On the treatment of solid boundary in smoothed particle hydrodynamics
On the treatment of solid boundary in smoothed particle hydrodynamics
复制标题
光滑粒子流体力学中固体边界的处理
DOI：
10.1007/s11431-011-4663-y
复制
发表时间：
2012-01-01
影响因子：
4.6
通讯作者：
Chang JianZhong
中科院分区：
文献类型：
--
作者：
Liu MouBin;Shao JiaRu;Chang JianZhong
作为一种流行的无网格粒子方法，平滑粒子流体动力学（SPH）一直受到无法直接实现固体边界条件的困扰。这影响了SPH逼近精度并阻碍了其进一步发展和应用于工程和科学问题。本文在研究了现有SPH SBT算法的特点后，提出了一种耦合动态实体边界处理（SBT）算法。耦合动态SBT算法的新颖性包括接近流体和固体颗粒之间的新排斥力，以及用于估计虚拟固体颗粒场函数的新数值近似方案。新的 SBT 算法已经通过三个数值示例进行了检验，包括典型的溃坝流、具有尖锐边缘障碍物的溃坝流以及进水问题。结果表明，采用这种耦合动态边界算法的SPH可以得到具有平滑压力场的准确结果，并且新的SBT算法也适用于复杂甚至移动的固体边界。
As a popular meshfree particle method, the smoothed particle hydrodynamics (SPH) has suffered from not being able to directly implement the solid boundary conditions. This influences the SPH approximation accuracy and hinders its further development and application to engineering and scientific problems. In this paper, a coupled dynamic solid boundary treatment (SBT) algorithm has been proposed, after investigating the features of existing SPH SBT algorithms. The novelty of the coupled dynamic SBT algorithm includes a new repulsive force between approaching fluid and solid particles, and a new numerical approximation scheme for estimating field functions of virtual solid particles. The new SBT algorithm has been examined with three numerical examples including a typical dam-break flow, a dam-break flow with a sharp-edged obstacle, and a water entry problem. It is demonstrated that SPH with this coupled dynamic boundary algorithm can lead to accurate results with smooth pressure field, and that the new SBT algorithm is also suitable for complex and even moving solid boundaries.