Extended hybrid pressure and velocity boundary conditions for D3Q27 lattice Boltzmann model

Cheng, Hui; Qiao, Yuxin; Liu, Chang; Li, Yongbing; Zhu, Bingli; Shi, Yaolin; Sun, Dongsheng; Zhang, Kai; Lin, Weiren

doi:10.1016/j.apm.2011.08.015

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…In this study, following the procedure suggested by Cheng et al, we use horizontal velocity setting at inlet boundary, as u y α = 0 and u z α = 0. At the outlet, we use the zero gradient boundary condition for calculating u y α and u z α .…”

Section: Methodsmentioning

confidence: 99%

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Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Tang

Zhan

et al. 2019

Energy Fuels

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With the worldwide increasing concern regarding environmental protection and controlling carbon emission, carbon dioxide (CO2) displacement in the subsurface becomes a vital process in environmental engineering and petroleum engineering. In this study, we propose a new “D3Q27” three fluid phase lattice Boltzmann method (TPLBM) based on a multiple relaxation time algorithm to study the flow behavior of three fluids, water, CO2, and oil in this study. A series of TPLBM simulation studies are carried out on a three-dimensional digital replica of a rock (sandstone) to investigate the microprocesses and mechanisms of CO2 displacement from its oil–water–CO2 systems. Data gathered from high-resolution X-ray computed tomography scanning of a sandstone sample from Daqing oilfield, Longhupao, Songliao Basin, China, is used to construct the rock replica. TPLBM numerical simulations are conducted to analyze the microdisplacement of CO2 in sandstone under different injection conditions. The results show that the displacement efficiency is higher at higher injection rates and pressure differences, with a constant total volume of injected CO2. The optimal injection rate and pressure difference for CO2 displacement in sandstone are identified. The average ultimate CO2 displacement efficiency is 90.1% when the injection rate remains constant, whereas the average ultimate CO2 displacement efficiency is 95.8% when the injection pressure difference remains constant. The proposed method offers a new method for analyzing the pore-scale three fluid phase flow in sandstone.

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Section: Methodsmentioning

confidence: 99%

“…In this study, following the procedure suggested by Cheng et al, 111 → ⎯→ ⎯ and c s 2 are all known coefficients, once we calculated the density and velocity, u x α based on eqs 17 and 18, we could get the distribution function, f 1 α from f 2 α based on eq 20. To maintain the symmetry of the problem, 93,95…”

Section: Energy and Fuelsmentioning

confidence: 99%

Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Tang

Zhan

et al. 2019

Energy Fuels

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“…There are 27 velocity vectors involved in the model of D3Q27 [16], and all the directions are taken into account. The 27 velocity vectors refer to the distribution functions ranging from f0 to f26, respectively.…”

Section: Of 15mentioning

confidence: 99%

Spatiotemporal Evolution of Wind Turbine Wake Characteristics at Different Inflow Velocities

Xu,

Yang,

Qian

et al. 2024

Energies

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In this paper, the spatiotemporal evolution of wind turbine (WT) wake characteristics is studied based on lattice Boltzmann method-large eddy simulations (LBM-LES) and grid adaptive encryption at different incoming flow velocities. It is clearly captured that secondary flow occurs in the vortex ring under shear force in the incoming flow direction, the S-wave and the Kelvin–Helmholtz instability occur in the major vortex ring mainly due to the unstable vortex ring interface with small disturbance of shear velocity along the direction of flow velocity. The S-wave and Kelvin–Helmholtz instability are increasingly enhanced in the main vortex ring, and three-dimensional disturbances are inevitable along the mainstream direction when it evolves along the flow direction. With increasing incoming flow, the S-wave and Kelvin–Helmholtz instability are gradually enhanced due to the increasing shear force in the flow direction. This is related to the nonlinear growth mechanism of the disturbance. The analysis of the velocity signal, as well as the pressure signal with a fast Fourier transform, indicates that the interaction between the vortices effectively accelerates the turbulence generation. In the near-field region of the wake, the dissipation mainly occurs at the vortex at the blade tip, and the velocity distribution appears asymmetric around the turbine centerline under shear and the mixing of fluids with different velocities in the wake zone also leads to asymmetric distributions.

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“…These multiphase models are regularly used in modeling droplet motion or generation, droplets sorting, bubble rising, and two‐phase immiscible displacement in channel or in porous media . Open flow boundary conditions or flux boundary conditions are frequently used in the above flows . However, in many realistic two‐phase applications, the flows are usually driven by the dynamic source originated from the pressure difference between bilateral ends of a streamtube, and thereby it is necessary to propose appropriate boundary conditions to ensure the simulated flow of interest is similar to the practical one.…”

Section: Introductionmentioning

confidence: 99%

Pressure boundary condition in a multiphase lattice Boltzmann method and its applications on simulations of two‐phase flows

Wang

Peng

2020

Numerical Methods in Fluids

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As a lattice Boltzmann method, He-Chen-Zhang model is widely used in two-phase simulations. However, the pressure boundary conditions applied in He-Chen-Zhang model have hardly been discussed in detail before. In this article, a pressure boundary condition for single-phase flows is extended to He-Chen-Zhang model for simulating two-phase flows in porous media or in channel. Several cases are conducted for validation. Qualitatively, the displacement of two-phase flows in porous media or in channel is reproduced; the manipulations of droplet in T-junction, duct, or needle are simulated. These numerical results match well with the basic physical reality. Quantitatively, we tested the displacement of two-phase fluids in a channel under specified pressure gradient, and it is found that the velocity profile on the crosssection coincides with the analytical solution exactly. Moreover, for stable displacement of two-phase flows in a channel, the numerical linear relation between the apparent contact angle and the velocity of contact line coincides well with the theoretical result reported before. The present pressure boundary condition proves to be a reliable method to deal with the problems of two-phase flows, which are driven by pressure difference. K E Y W O R D S displacement, droplet, lattice Boltzmann, pressure boundary conditions, two-phase flows 1 Int J Numer Meth Fluids. 2020;92:669-686. wileyonlinelibrary.com/journal/fld

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Extended hybrid pressure and velocity boundary conditions for D3Q27 lattice Boltzmann model

Cited by 10 publications

References 18 publications

Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Spatiotemporal Evolution of Wind Turbine Wake Characteristics at Different Inflow Velocities

Pressure boundary condition in a multiphase lattice Boltzmann method and its applications on simulations of two‐phase flows

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Extended hybrid pressure and velocity boundary conditions for D3Q27 lattice Boltzmann model

Cited by 10 publications

References 18 publications

Pore-Scale CO2 Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Pore-Scale CO2 Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Spatiotemporal Evolution of Wind Turbine Wake Characteristics at Different Inflow Velocities

Pressure boundary condition in a multiphase lattice Boltzmann method and its applications on simulations of two‐phase flows

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Product

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Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method

Pore-Scale CO₂ Displacement Simulation Based on the Three Fluid Phase Lattice Boltzmann Method