Numerical solutions of the trans-relativistic shock relations

Details Numerical solutions of the trans-relativistic shock relations Numerical solutions of the trans-relativistic shock relations

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....79..299f&link_type=abstract

Astronomy and Astrophysics, vol. 79, no. 3, Nov. 1979, p. 299-305.

Computer Science

Numerical Analysis

5

Numerical Analysis, Pulsars, Relativistic Plasmas, Shock Heating, Shock Wave Propagation, Continuity Equation, Fluid Flow, Radiant Flux Density, Shock Fronts, Specific Heat

Scientific paper

Using a slight modification of the Taub adiabat procedure, the paper solves the relativistic Rankine-Hugoniot (RH) relations for transrelativistic shocks in a nondegenerate Fermi gas. A parametric survey of numerical solutions of the RH relations is presented, making it possible to infer by interpolation from graphical displays the solutions to a variety of shocks. In addition, the transrelativistic nature of the solutions is explicit because when the upstream pressure is low, the shocks first approach those given by nonrelativistic strong shock theory and then approach the relativistic strong shock limit as the Mach number increases.

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