Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa–Wielgosz scheme
Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa–Wielgosz scheme
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DOI：
10.1007/s00466-012-0708-8
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发表时间：
2013
影响因子：
4.1
通讯作者：
L. Mahéo;V. Grolleau;G. Rio
中科院分区：
文献类型：
--
作者：
L. Mahéo;V. Grolleau;G. Rio
在求解结构动力学问题时，采用空间和时间离散化的有限元和有限差分方法会产生纯数值误差。在许多数值方法中，用于阻尼的寄生振荡发生在高频域中，它是在这里提出的分析和比较体粘度法，其中包括计算的应力，和最近提出的Tchamwa和Wielgosz，这是基于一个显式的时间积分算法的方法。本文提出的一维和二维受压缩和冲击载荷的轴对称杆的研究表明，前者对啮合不规则性不敏感，而后者则不然。然而，与Tchamwa-Wielgosz方法相反，发现体积粘度方法对材料的行为敏感。由于这类比较相当复杂，因此开发了一种特定的分析方法。
The use of Finite Element and Finite Difference methods of spatial and temporal discretization for solving structural dynamics problems gives rise to purely numerical errors. Among the many numerical methods used to damp out the spurious oscillations occurring in the high frequency domain, it is proposed here to analyse and compare the Bulk Viscosity method, which involves calculating the stresses, and a method recently presented by Tchamwa and Wielgosz, which is based on an explicit time integration algorithm. The 1-D study and the 2-D axisymmetric study on a bar subjected to compression and impact loads presented here show that the former method is insensitive to meshing irregularities, whereas the latter method is not. The Bulk Viscosity method was found to be sensitive, however, to the behavior of the material, contrary to the Tchamwa–Wielgosz method. Since comparisons of this kind are rather complex, a specific method of analysis was developed.