# Angular density perturbations to filled type I strong explosions

@article{Yalinewich2014AngularDP, title={Angular density perturbations to filled type I strong explosions}, author={Almog Yalinewich and Re’em Sari}, journal={Physics of Fluids}, year={2014}, volume={26}, pages={096102} }

In this paper we extend the Sedov-Taylor-Von Neumann model for a strong explosion to account for small angular and radial variations in the density. We assume that the density profile is given by , where ɛ ≪ 1 and . In order to verify our results we compare them to analytical approximations and full hydrodynamic simulations. We demonstrate how this method can be used to describe arbitrary (not just self similar) angular perturbations. This work complements our previous analysis on radial…

## References

SHOWING 1-10 OF 22 REFERENCES

Discrete self-similarity in type-II strong explosions

- Mathematics, Physics
- 2009

We present new solutions to the strong explosion problem in a nonpower law density profile. The unperturbed self-similar solutions discovered by Waxman and Shvarts describe strong Newtonian shocks…

Discrete Self Similarity in Filled Type I Strong Explosions

- Mathematics, Physics
- 2013

We present new solutions to the strong explosion problem in a non power law density profile. The unperturbed self similar solutions developed by Sedov, Taylor, and Von Neumann describe strong…

The Stability of Decelerating Shocks Revisited

- Physics
- 2005

We present a new method for analyzing the global stability of the Sedov-von Neumann-Taylor self-similar solutions, describing the asymptotic behavior of spherical decelerating shock waves expanding…

On blast waves in exponential atmospheres

- MathematicsJournal of Fluid Mechanics
- 1975

The paper presents a comprehensive analysis of gas motion created by a strong explosion in an atmosphere whose density is an exponential function of altitude. For the near field (i.e. short times…

Shock Wave Stability in Steep Density Gradients

- Physics
- 2000

The stability of spherical accelerating shock waves is discussed via the examination of the stability of the new Waxman-Shvarts self-similar solutions to the strong explosion problem with a density…

PLUTO: a Numerical Code for Computational Astrophysics

- Physics
- 2007

We present a new numerical code, PLUTO, for the solution of hypersonic flows in 1, 2, and 3 spatial dimensions and different systems of coordinates. The code provides a multiphysics, multialgorithm…

Stability of the Primakoff-Sedov blast wave and its generalizations

- Physics
- 1980

The linear stability of those Sedov blast wave similarity solutions for which the flow is homologous behind the shock, of which the best-known example is the Primakoff point blast model, along with…

Second-type self-similar solutions to the strong explosion problem

- Mathematics, Physics
- 1993

The flow resulting from a strong explosion at the center of an ideal gas sphere, whose density drops with the distance r from the origin as r−ω, is assumed to approach asymptotically the self‐similar…

The dynamic instability of adiabatic blast waves

- Physics
- 1991

Adiabatic blastwaves, which have a total energy injected from the center E varies as t{sup q} and propagate through a preshock medium with a density {rho}{sub E} varies as r{sup {omega}} are…