023/A:1005142123943

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005142123943

Keywords

Navigation