Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
复制标题
轴对称格子玻尔兹曼方法的替代基于外推的对称边界实现
DOI：
10.1103/physreve.95.043312
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发表时间：
2017
影响因子：
2.4
通讯作者：
Chew Jia Wei
中科院分区：
文献类型：
--
作者：
Zhang Liangqi;Yang Shiliang;Zeng Zhong;Chen Jie;Wang Lingquan;Chew Jia Wei
在这项研究中，替代对称边界实现轴对称格子玻尔兹曼（LB）方法提出的非平衡外推和直接外推计划的基础上。所提出的边界格式直接在对称轴上实现，碰撞后分布函数和边界节点处的宏观变量由内流节点外推，从而完全避免了碰撞过程中对称轴处的奇异性和宏观变量的计算.本方案的精度与已建立的轴对称LB模型一致。此外，与以前的对称边界方案相比，目前的实现是稍微更准确的比Guoet等人的对称方案。[Phys.Rev.E79，046708（2009）10.1103/PhysRevE.79.046708]并且在数值上比基于镜面反射的方案更稳定。
In this study, alternative symmetry boundary implementations for the axisymmetric lattice Boltzmann (LB) method are proposed based on the nonequilibrium extrapolation and the direct extrapolation schemes. The proposed boundary schemes are directly implemented on the symmetry axis, and the postcollision distribution function and the macroscopic variables at the boundary nodes are extrapolated from the inner fluid nodes; thereby, the singularities arising at the symmetry axisduring the collision and the macroscopic variable calculations are completely avoided. The accuracy of the present schemes is consistent with the well-established axisymmetric LB model. Moreover, in comparison with previous symmetry boundary schemes, the present implementations are slightly more accurate than the symmetry scheme by Guoet al.[Phys. Rev. E 79, 046708 (2009)10.1103/PhysRevE.79.046708] and numerically more stable than the specular reflection-based schemes.