Investigating the effects of viscosity and density ratio on the numerical analysis of Rayleigh-Taylor instability in two-phase flow using Lattice Boltzmann method: From early stage to equilibrium state

2021 ◽  
Vol 411 ◽  
pp. 126490
Author(s):  
Bahrul Jalaali ◽  
Muhammad Ridlo Erdata Nasution ◽  
Kumara Ari Yuana ◽  
Deendarlianto ◽  
Okto Dinaryanto
2008 ◽  
Vol 41 (16) ◽  
pp. 3455-3461 ◽  
Author(s):  
M.A. Hussein ◽  
S. Esterl ◽  
R. Pörtner ◽  
K. Wiegandt ◽  
T. Becker

Author(s):  
Saeed J. Almalowi ◽  
Dennis E. Oztekin ◽  
Alparslan Oztekin

Multi relaxation lattice Boltzmann method is implemented to study Rayleigh-Taylor instabilities. Two immiscible fluids (oil and water) are arrayed into three layers. D2Q9 lattice arrangement for two dimensional computational domains is employed. Density distribution functions for each fluid and distribution functions for the coloring step are determined. The evolution of the interface is identified with the coloring step. Buoyancy and other interaction forces, created by buoyancy, between phases are modeled. Two cases are studied one with periodic boundary condition instead of a side wall, and one bounded on all sides. The study is done with an aspect ratio of two and a density ratio of 1.2. The early and late stages of the instability are characterized. The early stage of both cases shows the initial periodic disturbance being amplified rapidly on the lower interface. The late stages show mushroom-like structures, with significant distortions occurring on the bounded case.


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