| 刘演华,林建忠.格子Boltzmann方法中基于内插值的曲线边界处理新方法[J].计算力学学报,2009,26(4):510~517 |
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| 格子Boltzmann方法中基于内插值的曲线边界处理新方法 |
| A new approach for treating curved boundary in Lattice Boltzmann method based on interpolation |
| 投稿时间：2007-05-09 |
| DOI：10.7511/jslx20094011 |
| 中文关键词: 格子Boltzmann方法 边界条件 数值计算 内插值 |
| 英文关键词:Meshless method meshless local Petrov-Galerkin method shell weak form of equivalent integration for differential equation moving least square |
| 基金项目:国家自然科学基金重点(10632070)资助项目. |
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| 中文摘要: |
| 对格子Boltzmann方法提出了一种新的曲面边界条件处理方法。在笛卡尔坐标系中,这种处理方法是现有的格子Boltzmann方法有关边界条件处理与浸入式边界条件的混合,它采用内插值方法计算靠近物理边界的网格点速度,使其保证最低精度为二阶,然后利用格子Boltzmann方法中的边界条件技术得到相应的分布函数。由理论推导和数值计算表明,本文提出的方法比其他方法更稳定且具有二阶精度。 |
| 英文摘要: |
| A new curved boundary treatment is proposed for the Lattice Boltzmann method. With Cartesian coordinate, it is a combination of the exising treatment of boundary condition and immersed boundary condition. It adopts an interpolation to evaluate the node velocity near the physical wall, which provides at least secondary-order accuracy both in velocity and distribution fields. Once the node velocity is given, a variety of boundary treatment proposed previously can be applied to these nodes. Numerical test shows that it is more stable and has secondary-order accuracy. |
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