A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow

Yuan, Haizhuan; Niu, Xiaodong; Shu, Shi; Li, Mingjun; Yamaguchi, Hiroshi

doi:10.1016/j.camwa.2014.01.006

Cited by 89 publications

(29 citation statements)

References 55 publications

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“…In this study, the fluid-particle interaction force is also evaluated by the scheme of Niu et al [20] without introducing any artificial parameters. Unlike the aforementioned treatments in which the Lagrangian points were linked by stable solid bonds [25,1] or flexible filaments [22], the constraints between the Lagrangian points are thoroughly removed. By doing so, the free floating of the Lagrangian points is allowed and the driving force on them is simply based on the momentum exchange of the fluid particles.…”

Section: Introductionmentioning

confidence: 99%

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

et al. 2015

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It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in computer hardware and numerical algorithms, the coupling scheme also plays an important role on the computational efficiency. In this study, a Particulate Immersed Boundary Method (PIBM) for simulating the fluid-particle multiphase flow was presented and assessed in both two-and three-dimensional applications.The idea behind PIBM derives from the conventional momentum exchange- can capture the feature of particulate flows in fluid and is indeed a promising scheme for the solution of the fluid-particle interaction problems.

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Section: Introductionmentioning

confidence: 99%

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

et al. 2015

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“…The idea of momentum exchange is also extended to construct the immersed boundary scheme. A key formula is dimensionally inconsistent in the initial studies [17][18][19], and the correct form can be found in Ref. [20].…”

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confidence: 98%

Modified momentum exchange method for fluid-particle interactions in the lattice Boltzmann method

Shu

et al. 2015

Phys. Rev. E

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In this paper, a modified momentum exchange method for fluid-particle interactions is proposed based on the finite-volume lattice Boltzmann method. The idea of the improvement is to remove the restriction that the boundary points must be set as the midpoints of the grid lines or the intersection of the grid lines with the solid boundaries. The particle surface is represented by a set of arc (area) elements, and the interior fluid is used which the geometric conservation law is naturally satisfied. The interactions between fluid and arc (area) elements of particle boundary are considered using the momentum exchange method, and the mass of the fluid particles which collide with an arc (area) element is obtained by means of numerical integration in the control volume. The fluid field is corrected with the help of the smooth kernel function. Moreover, a generalized explicit time marching scheme is introduced to resolve the motion of particle in the problems with the ratio of particle density to fluid density is close to or less than 1. Finally, some numerical case studies of particle sedimentation are carried out to validate the present method. The corresponding results have a good agreement with the previous literature, which strongly demonstrates the capability of the improved method.

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“…It's a mesoscopic approach based on the kinetic theory and the integrodifferential Boltzmann equation [5]. Its main asset is its simple algebraic manipulation, its easy solution procedure and implementation of boundary conditions, together with its ability of dealing with complex fluids [6], phase change phenomenon [7] and nanofluids [8], etc. In order to benefit from some known LBM advantages and to correctly deal with variable thermal conductivity problems, some refinements has to be done.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

Hamila¹,

Chaabane²,

Askri³

et al. 2017

IJHT

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In this paper, we investigate the effect of variation in thermal conductivity on several transient heat transfer problems with the lattice Boltzmann method (LBM). First, benchmark problems involving radiation and/or conduction with constant thermal conductivity are simulated. Then we consider the case of variable thermal conductivity with temperature in solving 2D coupled conduction-radiation heat transfer problem and natural convection in differentially heated enclosure. Both the energy equation and the radiative transfer equation (RTE) were solved using exclusively the lattice Boltzmann method. Good agreement with available data in literature was obtained.

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A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow

Cited by 89 publications

References 55 publications

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

Modified momentum exchange method for fluid-particle interactions in the lattice Boltzmann method

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

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