An alternative implementation of the kinetic theory based axisymmetric lattice Boltzmann model
An alternative implementation of the kinetic theory based axisymmetric lattice Boltzmann model
复制标题
基于运动理论的轴对称格子玻尔兹曼模型的另一种实现
DOI：
10.1016/j.camwa.2018.06.032
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发表时间：
2018-09
影响因子：
2.9
通讯作者：
Chew J.W.
中科院分区：
文献类型：
--
作者：
Zhang L.;Yang S.;Zeng Z.;Chew J.W.
半隐式中心格式作为基于梯形规则的格式的近似实现，在我们最近对轴对称LB方法的强制格式分析中已被证明能够避免离散点阵效应，并在此应用于Guo等人基于动力学理论的轴对称模型的替代实现。其中，考虑轴对称效应的外力项和源项的一阶部分采用半隐式中心格式离散化，其余部分采用梯形规则表示。由于分布函数的零阶矩和一阶矩与复杂的源项无关，所提出的轴对称LB格式具有宏观变量计算简单的优点。附录中的Chapman-Enskog分析表明，从所提出的模型中恢复轴对称Navier-Stokes （N-S）方程，并且由半隐式中心方案引起的误差项不影响模型的整体精度。通过所采用的数值试验验证了所提轴对称LB模型的准确性和适用性，避免了Guo等模型及其衍生模型中复杂的宏观变量计算。
The semi-implicit centered scheme, as an approximated implementation of the trapezium rule based scheme, has proved to be capable of avoiding the discrete lattice effects in our recent forcing scheme analysis for the axisymmetric LB method, and is applied here for an alternative implementation of the kinetic theory based axisymmetric model by Guo et al. In particular, the external force terms and the first-order part of the source terms accounting for the axisymmetric effect are discretized with the semi-implicit centered scheme, while the rest are represented with the trapezium rule. The proposed axisymmetric LB scheme has the advantage of simpler calculations of the macroscopic variables since the zeroth- and the first-order moments of the distribution function are independent of the complicated source terms. Chapman–Enskog analysis in the Appendix demonstrates that axisymmetric Navier–Stokes (N–S) equations are recovered from the proposed model, and the error terms caused by the semi-implicit centered scheme do not affect the overall accuracy of the present model. Moreover, the accuracy and applicability of the proposed axisymmetric LB model are verified by the adopted numerical tests, and the complicated macroscopic variables computations in the Guo et al. model and its derivative models are avoided by the present model.
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影响因子：
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作者：
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期刊：
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影响因子：
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