Effect of internal mass in the lattice Boltzmann simulation of moving solid bodies by the smoothed-profile method

Mino, Yasushi; Shinto, Hiroyuki; Sakai, S.; Matsuyama, Hideto

doi:10.1103/physreve.95.043309

Cited by 24 publications

(17 citation statements)

References 24 publications

(55 reference statements)

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“…The results are consistent with those shown in Fig. 17, and good agreement can be found by the simulations of the present IB-DUGKS and iSP-LBM from Yasushi et al [51]. The simulation of a group of circular particles settling in an enclosure is further conducted.…”

Section: A Group Of Particles Settling In An Enclosuresupporting

confidence: 90%

“…In IBM, the hydrodynamic force coming from the fluid can be simply obtained as a counter-acting force. However, it is found in the previous studies [35,51] that such method only holds for the inertial motion of a body. For the case where the object is accelerated, terms that account for the effect of inertial mass should be added into the force and torque calculation as…”

Section: Particle Dynamicsmentioning

confidence: 99%

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A combined immersed boundary and discrete unified gas kinetic scheme for particle–fluid flows

Tao

Zhang

Guo

et al. 2018

Journal of Computational Physics

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A discrete unified gas kinetic scheme (DUGKS) coupled with the immersed boundary (IB) method is developed to perform interface-resolved simulation of particle-laden flows. The present method (IB-DUGKS) preserves the respective advantages of the IB and DUGKS, i.e., the flexibility and efficiency for treating complex flows, and the robustness and low numerical-dissipation. In IB-DUGKS, the IB method is used to treat the fluid-solid interfaces and the DUGKS is applied to simulate the fluid flow, making use of the Lagrangian and Eulerian meshes, respectively. Those two meshes are fully independent, which contributes to the avoidance of grid regeneration when a solid particle moves.Specifically, in the present implementation of IB-DUGKS, the no-slip boundary condition at the particle surface is accurately enforced by introducing an efficient iterative forcing algorithm, and the IB force induced by the particle boundary is conveniently incorporated into the DUGKS with the Strange-Splitting scheme. The accuracy of the IB-DUGKS is first verified in the flows past a stationary cylinder and an oscillating cylinder in a quiescent fluid. After that, several well-established two-and three-dimensional particulate flow problems are simulated, including the sedimentation of a particle and the DKT dynamics of two particles in a channel, and a group of particles settling in an enclosure.In all test cases, the results are in good agreement with the data available in the literature, demonstrating that the proposed IB-DUGKS is a promising tool for simulating particulate flows.

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Section: A Group Of Particles Settling In An Enclosuresupporting

confidence: 90%

Section: Particle Dynamicsmentioning

confidence: 99%

A combined immersed boundary and discrete unified gas kinetic scheme for particle–fluid flows

Tao

Zhang

Guo

et al. 2018

Journal of Computational Physics

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“…In the iSP method [24], the effect of particle gravity (F G k ) on the motion of the isodensity fluid flow is implicitly considered in Eq. (2) via the term φ f p , which is given by Eq.…”

Section: Numerical Modelingmentioning

confidence: 99%

“…We recently reported a solid-fluid simulation method based on the smoothed profile (SP) method for the LBM solver [23], which is referred to as the improved SP-LBM (iSP-LBM) [24]. The iSP-LBM improved the accuracy and stability of the original SP-LBM by implementing an exact formulation for the hydrodynamic forces on a moving solid particle with consideration for the effects of internal fluid mass.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann method for simulation of wettable particles at a fluid-fluid interface under gravity

Mino

Shinto

2020

Phys. Rev. E

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A computational technique was developed to simulate wettable particles trapped at a fluid-fluid interface under gravity. The proposed technique combines the improved smoothed profile-lattice Boltzmann method (iSP-LBM) for the treatment of moving solid-fluid boundaries and the free-energy LBM for the description of isodensity immiscible two-phase flows. We considered five benchmark problems in two-dimensional systems, including a stationary drop, a wettable particle trapped at a fluid-fluid interface in the absence or presence of gravity, two freely moving particles at a fluid-fluid interface in the presence of gravity (i.e., capillary floatation forces), and two vertically constrained particles at a fluid-fluid interface (i.e., capillary immersion forces). The simulation results agreed well with theoretical estimations, demonstrating the efficacy of the proposed technique. A. Improved smoothed profile (iSP) methodThe SP method [29,30] assumes that the internal and interface domains of solid particles are filled with an artificial fluid with the same physical properties (i.e., density and viscosity)

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“…Recently, Mino et al have computed the effect of the internal mass on the particle motion in SPM. Their results have indicated that

F_{i}^{H}

and

T_{i}^{H}

introduced in Equations and are not exactly the actual hydrodynamic force and the torque exerted on the i th particle.…”

Section: Numerical Implementationmentioning

confidence: 99%

Integrating thermal‐concentration smoothed profile with lattice Boltzmann methods for simulating sedimentation of nonisothermal circular particles

Safa

Goharrizi

Javaran

et al. 2019

Numerical Methods in Fluids

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Summary A thermal‐concentration smoothed profile‐lattice Boltzmann method is proposed to study the effect of the concentration field on the dynamic behavior of nonisothermal cylindrical particles during the sedimentation process. The velocity, temperature, and concentration equations are solved using the lattice Boltzmann method. Moreover, the smoothed profile method is employed to enforce the nonslip boundary condition as well as constant temperature and constant concentration boundary conditions at the particles surfaces. Moreover, the Boussinesq approximation is used to couple the velocities, temperatures, and concentrations fields. The proposed combined method is validated by comparing the present numerical results with those found in the literature, showing good consistency. Then, the effect of the concentration buoyancy on the behavior of nonisothermal particles is discussed. In addition, the effect of Prandtl, Schmidt, and thermal Grashof numbers on the settling process is investigated. The results show that, by adding the effect of concentration, the maximum settling velocity of hot particles is reduced more relative to the cold ones; accordingly, the cold particles are settled faster than the hot ones. Finally, the sedimentation of two particles in a container at high thermal Grashof is investigated. It is shown that, at high thermal Grashof, there is an intense competition between the buoyancy force and gravity for the hot particles. The buoyancy flow generated leads to the reversal of the drafting‐kissing‐tumbling motion of the hot particles, making the particles move upward.

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Effect of internal mass in the lattice Boltzmann simulation of moving solid bodies by the smoothed-profile method

Cited by 24 publications

References 24 publications

A combined immersed boundary and discrete unified gas kinetic scheme for particle–fluid flows

A combined immersed boundary and discrete unified gas kinetic scheme for particle–fluid flows

Lattice Boltzmann method for simulation of wettable particles at a fluid-fluid interface under gravity

Integrating thermal‐concentration smoothed profile with lattice Boltzmann methods for simulating sedimentation of nonisothermal circular particles

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