Skip to main content
SpringerLink
Log in

The Formation of Knots and Filaments in Shocks

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

We present a survey of different kinds of instabilities in the context of radiative colliding flows which greatly contribute to structure formation. In particular, this includes analytical results for different kinds of thin shell instabilities (DI, NDI, NTSI). New numerical results for the non-linear evolution of such instabilities in two dimensions, and their coupling with the thermal cooling instability are presented. The astrophysical implications are briefly outlined, in particular the formation of knots and filaments.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • M. J. Berger. Adaptive mesh refinement for hyperbolic equations. Lectures in applied Mathematics, 22:31-40, 1985.

    MATH  Google Scholar 

  • E. Bertschinger. On the structure and stability of radiative shock waves. ApJ, 304:154-177, 1986.

    Article  ADS  Google Scholar 

  • J. M. Blondin and Brian S. Marks. Evolution of cold shock-bounded slabs. New Astronomy, 1:235-244, 1996.

    Article  ADS  Google Scholar 

  • R. A. Chevalier and J. M. Blondin. Hydrodynamical instabilities in supernova remnants. Early radiative cooling. ApJ, 444:312-317, 1995.

    Article  ADS  Google Scholar 

  • S. Chandrasekhar. Hydrodynamic and hydromagnetic stability, 1981.

  • R. A. Chevalier and J. N. Imamura. Linear analysis of an oscillatory instability of radiative shock waves. ApJ, 261:543-549, 1982.

    Article  ADS  Google Scholar 

  • P. Colella. Multidimensional upwind methods for hyperbolic conservation laws. Journal of Computional Physics, 87:171, 1990.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • R. Dgani, D. Van Buren, and A. Noriega-Crespo. Stability analysis of bow shocks. ApJ, 461:927-932, 1996.

    Article  ADS  Google Scholar 

  • R. Dgani, R. Wahler, and H. Nussbaumer. Stability analysis of colliding winds in doublc star systems. A&A, 267:155-160, 1993.

    ADS  Google Scholar 

  • B.T. Draine and C. F. McKee. Theory of interstellar shocks. ARA&A, 31:373-432, 1993.

    ADS  Google Scholar 

  • J. Favre Towards Efficient Visualization Support for Single-block and Multi-block Datasets. In Yagel Hangen, editor. Proceedings of the IEEE Visualization 1997 conference, IEEE Computer Society, pages 425-428, 1997. http://www.cscs.ch/jfavre/Projects.html.

  • T. J. Gaetz, J. Edgar, and R. A. Chevalier. Stability of radiative shocks with time-dependent cooling. ApJ, 329:927-942R., 1988.

    Article  ADS  Google Scholar 

  • J. Grun, J. Stamper, C. Manka, J. Resnick, R. Burris, J. Crawford, and B. H. Ripin. Instability of Taylor-Sedov blast waves propagating through a uniform gas. Phys. Rev. Letters, 66(21):2738-2741, 1991.

    Article  ADS  Google Scholar 

  • G. Garcia-Segura, N. Langer, and M.-M. Mac Low. The hydrodynamic evolution of circumstellar gas arround massive stars II. A&A, 316:133-146, 1996.

    ADS  Google Scholar 

  • D. E. Innes, J. R. Giddings, and S. A. E. G. Falle. Dynamical models of radiative shocks — II. unsteady shocks. MNRAS, 226:67-93, 1987.

    ADS  Google Scholar 

  • G. Jourdan and L. Houas, editors, Proceedings of the Sixth International Workshop on the Physics of Compressible Turbulent Mixing, 1997.

  • H. C. Kreysing, C. Diesch, J. Zweigle, R. Staubert, M. Grewing, and G. Hasinger. Extended X-ray emission from planetary nebulae. A&A, 264:623-628, 1992.

    ADS  Google Scholar 

  • L.D. Landau and E.M. Lifschitz. Fluid Mechanics. Course of theoretical physics, Volume VI. Butterworth and Heinemann Ltd., 2nd edition 1987.

