Physics of Plasmas
Feedback | Help | Exit
Physics of Plasmas
   
 
 
 
Previous Article
Magnetically driven isentropic compression to multimegabar pressures using shaped current pulses on the Z accelerator
A technique has previously been developed on the Z accelerator [R. B. Spielman et al., Phys. Plasmas 5, 2105 (1998)] to generate ramped compression waves in condensed matter for equation-of-state stud...
Next Article
Implosion hydrodynamics of fast ignition targets
The fast ignition (FI) concept requires the generation of a compact, dense, pure fuel mass accessible to an external ignition source. The current base line FI target is a shell fitted with a reentrant...

Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes

Phys. Plasmas 12, 056311 (2005); doi:10.1063/1.1885004

Published 2 May 2005

You are not logged in to this journal. Log in

Steven T. Zalesak, Andrew J. Schmitt, and A. L. Velikovich
Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375

J. H. Gardner
Laboratory for Computational Physics and Fluid Dynamics, Naval Research Laboratory, Washington, DC 20375
The numerical tools typically used to model the evolution of fluid instabilities in inertial confinement fusion hydrodynamics codes are examined, and some are found to have properties which would seem to be incompatible with the accurate modeling of small-amplitude perturbations, i.e., perturbations in the linear stage of evolution. In particular a "differentiability condition" which is satisfied by the physics in such situations is not necessarily satisfied by the numerical algorithms in typical use. It is demonstrated that it is possible to remove much of the nondifferentiability in many cases, and that substantial improvement in one's ability to accurately model the evolution of small-amplitude perturbations can result. First a simple example involving a nondifferentiable radiation transport algorithm is shown, and then the nondifferentiabilities introduced by the use of upwind and "high resolution" hydrodynamics algorithms are analyzed. ©2005 American Institute of Physics
History: Received 12 November 2004; accepted 3 February 2005; published 2 May 2005
Permalink: http://link.aip.org/link/?PHPAEN/12/056311/1
BUY THIS ARTICLE   (US$28)
Download PDF (465 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 52.57.Fg
    Implosion symmetry and hydrodynamic instability for laser ICF including Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc
  • 52.30.-q
    Plasma dynamics and flow
  • 52.35.Qz
    Plasma microinstabilities including ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron instabilities, etc
  • 52.65.Kj
    Magnetohydrodynamic and fluid equation (plasma simulation)
  • 52.25.Fi
    Plasma transport properties
  • YEAR: 2005

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (23)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. J.D. Lindl, Inertial Confinement Fusion (Springer, New York, 1998).
  2. D. Mihalis and B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover, New York, 1999).
  3. J. H. Gardner, A. J. Schmitt, J. P. Dahlburg, C. J. Pawley, S. E. Bodner, S. P. Obenschain, V. Serlin, and Y. Aglitskiy, Phys. Plasmas 5, 1935 (1998).
  4. A. J. Schmitt, A. L. Velikovich, J. H. Gardner, C. Pawley, S. P. Obenschain, Y. Aglitskiy, and Y. Chan, Phys. Plasmas 8, 2287 (2001).
  5. P. D. Lax and B. Wendroff, Commun. Pure Appl. Math. 13, 217 (1960).
  6. J.P. Boris, Computing as a Language of Physics (International Atomic Energy Commission, Vienna, 1972), pp. 171–189.
  7. J. P. Boris and D. L. Book, J. Comput. Phys. 11, 38 (1973).
  8. B. van Leer, J. Comput. Phys. 32, 101 (1979).
  9. P. Colella and H. M. Glaz, J. Comput. Phys. 59, 264 (1985).
  10. P. Colella and P. R. Woodward, J. Comput. Phys. 54, 174 (1984).
  11. A. Harten, B. Engquist, S. Osher, and S. R. Chakravarthy, J. Comput. Phys. 71, 231 (1987).
  12. G. S. Jiang and C. W. Shu, J. Comput. Phys. 126, 202 (1996).
  13. S. Liu and T. Chan, J. Comput. Phys. 115, 200 (1994).
  14. A. Harten, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 21, 1 (1984).
  15. B. Cockburn and C. W. Shu, J. Comput. Phys. 141, 199 (1998).
  16. S. K. Godunov, Mat. Sb. 47, 271 (1959).
  17. R. Richtmyer and K. Morton, Difference Methods for Initial Value Problems, 2nd ed. (Interscience, New York, 1967).
  18. T. W. Johnson and J. M. Dawson, Phys. Fluids 16, 722 (1973).
  19. L. Spitzer, Jr., Physics of Fully Ionized Gases, 2nd revised ed. (Interscience, New York, 1962).
  20. A. L. Velikovich, J. P. Dahlburg, J. H. Gardner, and R. J. Taylor, Phys. Plasmas 5, 1491 (1998).
  21. V. N. Goncharov, Phys. Rev. Lett. 82, 2091 (1999).
  22. J. Quirk, Int. J. Numer. Methods Fluids 18, 555 (1994).
  23. Y. Aglitskiy, A. L. Velikovich, M. Karasik, V. Serlin, C. J. Pawley, A. N. Mostovych, J. H. Gardner, and N. Metzler, Phys. Plasmas 9, 2264 (2002).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics