Statistics – Computation
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987afz....26..113g&link_type=abstract
(Astrofizika, vol. 26, Jan.-Feb. 1987, p. 113-128) Astrophysics (ISSN 0571-7132), vol. 26, no. 1, July 1987, p. 66-77. Translati
Statistics
Computation
2
Adiabatic Conditions, Computational Astrophysics, Shock Wave Propagation, Anisotropic Media, Collimation, Explosions, Gas Flow, Inviscid Flow, Trajectories
Scientific paper
The approximate analytic approach of Laumbach and Probstein to the calculation of the motion of shock waves in arbitrarily inhomogeneous media is widely used in astrophysical applications. Its accuracy and region of applicability are discussed in the present paper. It is noted that accelerated shock waves are not described satisfactorily in this approach, and some modifications are proposed; specifically, the calculation of the shock wave trajectory is improved, the quadratic approximation is calculated, and its accuracy is estimated. An approximate method permitting the explicit finding of the flow function is proposed. A point explosion in the Gaussian disk of a galaxy is calculated and the degree of collimation of the resulting flow is estimated.
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