Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method
Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method
复制标题
使用平滑粒子流体动力学方法模拟 2D 和 3D 表面张力
DOI：
10.1016/j.jcp.2010.06.010
复制
发表时间：
2010-09
影响因子：
4.1
通讯作者：
Mingyu Zhang
中科院分区：
文献类型：
--
作者：
Mingyu Zhang
提出了用光滑粒子流体力学（SPH）方法模拟二维和三维表面张力的方法。在二维表面张力模型中，根据Dilts [G.A.]提出的算法动态检测二维边界上的SPH粒子杨建军，李建军。移动最小二乘粒子流体动力学II：守恒和边界，工程力学学报48(2000):1503-1524。利用拉格朗日插值多项式局部重建二维边界曲线。在三维表面张力模型中，根据Haque和Dilts [A]提出的算法动态检测三维边界上的SPH粒子。李志强，张志强，三维边界检测方法的研究[j].计算机工程学报，2007(4):557 - 557。采用移动最小二乘（MLS）方法局部重建三维边界曲面。通过对坐标系的变换，保证了接口函数在局部坐标系中为一值。根据重构的边界面，计算出边界面的法向量和曲率，进而计算出表面张力。表面张力只作用于边界粒子。为了消除边界不一致性，对边界粒子进行了密度校正。二维和三维表面张力模型已应用于表面张力基准测试。验证了现有方法适用于二维和三维表面张力模拟的能力。
The methods for simulating surface tension with smoothed particle hydrodynamics (SPH) method in two dimensions and three dimensions are developed. In 2D surface tension model, the SPH particle on the boundary in 2D is detected dynamically according to the algorithm developed by Dilts [G.A. Dilts, Moving least-squares particle hydrodynamics II: conservation and boundaries, International Journal for Numerical Methods in Engineering 48 (2000) 1503–1524]. The boundary curve in 2D is reconstructed locally with Lagrangian interpolation polynomial. In 3D surface tension model, the SPH particle on the boundary in 3D is detected dynamically according to the algorithm developed by Haque and Dilts [A. Haque, G.A. Dilts, Three-dimensional boundary detection for particle methods, Journal of Computational Physics 226 (2007) 1710–1730]. The boundary surface in 3D is reconstructed locally with moving least squares (MLS) method. By transforming the coordinate system, it is guaranteed that the interface function is one-valued in the local coordinate system. The normal vector and curvature of the boundary surface are calculated according to the reconstructed boundary surface and then surface tension force can be calculated. Surface tension force acts only on the boundary particle. Density correction is applied to the boundary particle in order to remove the boundary inconsistency. The surface tension models in 2D and 3D have been applied to benchmark tests for surface tension. The ability of the current method applying to the simulation of surface tension in 2D and 3D is proved.
登录
查看更多内容
SPH法热喷涂过程中基体熔化和变形的数值研究
影响因子：
3.6
作者：
Lili Zheng;Hui Zhang;Mingyu Zhang
通讯作者：
Mingyu Zhang
DOI：
10.1002/1097-0207(20000810)48:10
发表时间：
2000-08
影响因子：
2.9
作者：
J. Yoo;N. Kikuchi
通讯作者：
J. Yoo;N. Kikuchi
影响因子：
4.1
作者：
Y. Chang;T. Hou;B. Merriman;S. Osher
通讯作者：
Y. Chang;T. Hou;B. Merriman;S. Osher
影响因子：
2.4
作者：
Nugent, S;Posch, HA
通讯作者：
Posch, HA
DOI：
10.1201/9781315373140-19
发表时间：
2016-11
期刊：
Simulation of Additive Manufacturing using Meshfree Methods
影响因子：
--
作者：
Donald H. House;John Keyser
通讯作者：
Donald H. House;John Keyser