... temperature

Usual practice is to set the floor-temperature of the simulation and  $T_{\rm ISM}$ to the same value. Most of the simulations in this paper adopt this assumption, though the effect of letting the gas cool below the pre-shock temperature is examined in Sect. 3.4, where we find that there are dramatic changes in the resulting properties when the Mach number is low.

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... respectively

For ease of comparison with previous work, $\omega_{\rm f}$ is defined in units of $v_{\rm 0}/x_{\rm b}$, where $v_{\rm0}$ is dimensionless and equal to unity and where $x_{\rm b}$ is also dimensionless.

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