Shock-resolved Navier–Stokes simulation of the Richtmyer–Meshkov instability start-up at a light–heavy interface

DOI10.1017/S0022112009991911zbMath1183.76728MaRDI QIDQ3550524

D. I. Pullin, Carlos Pantano, Richard M. J. Kramer, Daniel I. Meiron

Publication date: 31 March 2010

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

computational methodsnonlinearshock waves

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (2)

Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I ⋮ Effects of the secondary baroclinic vorticity on the energy cascade in the Richtmyer–Meshkov instability

Cites Work

• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
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• A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Experiments on the late-time development of single-mode Richtmyer–Meshkov instability
• Viscous nonlinear theory of Richtmyer–Meshkov instability
• Effects of Diffusion on Interface Instability between Gases
• Stability of Step Shocks
• Density gradient stabilization of the Richtmyer–Meshkov instability
• The Convergence Rate of Finite Difference Schemes in the Presence of Shocks
• Kinetic energy generated by the incompressible Richtmyer–Meshkov instability in a continuously stratified fluid
• PLIF flow visualization and measurements of the Richtmyer–Meshkov instability of an air/SF₆ interface
• Small amplitude theory of Richtmyer–Meshkov instability
• Nonlinear evolution of the Richtmyer–Meshkov instability
• Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock
• Nonlinear theory of unstable fluid mixing driven by shock wave

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