Propagation of spherical magnetogasdynamic shock waves

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Magnetohydrodynamic Waves, Shock Wave Propagation, Spherical Waves, Density Distribution, Pressure Distribution, Runge-Kutta Method, Velocity Distribution

Scientific paper

Magnetogasdynamic shock waves propagating in a medium of density which increases as a power law are examined, and the Runge-Kutta method is used to find a numerical solution to the problem. It is found that the flow variables are maximized at the shock front except for the case of density, and that the pressure, velocity, density, and magnetic field peaks are to be found behind the shock wave in the same range of the similarity variable, eta. Instantaneous energy release is not indicated, and for the example of an astrophysical problem like flare-produced shock, a continuous flow of charged particles in the interplanetary atmosphere, and the production of a shock wave are obtained.

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