Journal ArticleDOI
The mixing transition in Rayleigh-Taylor instability
TLDR
In this article, a large-eddy simulation technique is described for computing Rayleigh-Taylor instability, based on high-wavenumber-preserving subgrid-scale models, combined with high-resolution numerical methods.Abstract:
A large-eddy simulation technique is described for computing Rayleigh-Taylor instability. The method is based on high-wavenumber-preserving subgrid-scale models, combined with high-resolution numerical methods. The technique is verified to match linear stability theory and validated against direct numerical simulation data. The method is used to simulate Rayleigh-Taylor instability at a grid resolution of 1152 3 . The growth rate is found to depend on the mixing rate. A mixing transition is observed in the flow, during which an inertial range begins to form in the velocity spectrum and the rate of growth of the mixing zone is temporarily reduced. By measuring growth of the layer in units of dominant initial wavelength, criteria are established for reaching the hypothetical self-similar state of the mixing layer. A relation is obtained between the rate of growth of the mixing layer and the net mass flux through the plane associated with the initial location of the interface. A mix-dependent Atwood number is defined, which correlates well with the entrainment rate, suggesting that internal mixing reduces the layer's growth rateread more
Citations
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Journal ArticleDOI
Rayleigh–Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II
TL;DR: In this article, Zhou et al. presented the initial condition dependence of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) mixing layers, and introduced parameters that are used to evaluate the level of mixedness and mixed mass within the layers.
Journal ArticleDOI
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae
William H. Cabot,Andrew W. Cook +1 more
TL;DR: In this paper, a large-scale simulation of the Rayleigh-Taylor instability is presented, which reaches a Reynolds number of 32,000, far exceeding that of all previous Rayleigh−Taylor simulations, and the scaling constant cannot be found by fitting a curve to the width of the mixing layer, but can be obtained by recourse to the similarity equation for the expansion rate of the turbulent region.
Journal ArticleDOI
Artificial Fluid Properties for Large-Eddy Simulation of Compressible Turbulent Mixing
TL;DR: In this article, an alternative methodology is described for large-scale simulation of flows involving shocks, turbulence and mixing, in which the modified transport coefficients are designed to damp out high wavenumber modes, close to the resolution limit, without corrupting lower modes.
Journal ArticleDOI
The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability†
TL;DR: In this paper, the influence of different three-dimensional multi-mode initial conditions on the rate of growth of a mixing layer initiated via a Richtmyer-Meshkov instability through a series of well-controlled numerical experiments is investigated.
Journal ArticleDOI
Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities
TL;DR: A new approach to analyze Rayleigh-Taylor instabilities is presented in which a hierarchical segmentation of the mixing envelope surface is extracted to identify bubbles and analogous segmentations of fields on the original interface plane are analyzed.
References
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TL;DR: In this article, the authors present finite-difference schemes for the evaluation of first-order, second-order and higher-order derivatives yield improved representation of a range of scales and may be used on nonuniform meshes.
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The Instability of Liquid Surfaces when Accelerated in a Direction Perpendicular to their Planes. I
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Investigation of the Character of the Equilibrium of an Incompressible Heavy Fluid of Variable Density
Journal ArticleDOI
Numerical simulation of turbulent mixing by Rayleigh-Taylor instability
TL;DR: In this article, two-dimensional hydrodynamic codes are used to simulate the growth of perturbations at an interface between two fluids of different density due to Rayleigh-Taylor instability.
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