Shock waves in a self-gravitating gas

Statistics – Computation

Scientific paper

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Gravitational Effects, Ideal Gas, Shock Wave Propagation, Computational Fluid Dynamics, Gas Density, Spatial Distribution

Scientific paper

The CCW method is used here to describe the propagation of diverging shock waves through an ideal gas under its own gravitation for plane, cylindrical, and spherical symmetries of the shock simultaneously for the cases when the shock is weak and for when it is strong, for a given initial density distribution. The analytical relations for shock velocity and shock strength are obtained. Expressions for the pressure, density, and particle velocity immediately behind the shock are derived for both studied cases. Numerical estimates for plane and cylindrical symmetry of the shock are computed.

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