Statistics – Computation
Scientific paper
Jun 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phfl...26.1450a&link_type=abstract
Physics of Fluids (ISSN 0031-9171), vol. 26, June 1983, p. 1450-1460. Research supported by the Science and Engineering Research
Statistics
Computation
9
Computational Fluid Dynamics, Damping, Rankine-Hugoniot Relation, Relativistic Velocity, Shock Wave Propagation, Two Dimensional Flow, Boltzmann Transport Equation, Gravitational Effects, Shock Wave Profiles, Wave Attenuation
Scientific paper
Results are presented from a detailed study of the formation of strong relativistic shocks from simple waves and their subsequent damping. Basic results in relativistic hydrodynamics are first reviewed, and the transport equation for the shock amplitude is derived which permits the exact calculation of the characteristic damping time for an arbitrary initial shock profile. A basic formalism for the numerical treatment of the problem is set up using a Lagrangian formulation with the rest mass as a distance coordinate. Some results derived directly from the Rankine-Hugoniot relations are presented, and numerical results are given for the case of a purely compressive initial sine pulse propagating into a static uniform medium. The calculations confirm the qualitative nature of the effect fund by Liang and Baker (1977).
Anile Marcello A.
Miller Christopher J.
Motta Sara
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