格子Boltzmann方法
数学
格子(音乐)
节点(物理)
碰撞
边值问题
理论(学习稳定性)
正多边形
应用数学
玻尔兹曼常数
统计物理学
数学优化
数学分析
计算机科学
几何学
物理
机械
计算机安全
量子力学
机器学习
声学
热力学
作者
Weifeng Zhao,Wen‐An Yong
标识
DOI:10.1016/j.jcp.2016.10.049
摘要
In this work, we propose a family of single-node second-order boundary schemes for the lattice Boltzmann method with general collision terms. The construction of the schemes is quite universal and simple, it does not involve concrete lattice Boltzmann models and uses the half-way bounce-back rule as a central step. The constructed schemes are all second-order accurate if so is the bounce-back rule. In addition, the proposed schemes have good stability thanks to convex combinations. The accuracy and stability of several specific schemes are numerically validated for multiple-relaxation-time models in both 2D and 3D.
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