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动边界问题无网格算法及其动态点云
Gridless Method for Solving Moving Boundary Problems and Its Dynamic Cloud of Points
【摘要】 提出基于Delaunay图映射的点云运动处理技术。该技术使点云随物体运动再生成问题变成简单的映射关系,无需迭代,且能保持点云结构不变,故有效地避免了因点云结构变动而产生的附加计算量。运用该技术,结合非定常Euler方程双时间步无网格算法,成功地模拟了翼型的跨声速非定常流动。其中物理时间迭代采用二阶隐式格式,伪时间迭代采用四步龙格-库塔显式格式。文中给出了不同翼型的计算结果,并与实验结果进行了比较,取得了令人满意的结果。
【Abstract】 A novel dynamic cloud method based on Delaunay graph mapping strategy is proposed and the dynamic cloud method is used by algebraic mapping principles,thus the points can be accurately redistributed in the flow field without any iteration.In this method,the topology of the gridless clouds is unchanged,so that the cloud regeneration can be avoided.Besides the spatial discretization,a dual time-stepping method is further implemented to solve twodimensional unsteady Euler equations.An explicit fourth-stage Runge-Kutta scheme is used to advance the flow equations in pseudo time.Finally,the unsteady transonic flows over two different oscillating airfoils are simulated.Calculational results are in agreement with the experimental data.
【Key words】 moving boundary; unsteady flow; gridless method; dual time-stepping; Delaunay graph mapping;
- 【文献出处】 南京航空航天大学学报 ,Journal of Nanjing University of Aeronautics & Astronautics , 编辑部邮箱 ,2009年03期
- 【分类号】V211.3
- 【被引频次】18
- 【下载频次】291