Volume 17, Issue 4
A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows

Liang Wang ,  Jianchun Mi ,  Xuhui Meng and Zhaoli Guo

10.4208/cicp.2014.m303

Commun. Comput. Phys., 17 (2015), pp. 908-924.

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  • Abstract

A mass-conserving lattice Boltzmann model based on the Bhatnagar-GrossKrook (BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution function includes the local shear rate related with the viscosity and a variable parameter changing with the shear rate. With the additional parameter, the relaxation time in the collision can be fixed invariable to the viscosity. Through the ChapmanEnskog analysis, the macroscopic equations can be recovered from the present massconserving model. Two flow problems are simulated to validate the present model with a local computing scheme for the shear rate, and good agreement with analytical solutions and/or other published results are obtained. The results also indicate that the present modified model is more applicable to practical non-Newtonian fluid flows owing to its better accuracy and more robustness than previous methods.

  • History

Published online: 2018-04

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