Computer Science – Numerical Analysis
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icrc....3..115d&link_type=abstract
In NASA. Goddard Space Flight Center 19th Intern. Cosmic Ray Conf., Vol. 3 p 115-117 (SEE N85-34862 23-93)
Computer Science
Numerical Analysis
1
Acceleration (Physics), Cosmic Rays, Magnetohydrodynamic Flow, Numerical Analysis, Shock Waves, Time Dependence, Coefficients, Diffusion, Euler Equations Of Motion, Mach Number, Nonlinearity, Pressure
Scientific paper
Numerical studies of time dependent cosmic ray shock structures in planar geometry are interesting because analytical time-independent solutions are available which include the non-linear reactions on the plasma flow. A feature of these time asymptotic solutions is that for higher Mach numbers (M approximately 5) and for a low cosmic ray upstream pressure the solution is not uniquely determined by the usual conservation laws of mass, momentum and energy. These numerical solutions clearly indicate that much work needs to be done before we understand shock acceleration as a time dependent process. The slowness of the process is possibly due to the fact that there is a diffusive flux into the downstream region in addition to the usual advective losses. Analytic investigations of the phenomenon are required.
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