Modified curved boundary scheme for two-phase lattice Boltzmann simulations

Yu, Ying; Li, Qing; Zhou, Wen

doi:10.1016/j.compfluid.2020.104638

Cited by 23 publications

(15 citation statements)

References 58 publications

(61 reference statements)

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“…Although the errors in the above modified interpolations are small after the initial stage, they would influence the chemical potential, whose equilibrium determines the phase transition. The mass fluctuation caused by the interpolating error is compensated as the local and static mass component in every time step [34,35],…”

Section: Mass Modification For Interpolating Errormentioning

confidence: 99%

“…Curved BCs are all constructed based on the principles of interpolation and extrapolation, some scholars have made some improvements in single-phase flow [10,33,34], and few studies have been conducted on the application of curved boundaries to the conservation of mass in multiphase flows. To solve the mass leakage, one can enforce mass conservation by adding or removing mass from the system [33][34][35]. The improved scheme is simple, but in some cases the distribution function in the 0 direction may be negative [35].…”

Section: Introductionmentioning

confidence: 99%

“…To solve the mass leakage, one can enforce mass conservation by adding or removing mass from the system [33][34][35]. The improved scheme is simple, but in some cases the distribution function in the 0 direction may be negative [35]. Therefore, in order to improve the accuracy of multiphase flow simulation, it is meaningful to develop an accurate and mass-conserving curved BC.…”

Section: Introductionmentioning

confidence: 99%

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Multiphase curved boundary condition in lattice Boltzmann method

Yao,

Liu,

Zhong

et al. 2022

Preprint

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The boundary treatment is fundamental for modeling fluid flows; especially, the curved boundary condition, which accurately describes the boundary geometry, can effectively improve the accuracy of simulations with complex boundaries. However, although curved boundary conditions have been successfully applied in single-phase lattice Boltzmann simulations, they cause dramatical mass leakage or increase when it is directly used for multiphase flows. We find that the principal reason is the absence of nonideal effect, followed by the calculation error. In this paper, incorporating the nonideal effect into the linear interpolation scheme and compensating the interpolating error, we propose a multiphase curved boundary condition to treat wetting boundaries with complex geometries. A series of static and dynamic multiphase simulations with large density ratio verify that the present scheme is accurate and ensures mass conservation.

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Section: Mass Modification For Interpolating Errormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiphase curved boundary condition in lattice Boltzmann method

Yao,

Liu,

Zhong

et al. 2022

Preprint

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show abstract

“…For the wetting condition, there are many different proposals. [19][20][21] In the method proposed by Martys and Chen, 22 the contact angle is controlled by the strength of the fluid-solid interaction. Chen et al 6 introduced a new degree of freedom with the virtual solid density, which controls the contact angle and can be a function of the position.…”

Section: Introductionmentioning

confidence: 99%

Wetting boundary conditions for multicomponent pseudopotential lattice Boltzmann

Coelho

Moura

Gama

et al. 2021

Numerical Methods in Fluids

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The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent Lattice Boltzmann are accurate when the wall is aligned with the main axes of the lattice but fail otherwise. To solve this problem, we extend a strategy previously developed for multiphase models. As an example, we study the coalescence of two droplets on a curved surface in two dimensions.The strategy proposed here is of special relevance for binary flows in complex geometries.

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“…1A. For the wetting condition, there are many different proposals 14,15,16 . In the method proposed by Martys and Chen 17 , the contact angle is controlled by the strength of the fluid-solid interaction.…”

Section: Introductionmentioning

confidence: 99%

Wetting boundary conditions for multicomponent pseudopotential lattice Boltzmann

Coelho,

Moura,

da Gama

et al. 2020

Preprint

View full text Add to dashboard Cite

The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent Lattice Boltzmann are accurate when the wall is aligned with the main axes of the lattice but fail otherwise. To solve this problem, we extend a strategy previously developed for multiphase models. As an example, we study the coalescence of two droplets on a curved surface in two dimensions. The strategy proposed here is of special relevance for binary flows in complex geometries.

show abstract

Modified curved boundary scheme for two-phase lattice Boltzmann simulations

Cited by 23 publications

References 58 publications

Multiphase curved boundary condition in lattice Boltzmann method

Multiphase curved boundary condition in lattice Boltzmann method

Wetting boundary conditions for multicomponent pseudopotential lattice Boltzmann

Wetting boundary conditions for multicomponent pseudopotential lattice Boltzmann

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