2018
DOI: 10.1016/j.compfluid.2018.08.002
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Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow

Abstract: 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 • Four slip boundary conditions are pre… Show more

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Cited by 34 publications
(13 citation statements)
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References 40 publications
(89 reference statements)
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“…Those, in turn, can be described by the Boltzman kinetic model with the aid of numeric simulation methods, such as the Lattice Boltzmann Method (LBM), the Molecular Dynamics (MD) method, the Direct Simulation of Monte Carlo (DSMC) [11,12] and the Computer Fluid Dynamics (CFD) method. The LBM method derives from the Boltzmann equation without the continuum assumption, and is a common tool used in numerical studies [13]. Nevertheless, the Navier-Stokes method with the first-order slip boundary condition can give results consistent with those obtained by numerical simulations based on the Boltzman model for fluids with a Knudsen number between 0.01 and 0.1.…”
Section: Introductionmentioning
confidence: 89%
“…Those, in turn, can be described by the Boltzman kinetic model with the aid of numeric simulation methods, such as the Lattice Boltzmann Method (LBM), the Molecular Dynamics (MD) method, the Direct Simulation of Monte Carlo (DSMC) [11,12] and the Computer Fluid Dynamics (CFD) method. The LBM method derives from the Boltzmann equation without the continuum assumption, and is a common tool used in numerical studies [13]. Nevertheless, the Navier-Stokes method with the first-order slip boundary condition can give results consistent with those obtained by numerical simulations based on the Boltzman model for fluids with a Knudsen number between 0.01 and 0.1.…”
Section: Introductionmentioning
confidence: 89%
“…59−61 However, these boundary conditions often cause numerical artifacts or inaccurate results. Later, the hybrid schemes such as BB-SR (BSR), 62 DM-SR (DSR), 63,64 and DM-BB (DBB) 65,66 boundary conditions were proposed, and different slip lengths could be realized by changing the combination parameter.…”
Section: Introductionmentioning
confidence: 99%
“…For the nanoscale effect of the boundary slip format, the boundary conditions of the bounce back (BB), specular reflection (SR), and diffusive Maxwell’s reflection (DM) have been widely used in the past. However, these boundary conditions often cause numerical artifacts or inaccurate results. Later, the hybrid schemes such as BB-SR (BSR), DM-SR (DSR), , and DM-BB (DBB) , boundary conditions were proposed, and different slip lengths could be realized by changing the combination parameter.…”
Section: Introductionmentioning
confidence: 99%
“…Basically, fluid dynamics can involve the motion of distributions/populations of fabricated particles which can stream and colloid along a Cartesian lattice. LBM has been employed in a broad range of engineering applications such as single-phase flow [5][6][7] , multiphase flow [8][9][10][11] , phase-change heat transfer 10,12 , turbulent regime in various transport phenomena [13][14][15][16][17] , and solving nonlinear partial differential equations (NPDEs) including convection-diffusion equations [18][19][20][21][22][23][24] . The kinetic basis of LBM makes it a powerful tool in the modeling of interfacial phenomena in the multiphase flow systems [25][26][27] .…”
Section: Introductionmentioning
confidence: 99%
“…Basically, fluid dynamics can involve the motion of distributions/populations of fabricated particles which can stream and colloid along a Cartesian lattice. LBM has been employed in a broad range of engineering applications including single-phase flow, multiphase flow, heat transfer due to phase-change, , turbulent regime in a variety of transport phenomena, and solving nonlinear partial differential equations (NPDEs) including convection–diffusion equations. The kinetic basis of LBM makes it a powerful tool in the modeling of interfacial phenomena in multiphase flow systems. Although the origin of LBM is molecular dynamic kinetic which is more fundamental compared to the continuum approaches, it is capable of recovering the traditional macroscopic scale continuity and Navier–Stokes (N–S) equations. In the absence of required meshes movement, it can be parallelized due to locality of most of the computations.…”
Section: Introductionmentioning
confidence: 99%