Comptes Rendus
Discrete simulation of fluid dynamics
Study of hydrodynamic instabilities with a multiphase lattice Boltzmann model
Comptes Rendus. Mécanique, Volume 343 (2015) no. 10-11, pp. 571-579.

Rayleigh–Taylor and Kelvin–Helmholtz hydrodynamic instabilities are frequent in many natural and industrial processes, but their numerical simulation is not an easy challenge. This work simulates both instabilities by using a lattice Boltzmann model on multiphase fluids at a liquid-vapour interface, instead of multicomponent systems like the oil–water one. The model, proposed by He, Chen and Zhang (1999) [1] was modified to increase the precision by computing the pressure gradients with a higher order, as proposed by McCracken and Abraham (2005) [2]. The resulting model correctly simulates both instabilities by using almost the same parameter set. It also reproduces the relation γA between the growing rate γ of the Rayleigh–Taylor instability and the relative density difference between the fluids (known as the Atwood number A), but including also deviations observed in experiments at low density differences. The results show that the implemented model is a useful tool for the study of hydrodynamic instabilities, drawing a sharp interface and exhibiting numerical stability for moderately high Reynolds numbers.

Published online:
DOI: 10.1016/j.crme.2015.07.014
Keywords: Lattice Boltzmann, Multiphase flow, Hydrodynamic instabilities, Atwood number

Ali Mauricio Velasco 1; José Daniel Muñoz 1

1 Universidad Nacional de Colombia, Physics Department, Colombia
     author = {Ali Mauricio Velasco and Jos\'e Daniel Mu\~noz},
     title = {Study of hydrodynamic instabilities with a multiphase lattice {Boltzmann} model},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {571--579},
     publisher = {Elsevier},
     volume = {343},
     number = {10-11},
     year = {2015},
     doi = {10.1016/j.crme.2015.07.014},
     language = {en},
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PB  - Elsevier
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Ali Mauricio Velasco; José Daniel Muñoz. Study of hydrodynamic instabilities with a multiphase lattice Boltzmann model. Comptes Rendus. Mécanique, Volume 343 (2015) no. 10-11, pp. 571-579. doi : 10.1016/j.crme.2015.07.014.

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