论文标题
用于减轻三角网格SGH lagrangian模拟中棋盘振荡的物质流量方法
Matter flow method for alleviating checkerboard oscillations in triangular mesh SGH Lagrangian simulation
论文作者
论文摘要
当基于三角形网格的SGH拉格朗日用于模拟可压缩的流体动力学时，由于三角形网格的刚度，很容易发生物理数量细胞到细胞的空间振荡问题（也称为“ Checkerboard振荡”）。提出了一种物质流量方法来减轻由三角形刚度引起的物理量的振荡。这种方法的基本思想是将三角形的刚度归因于三角形网格的边缘无法进行弯曲运动，并通过物质流动的弯曲运动效应。在我们的物质流量方法中考虑了三种影响：（1）移动物质携带的质量，动量和能量的运输； （2）在元素上完成的工作，因为物质的流动会改变网格元素的特定体积； （3）物质流对元素应变率的影响。数值实验表明，提出的物质流量方法可以有效地减轻物理量的空间振荡。
When the SGH Lagrangian based on triangle mesh is used to simulate compressible hydrodynamics, because of the stiffness of triangular mesh, the problem of physical quantity cell-to-cell spatial oscillation (also called "checkerboard oscillation") is easy to occur. A matter flow method is proposed to alleviate the oscillation of physical quantities caused by triangular stiffness. The basic idea of this method is to attribute the stiffness of triangle to the fact that the edges of triangle mesh can not do bending motion, and to compensate the effect of triangle edge bending motion by means of matter flow. Three effects are considered in our matter flow method: (1) transport of the mass, momentum and energy carried by the moving matter; (2) the work done on the element, since the flow of matter changes the specific volume of the grid element; (3) the effect of matter flow on the strain rate in the element. Numerical experiments show that the proposed matter flow method can effectively alleviate the spatial oscillation of physical quantities.
