Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology

Physical Review. E
Yan BaGuoqiang He

Abstract

In this work, a regularized lattice Boltzmann color-gradient model is developed for the simulation of immiscible two-phase flows with power-law rheology. This model is as simple as the Bhatnagar-Gross-Krook (BGK) color-gradient model except that an additional regularization step is introduced prior to the collision step. In the regularization step, the pseudo-inverse method is adopted as an alternative solution for the nonequilibrium part of the total distribution function, and it can be easily extended to other discrete velocity models no matter whether a forcing term is considered or not. The obtained expressions for the nonequilibrium part are merely related to macroscopic variables and velocity gradients that can be evaluated locally. Several numerical examples, including the single-phase and two-phase layered power-law fluid flows between two parallel plates, and the droplet deformation and breakup in a simple shear flow, are conducted to test the capability and accuracy of the proposed color-gradient model. Results show that the present model is more stable and accurate than the BGK color-gradient model for power-law fluids with a wide range of power-law indices. Compared to its multiple-relaxation-time counterpart, the p...Continue Reading

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Citations

Jul 25, 2019·Physical Review. E·S A HosseiniD Thévenin
Oct 24, 2019·Physical Review. E·Somnath SantraSuman Chakraborty
Dec 18, 2020·Physical Review. E·Gauthier WissocqJean-François Boussuge

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