A review of spurious currents in the lattice Boltzmann method for multiphase flows

Connington, Kevin; Lee, Taehun

doi:10.1007/s12206-012-1011-5

Cited by 105 publications

(57 citation statements)

References 23 publications

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“…Among those, the free energy model [38][39][40][41]45,47 has been demonstrated to be more suitable for dealing with a large density ratio of is a small-amplitude artificial (nonphysical) velocity field arising from an imbalance of discretized force across the interface. Such a parasitic current appears in all the LBM multi-phase models 44 . In the current work, we employ the free-energy modeling approach that was originated by He et al 38,39 based on the free-energy theory 49-51 first introduced by Swift et al 40,41 .…”

Section: Introductionmentioning

confidence: 97%

“…In the past three decades, several multi-phase models using LBM have been developed, including the color fluid model 35 , the pseudo-potential model 36,37 , the mean-field model 38,39 , the phase-field model 40,41 , and the entropic LBM 42 . These methods have been continuously refined and applied to simulate various multi-phase flow problems (see both general LBM reviews 33,34 and specific multiphase LBM reviews 43,44 , and therein references). In spite of efforts and successful applications in various flow systems, simulation of multi-phase flows with large density and viscosity ratios between two fluids, as the current application targets, is still challenging.…”

Section: Introductionmentioning

confidence: 99%

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Spatial and temporal scaling of unequal microbubble coalescence

Chen

Zhu

et al. 2016

AIChE Journal

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We numerically study coalescence of air microbubbles in water, with density ratio 833 and viscosity ratio 50.5, using lattice Boltzmann method. The focus is on the effects of size inequality of parent bubbles on the interfacial dynamics and coalescence time. Twelve cases, varying the size ratio of large to small parent bubble from 5.33 to 1, are systematically investigated. The "coalescence preference", coalesced bubble closer to the larger parent bubble, is well observed and the captured power-law relation between the preferential relative distance χ and size inequality γ, χ ∼ γ −2.079 , is consistent to the recent experimental observations. Meanwhile, the coalescence time also exhibits power-law scaling as T ∼ γ −0.7 , indicating that unequal bubbles coalesce faster than equal bubbles.Such a temporal scaling of coalescence on size inequality is believed to be the first-time observation as the fast coalescence of microbubbles is generally hard to be recorded through laboratory experimentation.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Spatial and temporal scaling of unequal microbubble coalescence

Chen

Zhu

et al. 2016

AIChE Journal

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“…With the exception of the latter, these models are restricted to Boussinesq flows in their original formulations, a limit which has been pushed by the many recent developments described in several reviews, see e.g. [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

Matin¹,

Misztal²,

Hernández-García³

et al. 2017

Computers & Mathematics with Applications

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In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underly- forcing terms in the advection term, the current scheme applies collision and forcing terms locally for a simpler finite element formulation. A series of thorough benchmark studies reveal that this does not compromise stability and that the scheme is able to accurately simulate flows at large density and viscosity contrasts.

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“…(37), one can easily obtain k = .1504×0.7 = 1.583 is a constant when β is fixed at 0.7 (for a larger β, e.g. β = 1, the interface cannot be accurately described because of insufficient number of lattice grids across the interface, which can be seen in and Lee [70]. However, none of the existing color-gradient LBMs can elimi-nate the spurious velocities to roundoff.…”

Section: Static Droplet Testmentioning

confidence: 99%

A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio

Liu

et al. 2016

Journal of Computational Physics

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A review of spurious currents in the lattice Boltzmann method for multiphase flows

Cited by 105 publications

References 23 publications

Spatial and temporal scaling of unequal microbubble coalescence

Spatial and temporal scaling of unequal microbubble coalescence

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio

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