## Approximations of the self-similar solution for a blastwave in a medium with power-law density variation
Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution are reviewed and their accuracies are analyzed. The Taylor approximation is extended to cases and spherical, cylindrical and plane geometry. Two approximations of the solution are presented in the Lagrangian coordinates for all types of geometry. These approximations may be used for the investigation of the ionization structure of the adiabatic flow, e.g., inside adiabatic supernova remnants.
This article contains no SIMBAD objects. ## Contents- 1. Introduction
- 2. Sedov solution and its approximations
- 2.1. Sedov solution
- 2.2. Taylor approximation
- 2.3. Kahn approximation
- 2.4. Approximation of Cox & Franco
- 2.5. Approximations of Ostriker & McKee
- 2.6. Cavaliere & Messina approximation of
- 2.7. Approximate methods for an explosion in medium with arbitrary large-scale nonuniformity
- 2.7.1. Thin-layer approximation
- 2.7.2. Sector approximation
- 2.7.3. Hnatyk approximation
- 3. Extension of Taylor approximation to and different N
- 4. Approximations of the Sedov solution in Lagrangian coordinates
- 5. Conclusions
- Acknowledgements
- Appendix: Central pressure
- References
© European Southern Observatory (ESO) 2000 Online publication: June 5, 2000 |