Application of normalized SPH method to inviscid fluid flows with large deformation of free surface
Application of normalized SPH method to inviscid fluid flows with large deformation of free surface
复制标题
归一化SPH方法在自由面大变形无粘流体流动中的应用
DOI：
10.1016/j.compfluid.2022.105554
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发表时间：
2022-07
影响因子：
2.8
通讯作者：
Shenshen Chen
中科院分区：
文献类型：
--
作者：
Yihua Xiao;Ziqiang Tang;Xiangfu Hong;Shenshen Chen
·推导了无粘流体流动的归一化SPH方法的公式。·提出了在自由表面施加动态边界条件的严格方法。·提出了一种基于核估计的边界求和算法。·归一化SPH方法成功应用于自由表面大变形建模。·归一化SPH方法可以产生比常规SPH方法更高的精度。最近提出了一种新的归一化光滑粒子流体动力学（SPH）方法，并将其应用于小变形瞬态固体力学问题。该方法克服了传统SPH方法的边界缺陷，无需麻烦的求逆校正矩阵，为边界条件的处理提供了方便。本文推导了一种用于模拟自由面大变形无粘流体流动的归一化SPH方法。本文讨论了该方法中动态自由面边界条件的处理，并与传统的SPH方法进行了理论比较。提出了一种基于核估计的边界求和方法，并与基于α形的方法进行了比较。将归一化SPH方法应用于无粘自由表面流动的数值模拟。数值结果表明，该方法能够模拟自由表面的大变形，并能产生比传统的SPH方法更高的精度，特别是在边界区域。新发展的核估计方法用于计算边界求和比基于α形状的方法更有效，并使归一化SPH方法的计算效率接近常规SPH方法。为了模拟剧烈的自由表面流动，本文引入了粒子移动技术。利用该技术，该方法可用于模拟自由面的大变形、破碎和重联。
• A formulation of normalized SPH method for modeling inviscid fluid flows is derived. • Rigorous methods are proposed for imposing dynamic boundary condition at free surface. • An efficient method based on kernel estimation is proposed for calculation of boundary summation. • The normalized SPH method is successfully applied to modeling large deformation of free surface. • The normalized SPH method can produce higher accuracy than the conventional SPH method. A new normalized smoothed particle hydrodynamics (SPH) method has been presented recently and applied to transient solid mechanics problems of small deformation. The method can overcome boundary deficiency of the conventional SPH method without troublesome inversion of corrective matrix and provide convenience for treating boundary conditions. In this paper, a formulation of the normalized SPH method is derived for modeling inviscid fluid flows with large deformation of free surface. The treatment of dynamic free surface boundary conditions in the present method is addressed and theoretically compared with that in the conventional SPH method. A method based on kernel estimation is proposed for calculation of boundary summation and compared with the method based on α -shape. The normalized SPH method is applied to modeling inviscid free surface flows. Numerical results demonstrate that the present method is capable of modeling large deformation of free surface and can produce higher accuracy than the conventional SPH method, especially at boundary regions. The newly developed kernel estimation method for the calculation of boundary summation is more efficient than the α -shape-based method, and makes the computational efficiency of the normalized SPH method close to the conventional SPH method. To simulate violent free surface flows, a particle shifting technique is introduced in the present method. With this technique, the method is applied to simulating extremely large deformation, fragmentation and reconnection of free surface.
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DOI：
10.1016/j.cma.2018.06.029
发表时间：
2018-10
影响因子：
7.2
作者：
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通讯作者：
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影响因子：
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影响因子：
4.1
作者：
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影响因子：
2.5
作者：
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通讯作者：
SEIDEL, R
DOI：
10.1201/9781315373140-19
发表时间：
2016-11
期刊：
Simulation of Additive Manufacturing using Meshfree Methods
影响因子：
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作者：
Donald H. House;John Keyser
通讯作者：
Donald H. House;John Keyser