Realization of Fluid Boundary Conditions via Discrete Boltzmann Dynamics

Chen, Hudong; Teixeira, Chris; Molvig, Kim

doi:10.1142/s0129183198001151

Cited by 308 publications

(127 citation statements)

References 8 publications

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“…Some of these more sophisticated solid-fluid boundaries are restricted to regular geometries [28,29], but there are also general boundary-fitted models [30,31] available. For practical simulations the bounce-back boundary is however very attractive, because it is a simple and computationally efficient method for imposing no-flow conditions on irregularly shaped walls.…”

Section: Boundary Conditionsmentioning

confidence: 99%

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

et al. 2002

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Numerical micropermeametry is performed on three dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5 µm. One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth sample is a physical model which mimics the processes of sedimentation, compaction and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples. The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude. This finding confirms earlier qualitative predictions based on local porosity theory. Two numerical algorithms were used in these simulations.One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.

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Section: Boundary Conditionsmentioning

confidence: 99%

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

et al. 2002

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“…Finally, the outgoing distributions are propagated back from the surface element to fluid cells according to the same surface advection process as in Chen et al [15]. It is not difficult to show that the above surface scalar collision achieves exact zero surface scalar flux.…”

Section: (C) Boundary Conditionmentioning

confidence: 99%

A lattice Boltzmann approach for solving scalar transport equations

Zhang¹,

Fan²,

Chen³

2011

Phil. Trans. R. Soc. A.

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A lattice Boltzmann (LB) approach is presented for solving scalar transport equations. In addition to the standard LB for fluid flow, a second set of distribution functions is introduced for transport scalars. This LB approach fully recovers the macroscopic scalar transport equation satisfying an exact conservation law. It is numerically stable and scalar diffusivity does not have a Courant-Friedrichs-Lewy-like stability upper limit. With a sufficient lattice isotropy, numerical solutions are independent of grid orientations. A generalized boundary condition for scalars on arbitrary geometry is also realized by a precise control of surface scalar flux. Numerical results of various benchmarks are presented to demonstrate the accuracy, efficiency and robustness of the approach.

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“…First, a general technique for achieving boundary conditions on a generally oriented surface using a previously developed flux-based method [8] in conjunction with a discrete velocity system was implemented. Secondly, techniques for achieving diffuse and specular reflection, the two components of Maxwell's model of gas-surface interaction [10], were developed within this framework.…”

Section: Gas-surface Interactions Modelsmentioning

confidence: 99%

“…Theoretical and implementation details of the flux-based boundary condition method may be found in [8]. Briefly, a general surface overlaying the underlying regular lattice is discretized into a series of point-wise continuous linear elements and at each surface element fluxes of particles are collected from all discrete directions and volumes that reach that element in a single time-step.…”

Section: Gas-surface Interactions Modelsmentioning

confidence: 99%

“…We have also extended the gas-surface interaction model to include Maxwell's scattering kernel to allow for a combination of specular and diffuse reflection via an accommodation coefficient [7]. This scattering kernel was achieved through the use of flux-based boundary conditions [8] that allow for a surface generally oriented with respect to the underlying regular Cartesian grid.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of Plane Poiseuille Flow of a Rarefied Gas with an Extended Lattice Boltzmann Method

Teixeira¹

2005

AIP Conference Proceedings

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Abstract. Several algorithmic extensions to the Lattice Boltzmann method (LBM) that permits its application to rarefied gas flows are presented. The accuracy of the new method is first demonstrated by validating the desired power-law viscosity-temperature relationship over the range of power-law exponents typically found in single component fluids. Next, the plane Poiseuille flow scenario is simulated for a series of Knudsen numbers, Kn, ranging from the continuum to the transition regimes, using a single computational framework. The reduced flow rate with the new approach is found to agree well with previously reported results for Kn < 1.

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Realization of Fluid Boundary Conditions via Discrete Boltzmann Dynamics

Cited by 308 publications

References 8 publications

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

A lattice Boltzmann approach for solving scalar transport equations

Simulation of Plane Poiseuille Flow of a Rarefied Gas with an Extended Lattice Boltzmann Method

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