Evolution of weak discontinuity waves in self-similar flows and formation of secondary shocks - The 'point explosion model'

Details Evolution of weak discontinuity waves in self-similar flows and formation of secondary shocks - The 'point explosion model' Evolution of weak discontinuity waves in self-similar flows and formation of secondary shocks - The 'point explosion model'

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982zamp...33...63v&link_type=abstract

Zeitschrift für angewandte Mathematik und Physik, vol. 33, Jan. 1982, p. 63-80. Research supported by the Consiglio Nazionale d

Statistics

Computation

4

Computational Fluid Dynamics, Equations Of Motion, Hydrodynamic Equations, Shock Discontinuity, Shock Wave Propagation, Supernovae, Compression Waves, Stellar Evolution, Wave Interaction

Scientific paper

The evolution of a weak discontinuity propagating along characteristic lines in a perturbed spherically symmetric medium which models a localized explosion is examined. The basic equations of motion and the evolutionary law for a weak discontinuity traveling in a self-similar flow are defined, using a quasi-linear hyperbolic system of hydrodynamic equations for a spherically symmetric adiabatic motion. Critical times are determined for discerning forward- from backward-facing compression waves. Consideration is given to the possibility of an impact between a weak discontinuity wave and the primary shock, and it is shown that secondary shocks can occur if certain conditions for the amplitude of the initial perturbations are met. Applications in the study of supernova explosions are indicated.

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