Shock instability in relaxing gases

Shock instability in relaxing gases

Nick Sirmas and I published our paper on shock instability in relaxing dissipative gases in Physical Review E

The mechanism involves the over-relaxation of pressure along a particle path, and the subsequent re-pressurization.  This gives rise to pressure wave interactions with a density gradient and onset of hydrodynamic instability. 

The figure below, taken from our article, shows the reconstruction of the dynamics of the relaxing shock driven by a constant speed piston.  Note the re-pressurization event at t ~ 2 along the particle paths and the corresponding re-acceleration of the lead shock at t ~ 3, once the forward facing characteristics reach it. 

The figure below shows that the onset of hydrodynamic instability occurs during this re-pressurization event.


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