Stability of the Sedov-Taylor blast wave solutions

Details Stability of the Sedov-Taylor blast wave solutions Stability of the Sedov-Taylor blast wave solutions

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...227..955c&link_type=abstract

Astrophysical Journal, Part 1, vol. 227, Feb. 1, 1979, p. 955-957.

Astronomy and Astrophysics

Astrophysics

7

Detonation Waves, Explosions, Flow Stability, Shock Waves, Supernovae, Taylor Instability, Convective Flow, Hydrodynamics, Numerical Stability, Perturbation Theory, Spherical Waves, Wave Equations

Scientific paper

Isenberg (1977) has obtained the surprising result that the Sedov-Taylor similarity solutions for spherical blast waves are unstable against radial perturbations. However, he assumed for his linearized normal mode analysis that the shock strength was unchanged by perturbations behind the shock, and therefore did not consider convective losses in the wave energy at the shock. As the first-order change in the shock strength must be included in the stability analysis, it is premature to conclude that the Sedov-Taylor solution is generally unstable.

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