We study the highly nonlinear stages of the Rayleigh–Taylor instability RTI for three-
dimensional flow. The proposed numerical and analytical methods are original approaches …

Steady flows generated by the Rayleigh-Taylor instability (RTI) are considered for
incompressible inviscid fluid. There is a family of steady solutions, and for the first time the …

We report a multimode analysis of the 3D–2D dimensional crossover for the nonlinear
structure, which occurs in the nonlinear regime of the Rayleigh–Taylor instability (RTI). This …

The Rayleigh–Taylor instability arises when a heavy fluid adjacent to a light fluid is
accelerated in a direction against the density gradient. Under this unstable configuration, a …

In some researches on the bubble problem in the Rayleigh–Taylor instability, the bubble
radius is identified with one-half spatial period. We show that these quantities are distinct …

We study the motion of a two-dimensional coherent structure of bubbles and spikes in the
Rayleigh–Taylor instability for fluids with a finite density contrast in the case of a small …

We present an analytical model of nonlinear evolution of two-dimensional single-mode
Rayleigh–Taylor instability (RTI) in cylindrical geometry at arbitrary Atwood number for the …

Abstract Effects of temporal density variation and spherical convergence on the nonlinear
bubble evolution of single-mode, classical Rayleigh-Taylor instability are studied using an …

Using Zufiria's potential flow model with a point source in the velocity potential, we
investigate the effects of viscosity on the growth of the bubble in Rayleigh–Taylor instability …

In order to study the effect of compressibility on Rayleigh-Taylor (RT) instability, we
numerically simulated the late-time evolution of two-dimensional single-mode RT instability …