Dynamic behavior of droplet through a confining orifice:A lattice Boltzmann study

Yuan, Xiaolei; Chai, Zhenhua; Shi, Baochang

doi:10.1016/j.camwa.2018.12.044

Cited by 11 publications

(2 citation statements)

References 52 publications

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“…To simulate complex multiphase flows, researchers have proposed many numerical methods, including volume of fluid model, 5 level set method, 6 front tracking approach 7 and the diffuse interface theory 8 . Among them, the diffused interface method based on the phase field theory becomes more and more popular 9‐12 . This method does not need to track the specific interface place.…”

Section: Introductionmentioning

confidence: 99%

A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio

Yang

Chen

Жен

et al. 2021

Numerical Methods in Fluids

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Unlike the conventional multiphase lattice Boltzmann method (LBM), the recently developed finite volume‐based multiphase lattice Boltzmann flux solver (MLBFS) is free from the limitation of the uniform mesh, the coupled time step and mesh spacing, and the high virtual memories. In the MLBFS, the macroscopic equations recovered from the LBM are discretized by the finite volume method while the fluxes at the cell interfaces are evaluated based on the local application of LBM. The interfacial fluxes are calculated only by the distribution functions. However, the code implementation involving too many distribution functions is still not simple enough. And the computation of the distribution functions will still cost relatively large computational resources. We notice that some moments of the distribution functions can be directly simplified as the macroscopic variables. Therefore, to further simplify the code implementation and improve the computational efficiency of the MLBFS, we propose a simplified MLBFS which reconstructs the fluxes with the combination of the distribution functions and the macroscopic variables. Naturally, we can expect that the simplified method can improve the computational efficiency while maintaining the numerical accuracy and reliability of the original MLBFS. Numerical experiments of the Laplace law, the Rayleigh–Taylor instability, the bubble rising under buoyancy and the droplet splashing on a liquid film are conducted to evaluate the simplified MLBFS. Results show that our method can save up to 18.32% of the original computational time. The simplified method is superior to the original one especially for the cases with a large number of girds.

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Section: Introductionmentioning

confidence: 99%

A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio

Yang

Chen

Жен

et al. 2021

Numerical Methods in Fluids

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“…In the past decades, the lattice Boltzmann method (LBM), as a mesoscopic numerical approach, has achieved great success in the simulation of hydrodynamic problems [5,6,7,8,9,10,11]. On the other hand, the LBM has also been extended to solve the CDEs.…”

Section: Introductionmentioning

confidence: 99%

Discrete unified gas kinetic scheme for nonlinear convection-diffusion equations

et al. 2020

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In this paper, we develop a discrete unified gas kinetic scheme (DUGKS) for general nonlinear convection-diffusion equation (NCDE), and show that the NCDE can be recovered correctly from the present model through the Chapman-Enskog analysis. We then test the present DUGKS through some classic convectiondiffusion equations, and find that the numerical results are in good agreement with analytical solutions and the DUGKS model has a second-order convergence rate. Finally, as a finite-volume method, DUGKS can also adopt the nonuniform mesh. Besides, we performed some comparisons among the DUGKS, finite-volume lattice Boltzmann model (FV-LBM), single-relaxation-time lattice Boltzmann model (SLBM) and multiple-relaxation-time lattice Boltzmann model (MRT-LBM). The results show that the DUGKS model is more accurate than FV-LBM, more stable than SLBM, and almost has the same accuracy as the MRT-LBM. Besides, the using of non-uniform mesh may make DUGKS model more flexible.

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A Simplified Lattice Boltzmann Flux Solver of Multiphase Flows

Hou,

Chen,

Qin

et al. 2024

Engineering Applications of Computational Methods

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Dynamic behavior of droplet through a confining orifice:A lattice Boltzmann study

Cited by 11 publications

References 52 publications

A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio

A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio

Discrete unified gas kinetic scheme for nonlinear convection-diffusion equations

A Simplified Lattice Boltzmann Flux Solver of Multiphase Flows

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