Numerical solutions of the trans-relativistic shock relations.
Abstract
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.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- November 1979
- Bibcode:
- 1979A&A....79..299F
- Keywords:
-
- Numerical Analysis;
- Pulsars;
- Relativistic Plasmas;
- Shock Heating;
- Shock Wave Propagation;
- Continuity Equation;
- Fluid Flow;
- Radiant Flux Density;
- Shock Fronts;
- Specific Heat;
- Astrophysics;
- Plasma:Shock Waves