Alternative kinetic theory based lattice Boltzmann model for incompressible axisymmetric flows
Alternative kinetic theory based lattice Boltzmann model for incompressible axisymmetric flows
复制标题
基于替代动力学理论的不可压缩轴对称流动的格子玻尔兹曼模型
DOI：
10.1016/j.camwa.2016.09.028
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发表时间：
2016-12
影响因子：
2.9
通讯作者：
Jia Wei Chew
中科院分区：
文献类型：
--
作者：
Liangqi Zhang;Shiliang Yang;Zhong Zeng;Liping Yao;Jia Wei Chew
基于轴对称玻尔兹曼方程，在Guo等人（2009）基于动态论的模型框架内，提出了轴对称流动的不可压缩晶格玻尔兹曼模型。在保留Guo et al.（2009）模型物理基础扎实、源项简单不涉及梯度计算等优点的同时，进一步提高了数值稳定性，降低了可压缩性误差和计算需求。假设流体密度为常数，流体压力与密度无直接关系，应用埃尔米特膨胀实现了不可压缩条件。然后，该模型采用了一种新的计算流体压力的方法，该方法由修正的二阶矩方程推导而来。此外，在正则晶格BGK （RLBGK）模型的基础上，引入了一个附加的鬼模松弛参数，以提高模型的数值稳定性。Chapman-Enskog理论分析和数值验证验证了该模型的准确性和适用性。通过公认的测试案例证明，本模型对于不可压缩轴对称流动是准确可靠的，并且能够有效地降低可压缩性误差-à-vis （Guo et al., 2009）。
Based on the axisymmetric Boltzmann equation, an incompressible lattice Boltzmann model for axisymmetric flows is proposed within the framework of the kinetic theory based model developed by Guo et al. (2009). While retaining the advantages of the Guo et al. (2009) model in terms of the solid physics basis and simple source terms involving no gradient calculations, the present model further improves the numerical stability, and reduces compressibility errors and computational requirements. Armed with the assumption that the fluid density is a constant and thus the fluid pressure has no direct relation with the density, the incompressibility conditions are realized by applying the Hermite expansion. Then, the present model employs a novel way of calculating the fluid pressure which is derived from the modified second-order moment equation. Additionally, based on the regularized lattice BGK (RLBGK) model, an extra relaxation parameter pertaining to the ghost mode is introduced to enhance the numerical stability of the present model. The accuracy and applicability of the present model are verified by both the Chapman–Enskog theoretical analysis and numerical validations. It is demonstrated via well-acknowledged test cases that the present model is accurate and reliable for incompressible axisymmetric flows, and is able to effectively reduce the compressibility errors vis-à-vis the Guo et al. (2009).
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轴对称热流的格子玻尔兹曼方程
影响因子：
2.8
作者：
Zheng, Chuguang;Shi, Baochang;Zheng, Lin;Guo, Zhaoli
通讯作者：
Guo, Zhaoli
DOI：
10.1103/physreve.48.4823
发表时间：
1993-06
期刊：
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子：
--
作者：
P. Skordos
通讯作者：
P. Skordos
DOI：
10.1103/physreve.90.063311
发表时间：
2014-12
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
H. Liang;Z. Chai;B. Shi;Zhaoli Guo;T. Zhang
通讯作者：
H. Liang;Z. Chai;B. Shi;Zhaoli Guo;T. Zhang
影响因子：
1.8
作者：
Lee, TS;Huang, H;Shu, C
通讯作者：
Shu, C
影响因子：
4.6
作者：
Maier, RS;Bernard, RS;Grunau, DW
通讯作者：
Grunau, DW