Three dimensional axisymmetric simulations of fluid instabilities in curved geometry

Numerical simulations for Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for three dimensional axisymmetric fluids have been successfully conducted by a front tracking method. In the first simulation, we consider single mode RT instability for an axially symmetric perturbed interface in a circular tube. We compare the computed bubble velocity with theory and laboratory experiment and find excellent agreement. The second simulation studies the RM instability for an axisymmetric sphere driven by an imploding shock. We investigate the growth rate of perturbation, the reshock process and the phase inversion phenomenon.