The effect of viscosity, surface tension and nonlinearity on Richtmyer--Meshkov instability.

DOI10.1016/S0997-7546(02)01199-8zbMath1046.76018OpenAlexW1986127383MaRDI QIDQ1871572

Pierre Carlès, Stéphane Popinet

Publication date: 4 May 2003

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7546(02)01199-8

zbMATH Keywords

singular perturbationincompressible Navier-Stokes equationsvorticity diffusion

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (7)

Rayleigh–Taylor and Richtmyer–Meshkov instabilities of flat and curved interfaces ⋮ Direct numerical simulation of compressible interfacial multiphase flows using a mass-momentum-energy consistent volume-of-fluid method ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I ⋮ Comment on ``The effect of viscosity, surface tension and non-linearity on Richtmyer-Meshkov instability ⋮ Richtmyer–Meshkov instability of arbitrary shapes ⋮ Mechanism and modelling of the secondary baroclinic vorticity in the Richtmyer–Meshkov instability ⋮ Instability results related to compressible Korteweg system

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• Analytic theory of Richtmyer–Meshkov instability for the case of reflected rarefaction wave
• Small amplitude theory of Richtmyer–Meshkov instability
• Nonlinear regime of a multimode Richtmyer–Meshkov instability: A simplified perturbation theory
• Nonlinear theory of unstable fluid mixing driven by shock wave
• A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability

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