| 格子Boltzmann方法中基于内插值的曲线边界处理新方法 |
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| 引用本文： | 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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| 作者姓名： | 刘演华 林建忠 |
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| 作者单位： | 浙江大学力学系流体工程研究所,杭州,310027 |
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| 基金项目： | 国家自然科学基金重点(10632070)资助项目 |
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| 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。
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| 关 键 词： | 格子Boltzmann方法 边界条件 数值计算 内插值 |
| 收稿时间： | 5/9/2007 12:00:00 AM |
A new approach for treating curved boundary in Lattice Boltzmann method based on interpolation |
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| LIU Yan-hua and LIN Jian-zhong.A new approach for treating curved boundary in Lattice Boltzmann method based on interpolation[J].Chinese Journal of Computational Mechanics,2009,26(4):510-517. |
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| Authors: | LIU Yan-hua and LIN Jian-zhong |
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| Institution: | Institute of Fluid Engineering;Department of Mechanics;Zhejiang University;Hangzhou 310027;China |
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| Abstract: | 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 ... |
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| Keywords: | Lattice Boltzmann method boundary condition numerical computation interpolation |
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