Turbulent transition of a gaseous mixing zone induced by the Richtmyer-Meshkov instability

Bury, Yannick; Graumer, Pierre; Jamme, Stéphane; Griffond, Jérôme

doi:10.1103/physrevfluids.5.024101

Cited by 4 publications

(2 citation statements)

References 23 publications

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“…The model studied in the present article is a building block of a larger-purpose turbulence model intended to predict turbulent mixing in multi-species compressible flows subject to strong accelerations or decelerations and shock crossing as encountered in ICF applications [24] or shock tube experiments [8,29]. In its previous form [21,22], this model focuses on the effect of pressure and velocity gradients but employs a simple approach for the species mass fractions.…”

Section: Modelmentioning

confidence: 99%

“…More precisely, counter-gradient turbulent transport, with transient demixing effects, and incomplete mixing, with segregation effects, are not described. Yet, they are likely to appear in many configurations of interest, for instance just after a shock wave crosses a Turbulent Mixing Zone (TMZ) from the heavy-fluid side to the light-fluid side [8]. In order to take into account these effects, the closure on mass fraction fluxes should be postponed at a higher level by adding evolution equations for the mass fraction fluxes and covariances.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case

et al. 2021

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A mixed hyperbolic-parabolic, non conservative, Reynolds Stress Model (RSM), is studied. It is based on an underlying set of Langevin equations, and allows to describe turbulent mixing, including transient demixing effects as well as incomplete mixing. Its mathematical structure is analysed, and specific regimes, related to acoustic-like, Riemann-type, or self-similar solutions, are identified. A second-order accurate numerical scheme is proposed in arbitrary curvilinear geometry. Its accuracy and convergence behaviour are tested by comparison with analytical solutions in the different regimes. The numerical scheme can be generalized to multi-dimensional configurations, with potentially cylindrical symmetry, on unstructured meshes.

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Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case

et al. 2021

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On the effect of characterised initial conditions on the evolution of the mixing induced by the Richtmyer–Meshkov instability

et al. 2023

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Designing Multishape Dual-Gas Initial Conditions for the Study of Hydrodynamic Instabilities

Santos

Bury

Jamme

2022

Journal of Fluids Engineering

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The flow resulting from the rotation of a series of thin plates that initially separate two gases of different densities is analysed using Direct Numerical Simulations. The ninety degrees plates' rotation forms a vorticity shear layer and a density interface in between the tips of two neighbouring plates. Results of this study show that the shape of these layers strongly depends on the plate tip-based Reynolds number that can be varied thanks to a parametrisation of the plates' opening law. Different regimes are identified corresponding to single- or multi-mode initial interfaces, with or without the occurrence of starting vortices during the formation of the shear layer. The density interfaces resulting from this procedure are particularly well-suited to serve as initial conditions for the study of the Richtmyer-Meshkov instability-induced mixing. Results of this study also provide a description of vortex formation in stratified flows.

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Turbulent transition of a gaseous mixing zone induced by the Richtmyer-Meshkov instability

Cited by 4 publications

References 23 publications

Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case

Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case

On the effect of characterised initial conditions on the evolution of the mixing induced by the Richtmyer–Meshkov instability

Designing Multishape Dual-Gas Initial Conditions for the Study of Hydrodynamic Instabilities

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