Two-Frequency Rayleigh-Taylor and Richtmyer-Meshkov Instabilities
When a flat interface between an incompressible, inviscid fluid and vacuum is driven by a pressure gradient in the direction opposite to that of the density gradient, it is linearly unstable to any sinusoidal perturbation. The nonlinear evolution of a single frequency has been studied in the past using boundary integral methods. In practice, the interface is usually randomly perturbed, but this case presents great difficulty to numerical studies because the interface soon becomes severely distorted. However, it is possible to study the evolution of two modes long enough to gain some understanding of their interaction in the nonlinear regime. The behavior is different depending on whether the pressure gradient is externally imposed (Rayleigh-Taylor instability) or internally present (Richtmyer-Meshkov instability).
KeywordsHigh Mode Vortex Core Curvature Singularity Singularity Time Vortex Sheet
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