An alternative lattice Boltzmann model for three-dimensional incompressible flow

Zhang, Liangqi; Zeng, Zhong; Xie, Huimin; Tao, Xiaofeng; Zhang, Yongxiang; Lu, Yiyu; Yoshikawa, Akira; Kawazoe, Yoshiyuki

doi:10.1016/j.camwa.2014.08.009

Cited by 2 publications

(1 citation statement)

References 37 publications

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“…In order to reduce the compressibility errors and derive the standard incompressible axisymmetric NS equations (1), the incompressibility conditions are incorporated into the two models reviewed above. More explicitly, the incompressible LB model proposed in our recent work [41,42] is extended to the application of the axisymmetric flows based on the framework provided by Li et al [7] and Zhou [9].…”

Section: Consistent Lb Methods For Incompressible Axisymmetric Flowsmentioning

confidence: 99%

Consistent lattice Boltzmann methods for incompressible axisymmetric flows

et al. 2016

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In this work, consistent lattice Boltzmann (LB) methods for incompressible axisymmetric flows are developed based on two efficient axisymmetric LB models available in the literature. In accord with their respective original models, the proposed axisymmetric models evolve within the framework of the standard LB method and the source terms contain no gradient calculations. Moreover, the incompressibility conditions are realized with the Hermite expansion, thus the compressibility errors arising in the existing models are expected to be reduced by the proposed incompressible models. In addition, an extra relaxation parameter is added to the Bhatnagar-Gross-Krook collision operator to suppress the effect of the ghost variable and thus the numerical stability of the present models is significantly improved. Theoretical analyses, based on the Chapman-Enskog expansion and the equivalent moment system, are performed to derive the macroscopic equations from the LB models and the resulting truncation terms (i.e., the compressibility errors) are investigated. In addition, numerical validations are carried out based on four well-acknowledged benchmark tests and the accuracy and applicability of the proposed incompressible axisymmetric LB models are verified.

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Section: Consistent Lb Methods For Incompressible Axisymmetric Flowsmentioning

confidence: 99%

Consistent lattice Boltzmann methods for incompressible axisymmetric flows

et al. 2016

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Improved simplified and highly stable lattice Boltzmann methods for incompressible flows

Gao

Yang

et al. 2021

Int. J. Mod. Phys. C

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In this work, improved simplified and highly stable lattice Boltzmann methods (SHSLBMs) are developed for incompressible flows. The SHSLBM is a newly developed scheme within the lattice Boltzmann method (LBM) framework, which utilizes the fractional step technology to resolve the governing equations recovered from lattice Boltzmann equation (LBE) and reconstructs the equations in the Lattice Boltzmann frame. By this treatment, the SHSLBM directly tracks the macroscopic variables in the evolution process rather than the distribution functions of each grid node, which greatly saves virtual memories and simplifies the implementation of physical boundary conditions. However, the Chapman–Enskog expansion analysis reveals that the SHSLBM recover the weakly compressible Navier–Stokes equations with the low Mach number assumption. Therefore, the original SHSLBM can be regarded as an artificial compressible method and may cause some undesired errors. By modifying the evolution equation for the density distribution function, the improved SHSLBMs can eliminate the compressible effects. The incompressible SHSLBMs are compared with the original SHSLBM in terms of accuracy and stability by simulating several two-dimensional steady and unsteady incompressible flow problems, and the results demonstrate that the present SHSLBMs ensure the second order of accuracy and can reduce the compressible effects efficiently, especially for the incompressible flows with large pressure gradients. We then extended the present SHSLBMs to study the more complicated two-dimensional lid-driven flow and found that the present results are in good agreement with available benchmark results.

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An alternative lattice Boltzmann model for three-dimensional incompressible flow

Cited by 2 publications

References 37 publications

Consistent lattice Boltzmann methods for incompressible axisymmetric flows

Consistent lattice Boltzmann methods for incompressible axisymmetric flows

Improved simplified and highly stable lattice Boltzmann methods for incompressible flows

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