  Shocks in granular media, such as vertically oscillated beds, have been shown
to develop instabilities. Similar jet formation has been observed in
explosively dispersed granular media. Our previous work addressed this
instability by performing discrete-particle simulations of inelastic media
undergoing shock compression. By allowing finite dissipation within the shock
wave, instability manifests itself as distinctive high density non-uniformities
and convective rolls within the shock structure. In the present study we have
extended this work to investigate this instability at the continuum level. We
modeled the Euler equations for granular gases with a modified cooling rate to
include an impact velocity threshold necessary for inelastic collisions. Our
results showed a fair agreement between the continuum and discrete-particle
models. Discrepancies, such as higher frequency instabilities in our continuum
results may be attributed to the absence of higher order effects.
