Simulations of the Instability Experiments in Stratified Cylindrical Shells

A high-resolution multi-fluid parabolic piecewise method (MFPPM) is presented to simulate the Richtmyer--Meshkov (RM) instability in stratified cylindrical shells. However, the algorithm captures do not track the interfaces between distinct large deformation materials. To reach verification and validation of our MFPPM code, we select two experimental models for simulations, one is from the Lawrence Livermore National Laboratory, and the other is from our Laboratory for Shock Wave and Detonation Physics. The former result is in excellent agreement with the experiment and the Couple Arbitrary Lagrange--Euler (CALE) code, the latter is in general consistent with our experiment. It is found that the MFPPM code is reasonably successful in simulating many aspects of the gelatin-ring RM experiments.