scholarly journals Late-time description of immiscible Rayleigh–Taylor instability: A lattice Boltzmann study

2021 ◽  
Vol 33 (8) ◽  
pp. 082103
Author(s):  
Hong Liang ◽  
Zhenhua Xia ◽  
Haowei Huang
Keyword(s):  
Lattice Boltzmann ◽  
Taylor Instability ◽  
Late Time ◽  
Rayleigh Taylor Instability ◽  
Time Description

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

APPLICATIONS OF FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD TO BREAKUP AND COALESCENCE IN MULTIPHASE FLOWS

2009 ◽  
Vol 20 (11) ◽  
pp. 1803-1816 ◽  
Author(s):  
DANIELE CHIAPPINI ◽  
GINO BELLA ◽  
SAURO SUCCI ◽  
STEFANO UBERTINI
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann ◽  
Multiphase Flows ◽  
Liquid Droplet ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Droplet Breakup ◽  
Lattice Boltzmann Model ◽  
Test Case ◽  
Rayleigh Taylor Instability

We present an application of the hybrid finite-difference Lattice-Boltzmann model, recently introduced by Lee and coworkers for the numerical simulation of complex multiphase flows.1–4 Three typical test-case applications are discussed, namely Rayleigh–Taylor instability, liquid droplet break-up and coalescence. The numerical simulations of the Rayleigh–Taylor instability confirm the capability of Lee's method to reproduce literature results obtained with previous Lattice-Boltzmann models for non-ideal fluids. Simulations of two-dimensional droplet breakup reproduce the qualitative regimes observed in three-dimensional simulations, with mild quantitative deviations. Finally, the simulation of droplet coalescence highlights major departures from the three-dimensional picture.

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.

Lattice Boltzmann simulation of the Rayleigh–Taylor Instability (RTI) during the mixing of the immiscible fluids

2021 ◽  
Vol 85 ◽  
pp. 276-288
Author(s):  
Kumara Ari Yuana ◽  
Bahrul Jalaali ◽  
Eko Prasetya Budiana ◽  
Pranowo ◽  
Adhika Widyaparaga ◽  
...  
Keyword(s):  
Lattice Boltzmann ◽  
Immiscible Fluids ◽  
Taylor Instability ◽  
Lattice Boltzmann Simulation ◽  
Rayleigh Taylor Instability

scholarly journals SIMULATION OF RAYLEIGH-TAYLOR INSTABILITY BY THE LATTICE BOLTZMANN MODEL

1997 ◽  
Vol 46 (8) ◽  
pp. 1508
Author(s):  
NIE XIAO-BO ◽  
ZHANG ZHONG-ZHEN ◽  
FU HONG-YUAN ◽  
SHEN LONG-JUN ◽  
WANG JI-HAI
Keyword(s):  
Lattice Boltzmann ◽  
Taylor Instability ◽  
Lattice Boltzmann Model ◽  
Rayleigh Taylor Instability ◽  
Boltzmann Model

The late-time dynamics of the single-mode Rayleigh-Taylor instability

2012 ◽  
Vol 24 (7) ◽  
pp. 074107 ◽  
Author(s):  
P. Ramaprabhu ◽  
Guy Dimonte ◽  
P. Woodward ◽  
C. Fryer ◽  
G. Rockefeller ◽  
...  
Keyword(s):  
Single Mode ◽  
Taylor Instability ◽  
Late Time ◽  
Time Dynamics ◽  
Rayleigh Taylor Instability
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