Time-dependent analytic solutions of quasi-steady shocks with cooling

Details Time-dependent analytic solutions of quasi-steady shocks with cooling Time-dependent analytic solutions of quasi-steady shocks with cooling

2007-05-22

arxiv.org/abs/0705.3120v1

Geophys.Astrophys.Fluid Dynamics 100:265-278,2006

Astronomy and Astrophysics

Astrophysics

14 pages, 4 figures, published in Geophysical and Astrophysical Fluid Dynamics

Scientific paper

I present time-dependent analytical solutions of quasi-steady shocks with cooling, where quasi-steady shocks are objects composed of truncated steady-state models of shocks at any intermediate time. I compare these solutions to simulations with a hydrodynamical code and finally discuss quasi-steady shocks as approximations to time-dependent shocks. Large departure of both the adiabatic and steady-state approximations from the quasi-steady solution emphasise the importance of the cooling history in determining the trajectory of a shock.

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