Statistics – Computation
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64.1210k&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Nov.-Dec. 1987, p. 1210-1219. In Russian.
Statistics
Computation
6
Gas Dynamics, Hydrogen Clouds, Isentropic Processes, Nonlinear Equations, Shock Wave Propagation, Thermal Stability, Anisotropic Media, Computational Astrophysics, Energy Dissipation, Plane Waves, Traveling Waves
Scientific paper
By means of the two-scale expansion method, it is found that the propagation of plane, cylindrical and spherical waves in a thermally unstable medium is accompanied by their breaking and shock wave formation. It is shown how the simple wave solution can be generalized for the case of the shocks. It is established that, in contrast to the case of adiabatic motion, the amplitude growth rate and the distance of the wave breaking can both increase and decrease in an inhomogeneous gas for the waves of the fixed propagation direction (in comparison with their values of the gas with constant initial density). Stationary waves of finite amplitude can exist in the presence of dissipative effects under certain initial conditions. The obtained results confirm the conclusion about the unstable travelling waves as source of inhomogeneities and shock waves in H2 clouds and in the neighbourhood of compact H II regions.
Krasnobaev K. V.
Tarev Yu. V.
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