Lattice Boltzmann methods for complex micro-flows: applicability and limitations for practical applications

Suga, Kazuhiko

doi:10.1088/0169-5983/45/3/034501

Cited by 48 publications

(27 citation statements)

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“…The most common LBM is the single-relaxation-time approximation based model that is written in the BGK form [1] and called lattice BGK (LBGK) model. This model is simple enough and has been widely applied in many flow cases from micro (see [2,3] for reviews) to turbulent flows (e.g. [4][5][6][7][8][9][10]).…”

Section: Introductionmentioning

confidence: 99%

“…To overcome these difficulties, the multiple-relaxation-time (MRT) scheme proposed by d'Humiéres et al [11,12] is useful to stabilize the solution and to obtain satisfactory results (e.g. [3,13,9,14]) because the MRT model allows the usage of an independently optimized relaxation-time for each physical process as Lallemand and Luo [15] discussed.…”

Section: Introductionmentioning

confidence: 99%

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A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Suga¹,

Kuwata²,

Takashima³

et al. 2015

Computers & Mathematics with Applications

162

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a b s t r a c tA three-dimensional twenty-seven (D3Q27) discrete velocity multiple-relaxation-time lattice Boltzmann method is developed. The proposed scheme is validated in fully developed turbulent channel, pipe and porous medium flows through direct and large eddy simulations. The direct numerical simulation of the turbulent channel flow confirms that the present scheme is as reliable as the spectrum method for simulating turbulence. Through the large eddy simulations of the pipe and porous medium flows, the present scheme shows its satisfactory accuracy for simulating turbulent flows bounded by circular walls that is failed by the three-dimensional nineteen (D3Q19) model.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Suga¹,

Kuwata²,

Takashima³

et al. 2015

Computers & Mathematics with Applications

162

View full text Add to dashboard Cite

show abstract

“…On the other hand, for noncontinuum gas flows the follow ing general second-order slip velocity model is widely used [19,29]:…”

Section: Dbb Scheme For Curved Wallsmentioning

confidence: 99%

“…Up to now, works related to more com plicated flows involving curved boundaries are very rare [17][18][19][20], The key reason lies in the fact that it may not be so easy to construct an applicable boundary condition to treat the curved walls. The widely used hybrid schemes (DSR and SRB) seem to be qualified for straight walls.…”

Section: Introductionmentioning

confidence: 99%

“…However, the curvilinear coordinate system can only handle bodies with sim ple shapes, and greatly increases the difficulty o f program m ing. Suga et al [19] introduced an interpolation schem e into m icroscale flow sim ulating. Further validation o f this interpolation-type method is needed due to the fact that the com bination parameter in their scheme is still determined by the half-way bounce-back case.…”

Section: Introductionmentioning

confidence: 99%

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Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime

Tao

Guo

2015

Phys. Rev. E

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The lattice Boltzmann method (LBM) has been widely used to simulate microgaseous flows in recent years. However, it is still a challenging task for LBM to model that kind of microscale flow involving complex geometries, owing to the use of uniform Cartesian lattices in space. In this work, a boundary condition for microflows in the slip regime is developed for LBM in which the shape of a solid wall is well considered. The proposed treatment is a combination of the Maxwellian diffuse reflection scheme and the simple bounce-back method. A portion of each part is determined by the relative position between the boundary node and curved walls, which is the key point that distinguishes this method from some previous schemes where the smooth curved surface was assumed to be zigzag lines. The present curved boundary condition is implemented with the multiple-relaxation-times model and verified for several established cases, including the plane microchannel flow (aligned and inclined), microcylindrical Couette flow, and the flow over an inclined microscale airfoil. The numerical results agree well with those predicted by the direct simulation Monte Carlo method.

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Two relaxation time lattice Boltzmann equation for high Knudsen number flows using wall function approach

Norouzi

Esfahani

2014

Microfluid Nanofluid

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Lattice Boltzmann methods for complex micro-flows: applicability and limitations for practical applications

Cited by 48 publications

References 48 publications

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime

Two relaxation time lattice Boltzmann equation for high Knudsen number flows using wall function approach

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