The simulation of the Rayleigh Taylor instability for high density ratios and infinity bond number with SPH method

In this paper, the Rayleigh Taylor Instability (RTI) is investigated for high density ratios and infinity Bond number. The numerical method is the Lagrangian particle-based Smoothed Particle Hydrodynamics (SPH) method. A robust numerical scheme is used to simulate the RTI phenomenon. It is shown that the SPH method is capable of simulating RTI phenomenon for high density ratios up to R = 100. It is also demonstrated that for a simulation having infinity Bond number, the instability can be divided into three distinct stages, namely the linear evolution of instability, the mushroom head formation and finally the secondary instability formation.