An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows
An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows
复制标题
基于二维和三维不可压缩流离散流函数公式的浸入边界方法
DOI：
10.1016/j.jcp.2011.01.045
复制
发表时间：
2011-05
影响因子：
4.1
通讯作者：
Wang, Shizhao
中科院分区：
文献类型：
--
作者：
Zhang, Xing;Wang, Shizhao
在不可压缩流的离散流函数公式框架中提出了浸入边界方法。为了施加非滑移边界条件，通过求解线性系统来隐式确定力项。线性系统的未知数与代表身体表面的拉格朗日点的未知数相同。因此，与基本流动求解器相比，力计算的额外成本可以忽略不计。为了处理中等雷诺数的三维流，使用域分解策略开发了基于本方法的并行流求解器。为了验证本文提出的浸入边界方法的准确性，模拟了不同复杂度的流动问题（衰减涡流、静止和振荡圆柱体和静止球体上的流动以及低纵横比平板上的流动），结果与先前发表的文献中的实验或计算数据非常吻合。
An immersed boundary method is proposed in the framework of discrete stream function formulation for incompressible flows. In order to impose the non-slip boundary condition, the forcing term is determined implicitly by solving a linear system. The number of unknowns of the linear system is the same as that of the Lagrangian points representing the body surface. Thus the extra cost in force calculation is negligible if compared with that in the basic flow solver. In order to handle three-dimensional flows at moderate Reynolds numbers, a parallelized flow solver based on the present method is developed using the domain decomposition strategy. To verify the accuracy of the immersed-boundary method proposed in this work, flow problems of different complexity (decaying vortices, flows over stationary and oscillating cylinders and a stationary sphere, and flow over low-aspect-ratio flat-plate) are simulated and the results are in good agreement with the experimental or computational data in previously published literatures.
登录
查看更多内容
影响因子：
4.1
作者：
GOLDSTEIN, D;HANDLER, R;SIROVICH, L
通讯作者：
SIROVICH, L
影响因子：
1.8
作者：
F. Denaro;F. Sarghini
通讯作者：
F. Denaro;F. Sarghini
影响因子：
2.8
作者：
Shen-Wei Su;M. Lai;Chao-An Lin
通讯作者：
Shen-Wei Su;M. Lai;Chao-An Lin
DOI：
10.1007/bf02942594
发表时间：
1998-11
期刊：
KSME International Journal
影响因子：
--
作者：
Jeongyoung Park;Kiyoung Kwon;Haecheon Choi
通讯作者：
Jeongyoung Park;Kiyoung Kwon;Haecheon Choi
离散δ函数的平滑技术及其在移动边界模拟中的浸入边界法的应用
影响因子：
4.1
作者：
Yang, Xiaolei;Zhang, Xing;He, Guo-Wei
通讯作者：
He, Guo-Wei