Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation (Q1924699)

We address the title problem using a second-order TVD finite difference scheme with artificial compression. We describe our numerical simulations of the three-dimensional Rayleigh-Taylor instability using this scheme. The numerical solutions are compared to (a) the exact two-dimensional solution in the linear regime and (b) numerical solutions using the TVD scheme and the front tracking method. The computational program is used to study the evolution of a single bubble and three-dimensional bubble merger, i.e., the nonlinear evolution of a single mode and the process of nonlinear mode-mode interaction.