publication . Article . 2016

Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model

Song-Gui Chen; Chuan-Hu Zhang; Yun-Tian Feng; Qi-Cheng Sun; Feng Jin;
Open Access
  • Published: 01 Jan 2016 Journal: Engineering Applications of Computational Fluid Mechanics, volume 10, pages 346-358 (issn: 1994-2060, eissn: 1997-003X, Copyright policy)
  • Publisher: Informa UK Limited
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 validated through a benchmark problem: a 3D steady Poiseuille flow. The results from the numerical simulations are consistent with those derived analytically whic...
Subjects
arXiv: Nonlinear Sciences::Cellular Automata and Lattice GasesPhysics::Fluid Dynamics
free text keywords: Modelling and Simulation, General Computer Science, Relaxation (NMR), Hagen–Poiseuille equation, Bingham plastic, Physics, Lattice boltzmann model, Numerical stability, Drag coefficient, Mathematical model, Statistical physics, multiple-relaxation-time, parallel frame, Engineering (General). Civil engineering (General), TA1-2040
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