  Shock wave formation and propagation in two-dimensional granular materials
under vertical vibration are studied by digital high speed photography. The
steepen density and temperature wave fronts form near the plate as granular
layer collides with vibrating plate and propagate upward through the layer. The
temperature front is always in the transition region between the upward and
downward granular flows. The effects of driving parameters and particle number
on the shock are also explored.
