Strathprints Institutional Repository Gauss-hermite Quadratures and Accuracy of Lattice Boltzmann Models for Non-equilibrium Gas Flows
Strathprints Institutional Repository Gauss-hermite Quadratures and Accuracy of Lattice Boltzmann Models for Non-equilibrium Gas Flows
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通讯作者：
Jianping Meng;Yonghao Zhang;Jianping Meng
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作者：
Jianping Meng;Yonghao Zhang;Jianping Meng
(2011) 非平衡气流的高斯-埃尔米特求积和晶格玻尔兹曼模型的精度。 Strathprints 旨在允许用户访问斯特拉斯克莱德大学的研究成果。除非稿件中另有明确说明，本网站论文的版权 © 和精神权利均由个人作者和/或其他版权所有者保留。请检查手稿以了解可能已应用的任何其他许可证的详细信息。您不得出于任何营利活动或任何商业利益而进一步分发该材料。您可以自由分发 URL (http://strathprints.strath.ac.uk/) 和本文内容用于研究或私人学习、教育或非营利目的，无需事先许可或收费。最近，基于动力学理论的格子玻尔兹曼（LB）模型已被开发用于模拟非平衡气流。根据求积的阶数，可以构建 LB 模型的层次结构，我们之前已经证明该模型能够捕获驻横波问题中的稀疏效应。在这里，我们进一步研究了高阶 LB 模型在考虑气体/表面相互作用及其对整体流动的影响的非平衡流动建模中的能力。 LB模拟中使用了麦克斯韦气体/表面相互作用模型，该模型已常用于其他动力学方法，包括蒙特卡罗方法的直接模拟。一般来说，具有高阶Gauss-Hermite求积的LB模型可以捕获Knudsen层中的流动特征，并且更高阶的求积可以提供更准确的预测。然而，对于高斯-埃尔米特求积，目前的仿真结果表明，使用偶数阶埃尔米特多项式求积的 LB 模型的性能明显优于奇数阶多项式求积的 LB 模型。这可能归因于奇数阶离散集中的零速度分量，其不参与壁/气体碰撞，因此低估了壁效应。
(2011) Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows. Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (http://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge. Recently, the kinetic theory based lattice Boltzmann (LB) models have been developed to model non-equilibrium gas flows. Depending on the order of quadratures, a hierarchy of LB models can be constructed which we have previously shown to be able to capture rarefaction effects in the standing shear wave problems. Here, we further examine the capability of high-order LB models in modeling non-equilibrium flows considering gas/surface interactions and their effect on the bulk flow. The Maxwellian gas/surface interaction model, which has been commonly used in other kinetic methods including direct simulation of Monte Carlo method, is used in the LB simulations. In general, the LB models with high-order Gauss-Hermite quadratures can capture flow characteristics in the Knudsen layer and higher-order quadratures give more accurate prediction. However, for the Gauss-Hermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the even-order Hermite polynomials perform significantly better than those from the odd-order polynomials. This may be attributed to the zero-velocity component in the odd-order discrete set, which does not participate wall/gas collisions, and thus underestimate wall effect.