Time-dependent analytic solutions of quasi-steady shocks with cooling
Astrophysics
2015-05-13 v1
Abstract
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.
Cite
@article{arxiv.0705.3120,
title = {Time-dependent analytic solutions of quasi-steady shocks with cooling},
author = {P. Lesaffre},
journal= {arXiv preprint arXiv:0705.3120},
year = {2015}
}
Comments
14 pages, 4 figures, published in Geophysical and Astrophysical Fluid Dynamics