Vortex dynamics and fractal structures in reactive and nonreactive Richtmyer–Meshkov instability

Hydrodynamic instabilities caused by shock-flame interactions are a fundamental challenge in the accurate prediction of explosion loads context nuclear and process plant safety. To investigate Richtmyer–Meshkov instability, series three-dimensional numerical simulations performed, including lean, stoichiometric, nonreactive homogeneous H2/Air mixtures. The equivalence ratio has strong influence on achievable flame wrinkling mixing, impacting key physical parameters such as heat release parameter, thickness, reactivity. reactivity is found to be decisive factor evolution wrinkled brush, it can cause burnout developing fresh gas cusps structures. importance further emphasized comparisons case. Analysis enstrophy (energy equivalent vorticity) transport terms shows that baroclinic torque dominant during interactions. After shock interaction, vortex stretching, dissipation, dilatation gain significantly. A power-law based modeling approach investigated explicitly filtering present simulation data. values determined for fractal dimension show nonlinear dependency chosen ratio, whereas inner cutoff scale approximately independent cases.