Anomaly of the lattice Boltzmann methods in three-dimensional cylindrical flows
Anomaly of the lattice Boltzmann methods in three-dimensional cylindrical flows
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DOI：
10.1016/j.jcp.2014.10.002
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发表时间：
2015-01-01
影响因子：
4.1
通讯作者：
Suga, K.
中科院分区：
文献类型：
--
作者：
Kuwata, Y.;Suga, K.
本文分析了D3Q15、D3Q19和D3Q27三种模式下格子Boltzmann方程（LBE）的截断误差项。通过应用Holdych等人（2004）[9]的分析，在圆柱坐标系中检查雷诺平均误差项的旋转不变性。结果表明，D3Q15和D3Q19模型的误差项沿周向呈周期性分布，并在特定方向产生虚假力。当流动变成湍流时，这种趋势被雷诺应力加强，导致产生明显的假流。通过D3Q27模型，证实了层流中LBE保持旋转不变性，而湍流中出现非轴对称误差项。然而，误差项的幅度小于D3Q15和D3Q19模型的2%，因此非物理寄生电流足够弱。(C)2014 Elsevier Inc. All rights reserved.
Truncation error terms of the lattice Boltzmann equation (LBE) are analysed for three-dimensional flow simulations by the D3Q15, D3Q19 and D3Q27 models. By applying the analysis of Holdych et al. (2004) [9], rotational invariance of the Reynolds averaged error terms is examined in cylindrical coordinates. It is found that error terms distribute cyclically in the circumferential direction and produce false forces in particular directions by the D3Q15 and D3Q19 models. When flow becomes turbulent, this tendency is reinforced by the Reynolds stress resulting in the generation of obvious spurious currents. By the D3Q27 model, it is confirmed that the LBE keeps rotational invariance in laminar flows whilst non-axisymmetric error terms arise in turbulent flows. However, the magnitudes of the error terms are less than two percent of those by the D3Q15 and D3Q19 models and hence unphysical spurious currents are sufficiently weak. (C) 2014 Elsevier Inc. All rights reserved.