Immersed Boundary-Finite Difference Lattice Boltzmann Method for Liquid-Solid Two-Phase Flows

Rojas, Roberto; Seta, Takeshi; Hayashi, Kosuke; Tomiyama, Akio

doi:10.1299/jfst.6.1051

Cited by 12 publications

(10 citation statements)

References 22 publications

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“…The interface thickness is given by W 0 = √ [53]. Table 2 shows a comparison of the drag coefficient C D and L (scaled by D/2) with other numerical predictions in the literature [54,55]. The results obtained with the present method agree well with the results obtained using an immersed boundary method.…”

Section: Flow Past a Stationary Circular Cylindersupporting

confidence: 68%

A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection

Rojas

Takaki

Ohno

2015

Journal of Computational Physics

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125

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Section: Flow Past a Stationary Circular Cylindersupporting

confidence: 68%

A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection

Rojas

Takaki

Ohno

2015

Journal of Computational Physics

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125

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“…Le and Zhang (2009) proved that the numerical error in the velocity (so called boundary slip) occurs at a large relaxation time by applying the direct forcing approach proposed by Dupuis et al (2008) to mathematical analyses and numerical simulations of planar and cylindrical Couette flows. Rojas et al (2011) proposed an immersed boundary-finite difference lattice Boltzmann method and validated through many benchmark problems, i.e., flows past a circular cylinder, a falling particle, interaction between two falling particles, and Couette flows between a stationary cylinder and a rotating one. Suzuki and Inamuro (2011) proposed the LBM combined with the multi direct forcing method proposed by Wang et al (2008) (hereafter called multi direct forcing-lattice Boltzmann method, MDF-LBM) which can reduce the error from the no-slip boundary condition by calculating the body force iteratively, and the method was validated by comparing their results with numerical results of flows around an oscillating circular cylinder by Dütsch et al (1998), with numerical results of the sedimentation of an elliptical cylinder by Xia et al (2009), and with experimental results of the sedimentation of a sphere by ten Cate et al (2002).…”

Section: Introductionmentioning

confidence: 99%

Accuracy of the laminar boundary layer on a flat plate in an immersed boundary-lattice Boltzmann simulation

Suzuki

Okada

Yoshino

2016

JFST

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We investigate the accuracy of the laminar boundary layer on a flat plate in the simulation by an immersed boundary-lattice Boltzmann method (IB-LBM). In this study, we use the single relaxation time-lattice Boltzmann method combined with the multi direct forcing method, which can enforce the no-slip boundary condition accurately by determining the body force iteratively. The simulations of the laminar boundary layer on a flat plate at the Reynolds number of 1000 are performed by using the IB-LBM, and it is found that in order to obtain a reasonably accurate result such that the error from the solution of the boundary layer equations is within 5%, the boundary layer has to be resolved by about 50 lattice spacings. In addition, it is found that the IB-LBM has the same accuracy whether the flat plate is coincident with the lattice or not. In order to improve the accuracy of the boundary layer calculated by the IB-LBM, we discuss the effective thickness of the boundary caused by the body force distributed near the boundary. Also, we find that the accuracy is much improved by using a finer lattice only around the flat plate.

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“…The authors however confirmed that non-physical distortion in fluid velocity appears when the Reynolds number is low, i.e. when the relaxation time is high (16) . This numerical error also takes place in IB-LBM as pointed out by Le & Zhang (18) .…”

Section: Introductionmentioning

confidence: 87%

“…where N m is the number of Lagrangian points and S the area segment of a solid body (16) . The direct forcing term is given by…”

Section: Journal Of Fluid Science and Technologymentioning

confidence: 99%

“…Tsutahara et al (14) implemented an additional collision term, which works as a negative viscosity in the macroscopic level, into a finite difference lattice Boltzmann method (FDLBM) (15) for single-phase flows and demonstrated that their FDLBM can stably simulate high Reynolds number flows even at low spatial resolution. The authors (16) combined FDLBM and an immersed boundary method (17) (IB-FDLBM) to simulate liquid-solid two-phase flows including moving particles at high Reynolds numbers. It has been demonstrated that IB-FDLBM can stably and accurately simulate high Reynolds number flows about both stationary and moving cylinders (13) .…”

Section: Introductionmentioning

confidence: 99%

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Immersed Boundary-Finite Difference Lattice Boltzmann Method Using Two Relaxation Times

Rojas

Seta

Hayashi

et al. 2013

JFST

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Immersed boundary-lattice Boltzmann methods (IB-LBM) with the single-relaxation time (SRT) cause non-physical distortion in fluid velocity when the Reynolds number is low, i.e. the relaxation time  is high, and IB-LBM requires high spatial resolution to stably simulate high Reynolds number flows. An immersed boundary-finite difference lattice Boltzmann method (IB-FDLBM) using two-relaxation times (TRT) is therefore proposed in this study to simulate low and high Reynolds number flows stably and accurately. Benchmark problems such as circular Couette flows, flows past a circular cylinder and a sphere at various Reynolds numbers are carried out for validation. The main conclusions obtained are as follows: (1) TRT reduces numerical errors causing non-physical distortion in the fluid velocity at low Reynolds numbers, and accurate predictions are obtained when the parameter , which is a function of the two relaxation times, is low, (2) for stable simulation the parameter  should be decreased as the Reynolds number increases, (3) implementation of TRT and the implicit direct forcing method into IB-FDLBM can solve two problems in simulation of low Reynolds number flows, i.e. non-physical velocity distortion and non-physical penetration of flow into the solid body, and (4) IB-FDLBM with TRT gives good predictions of the drag coefficients of a circular cylinder and a sphere in uniform flows for a wide range of the Reynolds number, Re, i.e., 0.1 < Re < 1x10 4 .

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Immersed Boundary-Finite Difference Lattice Boltzmann Method for Liquid-Solid Two-Phase Flows

Cited by 12 publications

References 22 publications

A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection

A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection

Accuracy of the laminar boundary layer on a flat plate in an immersed boundary-lattice Boltzmann simulation

Immersed Boundary-Finite Difference Lattice Boltzmann Method Using Two Relaxation Times

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