Analytic theory of Richtmyer–Meshkov instability for the case of reflected rarefaction wave

DOI10.1063/1.868938zbMath1087.76042OpenAlexW1979765889MaRDI QIDQ4426434

A. L. Velikovich

Publication date: 1996

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868938

zbMATH Keywords

Riemann problemasymptotic growth rateimpulsive model

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (12)

Nonlinear evolution of the Richtmyer–Meshkov instability ⋮ Vortex sheet motion in incompressible Richtmyer–Meshkov and Rayleigh–Taylor instabilities with surface tension ⋮ Numerical investigation of Richtmyer-Meshkov instability driven by cylindrical shocks ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I ⋮ On the stability of piston-driven planar shocks ⋮ Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories ⋮ Saturation of Richtmyer’s impulsive model ⋮ Viscous nonlinear theory of Richtmyer–Meshkov instability ⋮ Nonlinear dynamics of non-uniform current-vortex sheets in magnetohydrodynamic flows ⋮ Growth rate of a shocked mixing layer with known initial perturbations ⋮ Nonlinear regime of a multimode Richtmyer–Meshkov instability: A simplified perturbation theory ⋮ The effect of viscosity, surface tension and nonlinearity on Richtmyer--Meshkov instability.

Cites Work

• Rayleigh–Taylor stability for a normal shock wave–density discontinuity interaction
• Instability of a plane centered rarefaction wave
• Freeze-out and the effect of compressibility in the Richtmyer–Meshkov instability
• Small amplitude theory of Richtmyer–Meshkov instability

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