A multiphase three-dimensional multi-relaxation time (MRT) lattice Boltzmann model with surface tension adjustment

Ammar, Sami; Pernaudat, Guillaume; Trépanier, Jean‐Yves

doi:10.1016/j.jcp.2017.04.045

Cited by 26 publications

(10 citation statements)

References 38 publications

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“…τ represents the (single) relaxation time towards local equilibrium [19]; M and Λ are the transformation matrix and the (diagonal) matrix of the relaxation parameters, respectively: for the details on thier formulation, the reader is addressed to [43]. More specifically, the Λ vector has s 2 = s 10 = s 12 = s 14 = s 15 = s 16 = ω = 2c 2 s c 2 s +ν and all the other free parameters equal to 1, where ν is the kinematic viscosity and c 2 s is the squared lattice speed of sound.…”

Section: Numerical Modelsmentioning

confidence: 99%

Hydrodynamic behavior of the pseudopotential lattice Boltzmann method for interfacial flows

et al. 2019

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The lattice Boltzmann method (LBM) is routinely employed in the simulation of complex multiphase flows comprising bulk phases separated by non-ideal interfaces. LBM is intrinsically mesoscale with an hydrodynamic equivalence popularly set by the Chapman-Enskog analysis, requiring that fields slowly vary in space and time. The latter assumptions become questionable close to interfaces, where the method is also known to be affected by spurious non hydrodynamical contributions. This calls for quantitative hydrodynamical checks. In this paper we analyze the hydrodynamic behaviour of LBM pseudo-potential models for the problem of break-up of a liquid ligament triggered by the Plateau-Rayleigh instability. Simulations are performed at fixed interface thickness, while increasing the ligament radius, i.e. in the "sharp interface" limit. Influence of different LBM collision operators is also assessed. We find that different distributions of spurious currents along the interface may change the outcome of the pseudo-potential model simulations quite sensibly, which suggests that a proper fine-tuning of pseudo-potential models in time-dependent problems is needed before the utilization in concrete applications. Taken all together, we argue that the results of the proposed study provide a valuable insight for engineering pseudo-potential model applications involving the hydrodynamics of liquid jets.

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Section: Numerical Modelsmentioning

confidence: 99%

Hydrodynamic behavior of the pseudopotential lattice Boltzmann method for interfacial flows

et al. 2019

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“…These original models suffered from well reported limitations such as low density ratios, spurious currents, and non-physical interdependency of parameters [37]. With recent advances [63,28,46,43,41,2], the complexity of the model has increased, but so too has its applicability to fluid flows with high density and viscosity ratios. Yuan and Schaefer [63] were amongst the first to incorporate various equations of state within the pseudopotential framework.…”

Section: A C C E P T E D Mmentioning

confidence: 99%

Development of a three-dimensional phase-field lattice Boltzmann method for the study of immiscible fluids at high density ratios

Mitchell

Leonardi

Fakhari

2018

International Journal of Multiphase Flow

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights• 3D-CFD investigation of Taylor bubble rising through quiescent fluid in con-junction with pre-existing experimental results.

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“…According to Ammar et al [22], the surface tension can be decoupled from pseudopotential model parameters by adding an extra source term in evolution equation (1).…”

Section: D Mrt Pseudopotential Lattice Boltzmann Methodsmentioning

confidence: 99%

Effects of Perforation Shapes on Water Transport in PEMFC Gas Diffusion Layers

Yang¹,

Luo²,

Ma³

et al. 2019

SAE Int. J. Adv. & Curr. Prac. in Mobility

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Water management, particularly in the gas diffusion layers (GDL), plays an important role in the performance and reliability of the proton exchange membrane fuel cells (PEMFCs). In this study, a two-phase multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is employed to simulate water transport in a reconstructed GDL and the effect of perforation shapes is investigated. The revised pseudopotential multiphase model is adopted to realize high-density ratio, good thermodynamic consistency, adjustable surface tension and high contact angle. The transport characteristics are analyzed in both vertical and horizontal transport directions. The LBM simulation provides detailed results in mesoscale and indicates that the surface tension dominates the process of water transport in the perforated GDL, which exhibits unexpectedly similarities in the vertical and horizontal transport. Besides, it is found that the cone-like perforations perform better than cylinder-like perforations as little water clusters together in the bottom of the perforation. Finally, the optimized perforation with defined parameters is derived and discussed, providing guidelines for improving the GDL performance in engineering applications.

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A multiphase three-dimensional multi-relaxation time (MRT) lattice Boltzmann model with surface tension adjustment

Cited by 26 publications

References 38 publications

Hydrodynamic behavior of the pseudopotential lattice Boltzmann method for interfacial flows

Hydrodynamic behavior of the pseudopotential lattice Boltzmann method for interfacial flows

Development of a three-dimensional phase-field lattice Boltzmann method for the study of immiscible fluids at high density ratios

Effects of Perforation Shapes on Water Transport in PEMFC Gas Diffusion Layers

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