  The interaction of a Mach 1.45 shock wave with a perturbed planar interface
between sulphur hexafluoride and air is studied through high-resolution
two-dimensional (2D) and three-dimensional (3D) shock-capturing adaptive mesh
refinement simulations of multi-species Navier-Stokes equations. The
sensitivities of time-dependent statistics on grid resolution for 2D and 3D
simulations are evaluated to ensure the accuracy of the results. The numerical
results are used to examine the differences between the development of 2D and
3D Richtmyer-Meshkov instability during two different stages: (1) initial
growth of hydrodynamic instability from multi-mode perturbations after first
shock and (2) transition to chaotic or turbulent state after re-shock. The
effects of the Reynolds number on the mixing in 3D simulations are also studied
through varying the transport coefficients.
