Physics of Fluids
Search:
   
 
 
 
Previous Article
Numerical study of boundary layer separation control using magnetogasdynamic plasma actuators
In this study, an efficient, time dependent, two-dimensional Navier–Stokes numerical code for shockwave boundary layer interaction in air is developed. Nonthermal surface plasma actuation is eva...
Next Article
Comparison between Mach 2 rarefied airflow modification by an electrical discharge and numerical simulation of airflow modification by surface heating
This study is devoted to numerical and experimental investigations about the influence of an electrical discharge over a flat plate immersed in a rarefied Mach 2 airflow. Regarding the experimental wo...

Discrete self-similarity in ultrarelativistic type-II strong explosions

Phys. Fluids 21, 106102 (2009); doi:10.1063/1.3231838

Published 12 October 2009

You are not logged in to this journal. Log in

Yonatan Oren1 and Re'em Sari1,2
1Racah Institute of Physics, The Hebrew University, 91904 Jerusalem, Israel
2California Institute of Technology, MC 350-17, Pasadena, California 91125, USA

A solution to the ultrarelativistic strong explosion problem with a nonpower law density gradient is delineated. We consider a blast wave expanding into a density profile falling off as a steep radial power law with small, spherically symmetric, and log-periodic density perturbations. We find discretely self-similar solutions to the perturbation equations and compare them to numerical simulations. These results are then generalized to encompass small spherically symmetric perturbations with arbitrary profiles. ©2009 American Institute of Physics
History: Received 4 June 2009; accepted 13 August 2009; published 12 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/106102/1
BUY THIS ARTICLE   (US$24)
Download PDF (954 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 47.40.Rs
    Detonation waves
  • 47.10.A-
    Mathematical formulations in fluid dynamics
  • 47.75.+f
    Relativistic fluid dynamics
  • 47.53.+n
    Fractals in fluid dynamics
  • YEAR: 2009

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:
1070-6631 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (10)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. L. I. Sedov, “Propagation of strong blast waves,” Prikl. Mat. Mekh. 10, 241 (1946).
  2. J. von Neumann, “Blast waves,” in Collected Works, edited by A. H. Taub (Pergamon, New York, 1963), Vol. 6, p. 219.
  3. G. I. Taylor, “The formation of a blast wave by a very intense explosion,” Proc. R. Soc. London, Ser. A 201, 159 (1950).
  4. R. D. Blandford and C. F. McKee, “Fluid dynamics of relativistic blast waves,” Phys. Fluids 19, 1130 (1976).
  5. P. Best and R. Sari, “Second-type self-similar solutions to the ultrarelativistic strong explosion problem,” Phys. Fluids 12, 3029 (2000).
  6. Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, edited by W. D. Hayes and R. F. Probstein (Academic, New York, 1966).
  7. Y. Oren and R. Sari, “Discrete self-similarity in type-II strong explosions,” Phys. Fluids 21, 056101 (2009).
  8. L. D. Landau and E. M. Lifschitz, Fluid Mechanics, 2nd ed. (Pergamon, New York, 1987).
  9. M. H. Johnson and C. F. McKee, “Relativistic hydrodynamics in one dimension,” Phys. Rev. D 3, 858 (1971).
  10. M. Pan and R. Sari, “Self-similar solutions for relativistic shocks emerging from stars with polytropic envelopes,” Astrophys. J 643, 416 (2006).

CITING ARTICLES

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