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

Hu, Yang; Li, Decai; Shu, Shi; Niu, Xiaodong

doi:10.1103/physreve.91.033301

Cited by 45 publications

(19 citation statements)

References 43 publications

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“…Figure 12 shows the temporal evolution of the vertical position and velocity of the center of cylinder. As shown, the results are in quantitative agreement with the previous studies (Glowinski et al, 2001;Hu et al, 2015;Koblitz et al, 2017;Wang et al, 2009). The computed terminal Reynolds number is Re…”

Section: Single Cylinder Falling In a Channel Under The Gravity Forcesupporting

confidence: 90%

Extension of the unified interpolation stencil for immersed boundary method for moving boundary problems

Kor

Ghomizad

Fukagata

2018

JFST

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As an extension of the immersed boundary method with unified interpolation stencil (Kor, Badri Ghomizad, and Fukagata, J. Fluid Sci. Technol., Vol. 12, 2017, JFST0011), we propose an immersed boundary method that can handle moving boundary problems with a lower level of spurious force oscillation. The key modification to the previously proposed method, which was validated for fixed boundary problems, is to adopt the reconstruction method, in which the velocities outside the body are reconstructed, instead of the ghost-cell method, in which the velocities inside the body are set to satisfy the boundary conditions. From the comparison between the ghost-cell and reconstruction methods, both methods work equally well for a fixed boundary problem, but the reconstruction method is found to be effective in suppressing the spurious force oscillations that appear in moving boundary problems. The capability of the proposed method is demonstrated by numerical investigations of some typical problems. Both predefined motions, such an oscillating cylinder and a hovering flat plate, and interacting motions of rigid bodies are simulated to validate the method. For the latter, sedimentation of a single cylinder as well as a group of interacting cylinders under the gravitational force is examined to demonstrate the capability of the present method for fluid-structure interaction problems. The results show that the proposed method can properly handle the moving boundary problems, while preserving the simplicity of the unified interpolation stencil.

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Section: Single Cylinder Falling In a Channel Under The Gravity Forcesupporting

confidence: 90%

Extension of the unified interpolation stencil for immersed boundary method for moving boundary problems

Kor

Ghomizad

Fukagata

2018

JFST

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“…This test simulates the fall of a rigid circular disk in a bounded domain and its impact with the bottom boundary. This test has been performed by other researchers using DLM/FDM [26], an FEM fictitious boundary method [72], and an immersed boundary lattice Boltzmann method [36]. (9), where the characteristic velocity scale U s is an estimated terminal velocity,…”

Section: Settling Disk Impacting a Wallmentioning

confidence: 99%

Direct numerical simulation of particulate flows with an overset grid method

Koblitz

Lovett

Nikiforakis

et al. 2017

Journal of Computational Physics

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We evaluate an efficient overset grid method for two-dimensional and three-dimensional particulate flows for small numbers of particles at finite Reynolds number. The rigid particles are discretised using moving overset grids overlaid on a Cartesian background grid. This allows for stronglyenforced boundary conditions and local grid refinement at particle surfaces, thereby accurately capturing the viscous boundary layer at modest computational cost. The incompressible Navier-Stokes equations are solved with a fractional-step scheme which is second-order-accurate in space and time, while the fluid-solid coupling is achieved with a partitioned approach including multiple sub-iterations to increase stability for light, rigid bodies. Through a series of benchmark studies we demonstrate the accuracy and efficiency of this approach compared to other boundary conformal and static grid methods in the literature. In particular, we find that fully resolving boundary layers at particle surfaces is crucial to obtain accurate solutions to many common test cases. With our approach we are able to compute accurate solutions using as little as one third the number of grid points as uniform grid computations in the literature. A detailed convergence study shows a 13-fold decrease in CPU time over a uniform grid test case whilst maintaining comparable solution accuracy.

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“…This standard test case considered is two-dimensional, and has been used in many previous studies. In the present study, the parameters are chosen the same as those in [12,46,47]. The size of the channel is 2 cm × 8cm with D = 0.2 cm being the particle diameter, and the kinematic viscosity of fluid is ν = The initial positions of the two particles are (0.999 cm, 7.2 cm) and (1.0 cm, 6.8 cm), respectively.…”

Section: Dkt Of Two Particles In Channelmentioning

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

Cited by 45 publications

References 43 publications

Extension of the unified interpolation stencil for immersed boundary method for moving boundary problems

Extension of the unified interpolation stencil for immersed boundary method for moving boundary problems

Direct numerical simulation of particulate flows with an overset grid method

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

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