A viscous vortex single-mode bubble evolution model of Rayleigh Taylor instability and its numerical study

2013 ◽  
Vol 13 (1) ◽  
pp. 44
Author(s):  
Xu Zhang ◽  
Jinhong Liu
Keyword(s):  
Numerical Study ◽  
Single Mode ◽  
Taylor Instability ◽  
Evolution Model ◽  
Rayleigh Taylor Instability ◽  
Bubble Evolution

A numerical study of bubble interactions in Rayleigh–Taylor instability for compressible fluids

1990 ◽  
Vol 2 (11) ◽  
pp. 2046-2054 ◽  
Author(s):  
J. Glimm ◽  
X. L. Li ◽  
R. Menikoff ◽  
D. H. Sharp ◽  
Q. Zhang
Keyword(s):  
Numerical Study ◽  
Taylor Instability ◽  
Compressible Fluids ◽  
Bubble Interactions ◽  
Rayleigh Taylor Instability

scholarly journals Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Wanhai Liu ◽  
Xiang Wang ◽  
Xingxia Liu ◽  
Changping Yu ◽  
Ming Fang ◽  
...  
Keyword(s):  
Single Mode ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

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.

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