Evaluation of three lattice Boltzmann models for multiphase flows in porous media

Authors:
Haibo Huang;Lei Wang;Xi-yun Lu
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 7
Cited 2

Evaluation of two lattice Boltzmann models for multiphase flows

Journal of Computational Physics
A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability

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On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method

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A lattice Boltzmann method for incompressible two-phase flows with large density differences

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A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio

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A lattice Boltzmann model for multiphase flows with large density ratio

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Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers

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Lattice Boltzmann simulation of water and gas flow in porous gas diffusion layers in fuel cells reconstructed from micro-tomography

Computers & Mathematics with Applications

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Abstract

A free energy (FE) model, the Shan-Chen (S-C) model, and the Rothman and Keller (R-K) model are studied numerically to evaluate their performance in modeling two-dimensional (2D) immiscible two-phase flow in porous media on the pore scale. The FE model is proved to satisfy the Galilean invariance through a numerical test and the mass conservation of each component in the simulations is exact. Two-phase layered flow in a channel with different viscosity ratios was simulated. Comparing with analytical solutions, we see that the FE model and the R-K model can give very accurate results for flows with large viscosity ratios. In terms of accuracy and stability, the FE model and the R-K model are much better than the S-C model. Co-current and countercurrent two-phase flows in complex homogeneous media were simulated and the relative permeabilities were obtained. Again, it is found that the FE model is as good as the R-K model in terms of accuracy and efficiency. The FE model is shown to be a good tool for the study of two-phase flows with high viscosity ratios in porous media.