2016
DOI: 10.1080/19942060.2016.1169946
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Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model

Abstract: This paper presents a three-dimensional (3D) parallel multiple-relaxation-time lattice Boltzmann model (MRT-LBM) for Bingham plastics which overcomes numerical instabilities in the simulation of non-Newtonian fluids for the Bhatnagar-Gross-Krook (BGK) model. The MRT-LBM and several related mathematical models are briefly described. Papanastasiou's modified model is incorporated for better numerical stability. The impact of the relaxation parameters of the model is studied in detail. The MRT-LBM is then validat… Show more

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Cited by 17 publications
(12 citation statements)
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“…No. Besides experimental studies, several numerical models have been developed to simulate the filling process of RFC, such as Distinct Element Method (DEM) 5 , Lattice Boltzmann Method (LBM) 6,7 , Smoothed Particle Hydrodynamics (SPH) method 8 and LBM-DEM hybrid model 9 . HSCC was modelled as a two-phase Bingham fluid in the last hybrid model, where coarse aggregates were simulated by DEM and motor was considered to be Bingham fluid modelled by LBM.…”
Section: Workability Of Hscc and Compactness Of Rfcmentioning
confidence: 99%
“…No. Besides experimental studies, several numerical models have been developed to simulate the filling process of RFC, such as Distinct Element Method (DEM) 5 , Lattice Boltzmann Method (LBM) 6,7 , Smoothed Particle Hydrodynamics (SPH) method 8 and LBM-DEM hybrid model 9 . HSCC was modelled as a two-phase Bingham fluid in the last hybrid model, where coarse aggregates were simulated by DEM and motor was considered to be Bingham fluid modelled by LBM.…”
Section: Workability Of Hscc and Compactness Of Rfcmentioning
confidence: 99%
“…More recently, Chai et al proposed the other formula to compute the strain rate tensor with non-equilibrium parts of density distribution functions (Chai formula) for simulation of non-Newtonian fluid flows by using MRT LB model with nine discrete velocities in two dimensions (D2Q9) [12]. After this work, Chai formula was widely used to compute the strain rate tensor in many studies on non-Newtonian fluid flows by MRT-LB model [27][28][29].…”
Section: Introductionmentioning
confidence: 99%
“…Since VOF simulation strongly depends on the grid resolution, a grid refinement should be prepared in the studied domains (i.e. The abrasive waterjet flow and waterjet grinding space), to improve its accuracy and decrease the computational effort (Chen, Zhang, & Feng, 2016). It is noteworthy to point out that the VOF method is an interface-resolving method and has become a popular methodology for solving two-phase flow phenomena.…”
Section: Cfd Simulations and Actual Awj Grindingmentioning
confidence: 99%