  • E. E. Meskov. Instability of a showck wave accelerated inteface between two gases. NASA Tech. Trans., F-13:074, 1970.

    Google Scholar 

  • M.-M. Mac Low and M. Norman. Nonlinear growth of dynamical overstabilities in blast waves. ApJ, 407:207-218, 1993.

    Article  ADS  Google Scholar 

  • C. R. O'Dell and K. D. Handron. AJ, 111:1630, 1996.

    Article  ADS  Google Scholar 

  • R. D. Richtmyer. Taylor instability in shock acceleration of compressible fluids. Comm. Pure Appl. Math., 13:297-319, 1960.

    MathSciNet  Google Scholar 

  • D. Ryu and E. T. Vishniac. The dynamic instability of adiabatic blast waves. ApJ, 368:411-425, 1991.

    Article  MathSciNet  ADS  Google Scholar 

  • R. Strickland and J. M. Blondin. Numerical analysis of the dynamic stability of radiative shocks. ApJ, 449:727-738, 1995.

    Article  ADS  Google Scholar 

  • H. Schild, S. Miller, and J. Tennyson. The H2structure of OMC-1. A&A, 319:1037, 1996.

    ADS  Google Scholar 

  • L. J. Smith, M. Pettini, J. E. Dyson and T. W. Hartquist. An optical study of the dynamics of the clumpy wind-blown nebula rcw 58. MNRAS, 234:625-642, 1988.

    ADS  Google Scholar 

  • I. R. Stevens, J. M. Blondin, and A. M. T. Pollock. Colliding winds from early-type stars in binary systems. ApJ, 386:265-287, 1992.

    Article  ADS  Google Scholar 

  • J. M. Stone, J. Xu, and L. G. Mundy. Formation of bullets by hydrodynamical instabilities in stellar outflow. Nature, 377:315, 1995.

    Article  ADS  Google Scholar 

  • E. T. Vishniac. The dynamic and gravitational instabilities of spherical shocks. ApJ, 274:152-167, 1983.

    Article  ADS  Google Scholar 

  • E. T. Vishniac. Nonlinear instabilites in shock-bounded slabs. ApJ, 428:186-208, 1994.

    Article  ADS  Google Scholar 

  • R. Walder. Some aspects of the computational dynamics of colliding flows in astrophysical nebulac. PhD thesis, ETH Zürich, 1993.

  • R. Walder. 3D simulations of colliding hypersonic radiative flows in astrophysics. In J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, editors. Proc. of the V. International Conference on Hyperbolic Problems, Theory, Numerics, Applications, 1996. (http://www.astro.phys.ethz.ch/papers/walder/walder_p.html).

  • R. Walder and D. Folini. Radiative cooling instability in 1D colliding flows. A&A, 315:265-284, 1996.

    ADS  Google Scholar 

  • R. Walder and D. Folini. Knots, filaments, and turbulence in radiative shocks. A&A, 330:L21-L24, 1998.

    ADS  Google Scholar 

  • R. Walder, D. Folini, and J. Favre. Stability of colliding radiative flows, 1997. Video animations, http://www.astro.phys.ethz.ch/staff/walder/walder.html.

  • M. T. Wolff, J. H. Gardner, and K. S. Wood. On the stability of degenerate dwarf radiative shocks: New one-and two-temperature calculations. ApJ, 346:833-843, 1989.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. ETH, Institut für Astronomie, Zürich, Switzerland

    Rolf Walder

  2. ETH, Institut für Astronomie and Seminar für Angewandte Mathematik, Zürich, Switzerland

    Doris Folini

Authors
  1. Rolf Walder
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Doris Folini
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Walder, R., Folini, D. The Formation of Knots and Filaments in Shocks. Astrophysics and Space Science 260, 215–224 (1998). https://doi.org/10.1023/A:1001801104306

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1001801104306

Keywords

Search

Navigation