Multiphase curved boundary condition in lattice Boltzmann method

Yao, Yichen; Liu, Yangsha; Zhong, Xing-Guo; Wen, Binghai

doi:10.1103/physreve.106.015307

Cited by 10 publications

(6 citation statements)

References 48 publications

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“…In order to depict the curved surface more accurately, we choose curved boundary conditions to complete the missing distribution function at the boundary, which stream, in concept, from a solid node to a fluid node. 60 Contact Angle Measurement on Curved Wetting Surface. In natural phenomena and scientific research, wetting substrates often have complex boundary shapes.…”

Section: ■ Mesoscopic Measurement Of Contact Angle On Curved Surfacementioning

confidence: 99%

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Contact Angle Measurement on Curved Wetting Surfaces in Multiphase Lattice Boltzmann Method

Liu

Yao

et al. 2023

Langmuir

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Contact angle is an essential physical quantity that characterizes the wettability of a substrate. Although it is widely used in the studies of surface wetting, capillary phenomena, and moving contact lines, the contact angle measurements in simulations and experiments are still complicated and time-consuming. In this paper, we present an efficient scheme for the measurement of contact angle on curved wetting surfaces in lattice Boltzmann simulations. The measuring results are in excellent agreement with the theoretical predictions without considering the gravity effect. A series of simulations with various drop sizes and surface curvatures confirm that the present scheme is gridindependent. Then, the scheme is verified in gravitational environments by simulating the deformations of sessile and pendent droplets on the curved wetting surface. The numerical results are highly consistent with experimental observations and support the theoretical analysis that the microscopic contact angle is independent of gravity. Furthermore, the method utilizes only the microscopic geometry of the contact angle and does not depend on the droplet profile; therefore, it can be applied to nonaxisymmetric shapes or moving contact lines. The scheme is applied to capture the dynamic contact angle hysteresis on homogeneous or chemically heterogeneous curved surfaces. Importantly, the accurate contact angle measurement enables the dynamic mechanical analysis of moving contact lines. The present measurement is simple and efficient and can be extended to implementations in various multiphase lattice Boltzmann models.

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Section: ■ Mesoscopic Measurement Of Contact Angle On Curved Surfacementioning

confidence: 99%

“…For an orange node, s w = 1 when x s + e i δ t is cyan; otherwise, s w = 0. In order to depict the curved surface more accurately, we choose curved boundary conditions to complete the missing distribution function at the boundary, which stream, in concept, from a solid node to a fluid node …”

Section: Mesoscopic Measurement Of Contact Angle On Curved Surfacementioning

confidence: 99%

Contact Angle Measurement on Curved Wetting Surfaces in Multiphase Lattice Boltzmann Method

Liu

Yao

et al. 2023

Langmuir

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“…However, in multiphase systems, the scheme leads to mass leakage due to the unbalance of outgoing and incoming mass at the boundary nodes. As a result, for a static droplet resting on a disc or sphere, the droplet shrinks or expands spontaneously (Yu et al 2020;Yao et al 2022). To overcome mass leakage, Yu et al (2020) proposed a simple strategy by adding a compensation term in the rest DDFs:…”

Section: Fluid-solid Interactionsmentioning

confidence: 99%

“…They mostly suffer from violation of mass conservation (Krueger et al 2016), owing to the mass imbalance between the outgoing and incoming distribution functions at each boundary node. Recently, some modified mass-conservative curved boundary schemes for two-phase lattice Boltzmann simulations have been proposed (Yu, Li & Wen 2020;Yao et al 2022), while these schemes have not been tested in three-phase systems with moving solid boundaries.…”

Section: Introductionmentioning

confidence: 99%

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Coupled lattice Boltzmann method–discrete element method model for gas–liquid–solid interaction problems

Fei,

Qin,

Wang

et al. 2023

J. Fluid Mech.

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In this paper, we propose a numerical model to simulate gas–liquid–solid interaction problems, coupling the lattice Boltzmann method and discrete element method (LBM–DEM). A cascaded LBM is used to simulate the liquid–gas flow field using a pseudopotential interaction model for describing the liquid–gas multiphase behaviour. A classical DEM resorting to fictitious overlaps between the particles is used to simulate the multiple-solid-particle system. A multiphase fluid–solid two-way coupling algorithm between LBM and DEM is constructed. The model is validated by four benchmarks: (i) single disc sedimentation, (ii) single floating particle on a liquid–gas interface, (iii) sinking of a horizontal cylinder and (iv) self-assembly of three particles on a liquid–gas interface. Our simulations agree well with the numerical results reported in the literature. Our proposed model is further applied to simulate droplet impact on deformable granular porous media at pore scale. The dynamic droplet spreading process, the deformation of the porous media (composed of up to 1277 solid particles) as well as the invasion of the liquid into the pores are well captured, within a wide range of impact Weber number. The droplet spreading dynamics on particles is analysed based on the energy budget, which reveals mechanisms at play, showing the evolution of particle energy, surface energy and viscous dissipation energy. A scaling relation based on the impact Weber number is proposed to describe the maximum spreading ratio.

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A simple diffuse interface immersed-boundary scheme for multiphase flows with curved boundaries

Niu

Zhou

Xiao

et al. 2022

International Journal of Multiphase Flow

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Multiphase curved boundary condition in lattice Boltzmann method

Cited by 10 publications

References 48 publications

Contact Angle Measurement on Curved Wetting Surfaces in Multiphase Lattice Boltzmann Method

Contact Angle Measurement on Curved Wetting Surfaces in Multiphase Lattice Boltzmann Method

Coupled lattice Boltzmann method–discrete element method model for gas–liquid–solid interaction problems

A simple diffuse interface immersed-boundary scheme for multiphase flows with curved boundaries

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