A simple experiment to investigate two‐dimensional mixing by Rayleigh–Taylor instability

1990 ◽  
Vol 2 (6) ◽  
pp. 922-927 ◽  
Author(s):  
M. J. Andrews ◽  
D. B. Spalding
Keyword(s):  
Taylor Instability ◽  
Two Dimensional ◽  
Simple Experiment ◽  
Rayleigh Taylor Instability

Lattice Boltzmann simulation of the two-dimensional Rayleigh-Taylor instability

1998 ◽  
Vol 58 (5) ◽  
pp. 6861-6864 ◽  
Author(s):  
Xiaobo Nie ◽  
Yue-Hong Qian ◽  
Gary D. Doolen ◽  
Shiyi Chen
Keyword(s):  
Lattice Boltzmann ◽  
Taylor Instability ◽  
Two Dimensional ◽  
Lattice Boltzmann Simulation ◽  
Rayleigh Taylor Instability

scholarly journals TWO-DIMENSIONAL BLAST-WAVE-DRIVEN RAYLEIGH-TAYLOR INSTABILITY: EXPERIMENT AND SIMULATION

2009 ◽  
Vol 696 (1) ◽  
pp. 749-759 ◽  
Author(s):  
C. C. Kuranz ◽  
R. P. Drake ◽  
E. C. Harding ◽  
M. J. Grosskopf ◽  
H. F. Robey ◽  
...  
Keyword(s):  
Blast Wave ◽  
Taylor Instability ◽  
Two Dimensional ◽  
Rayleigh Taylor Instability ◽  
Experiment And Simulation

scholarly journals Rarefaction-driven Rayleigh–Taylor instability. Part 2. Experiments and simulations in the nonlinear regime

2018 ◽  
Vol 838 ◽  
pp. 320-355 ◽  
Author(s):  
R. V. Morgan ◽  
W. H. Cabot ◽  
J. A. Greenough ◽  
J. W. Jacobs
Keyword(s):  
Rarefaction Wave ◽  
Three Dimensional ◽  
Single Mode ◽  
Taylor Instability ◽  
Nonlinear Regime ◽  
Diffuse Interface ◽  
Late Time ◽  
Two Dimensional ◽  
Rayleigh Taylor Instability ◽  
Atwood Number

Experiments and large eddy simulation (LES) were performed to study the development of the Rayleigh–Taylor instability into the saturated, nonlinear regime, produced between two gases accelerated by a rarefaction wave. Single-mode two-dimensional, and single-mode three-dimensional initial perturbations were introduced on the diffuse interface between the two gases prior to acceleration. The rarefaction wave imparts a non-constant acceleration, and a time decreasing Atwood number, $A=(\unicode[STIX]{x1D70C}_{2}-\unicode[STIX]{x1D70C}_{1})/(\unicode[STIX]{x1D70C}_{2}+\unicode[STIX]{x1D70C}_{1})$, where $\unicode[STIX]{x1D70C}_{2}$ and $\unicode[STIX]{x1D70C}_{1}$ are the densities of the heavy and light gas, respectively. Experiments and simulations are presented for initial Atwood numbers of $A=0.49$, $A=0.63$, $A=0.82$ and $A=0.94$. Nominally two-dimensional (2-D) experiments (initiated with nearly 2-D perturbations) and 2-D simulations are observed to approach an intermediate-time velocity plateau that is in disagreement with the late-time velocity obtained from the incompressible model of Goncharov (Phys. Rev. Lett., vol. 88, 2002, 134502). Reacceleration from an intermediate velocity is observed for 2-D bubbles in large wavenumber, $k=2\unicode[STIX]{x03C0}/\unicode[STIX]{x1D706}=0.247~\text{mm}^{-1}$, experiments and simulations, where $\unicode[STIX]{x1D706}$ is the wavelength of the initial perturbation. At moderate Atwood numbers, the bubble and spike velocities approach larger values than those predicted by Goncharov’s model. These late-time velocity trends are predicted well by numerical simulations using the LLNL Miranda code, and by the 2009 model of Mikaelian (Phys. Fluids., vol. 21, 2009, 024103) that extends Layzer type models to variable acceleration and density. Large Atwood number experiments show a delayed roll up, and exhibit a free-fall like behaviour. Finally, experiments initiated with three-dimensional perturbations tend to agree better with models and a simulation using the LLNL Ares code initiated with an axisymmetric rather than Cartesian symmetry.

scholarly journals A Relaxation Filtering Approach for Two-Dimensional Rayleigh–Taylor Instability-Induced Flows

Fluids ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 78 ◽  
Author(s):  
Sk. Mashfiqur Rahman ◽  
Omer San
Keyword(s):  
High Resolution ◽  
Numerical Experiments ◽  
Single Mode ◽  
Taylor Instability ◽  
Two Dimensional ◽  
Reconstruction Scheme ◽  
Rayleigh Taylor Instability ◽  
Multi Mode ◽  
Filtering Approach ◽  
Point Stencil

In this paper, we investigate the performance of a relaxation filtering approach for the Euler turbulence using a central seven-point stencil reconstruction scheme. High-resolution numerical experiments are performed for both multi-mode and single-mode

scholarly journals Arbitrary Lagrange–Eulerian code simulations of turbulent Rayleigh–Taylor instability in two and three dimensions

2003 ◽  
Vol 21 (3) ◽  
pp. 455-461 ◽  
Author(s):  
S.V. WEBER ◽  
G. DIMONTE ◽  
M.M. MARINAK
Keyword(s):  
Linear Growth ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Grid Refinement ◽  
Group Code ◽  
Interface Reconstruction ◽  
Intercomparison Project ◽  
Rayleigh Taylor Instability

We have performed simulations of the evolution of the turbulent Rayleigh–Taylor instability with an arbitrary Lagrange–Eulerian code. The problem specification was defined by Dimonteet al.(2003) for the “alpha group” code intercomparison project. Perfect γ = 5/3 gases of densities 1 and 3 g/cm3are accelerated by constant gravity. The nominal problem uses a 2562× 512 mesh with initial random multiwavelength interface perturbations. We have also run three-dimensional problems with smaller meshes and two-dimensional (2D) problems of several mesh sizes. Under-resolution lowered linear growth rates of the seed modes to 5-60% of the analytic values, depending on wavelength and orientation to the mesh. However, the mix extent in the 2D simulations changed little with grid refinement. Simulations without interface reconstruction gave penetration only slightly reduced from the case with interface reconstruction. Energy dissipation differs little between the two cases. The slope of the penetration distance versus time squared, corresponding to the α parameter inh= αAgt2, decreases with increasing time in these simulations. The slope, α, is consistent with the linear electric motor data of Dimonte and Schneider (2000), but the growth is delayed in time.

scholarly journals Supernova Explosions - The Role of a Rayleigh-Taylor Instability

1980 ◽  
Vol 58 ◽  
pp. 571-577
Author(s):  
J. Robert Buchler ◽  
Mario Livio ◽  
Stirling A. Colgate
Keyword(s):  
Large Scale ◽  
Supernova Explosion ◽  
Taylor Instability ◽  
Core Collapse ◽  
Two Dimensional ◽  
Supernova Explosions ◽  
Hydrodynamic Study ◽  
Rayleigh Taylor Instability ◽  
Energy And Momentum

AbstractA two dimensional hydrodynamic study indicates that convectively unstable gradients which develop during core collapse and bounce give rise to large scale core overturn. It is also shown that the concomitant release of neutrini can deposit large amounts of energy and momentum in the infalling envelope and give rise to a powerful supernova explosion.

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