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首页> 外文期刊>Engineering Applications of Computational Fluid Mechanics >Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
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Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model

机译：用多重松弛时间格子Boltzmann模型进行Bingham塑性流的三维模拟

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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 which indicates that the MRT-LBM effectively simulates Bingham fluids but with better stability. A parallel MRT-LBM framework is introduced, and the parallel efficiency is tested through a simple case. The MRT-LBM is shown to be appropriate for parallel implementation and to have high efficiency. Finally, a Bingham fluid flowing past a square-b...
机译：本文介绍了Bingham塑料的三维（3D）平行多重松弛时间格子Boltzmann模型（MRT-LBM），该模型克服了Bhatnagar–Gross–Krook（BGK）模型在非牛顿流体模拟中的数值不稳定性。简要描述了MRT-LBM和几个相关的数学模型。结合了Papanastasiou的改进模型以提高数值稳定性。详细研究了模型松弛参数的影响。然后通过一个基准问题验证MRT-LBM：3D稳定Poiseuille流。数值模拟的结果与分析得出的结果一致，表明MRT-LBM有效地模拟了宾厄姆流体，但稳定性更高。介绍了并行MRT-LBM框架，并通过一个简单的案例测试了并行效率。已显示MRT-LBM适用于并行实施并具有很高的效率。最终，宾厄姆流体流过方形管...

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