上海交通大学学报

上海交通大学学报（自然版）

• 数学 • 上一篇    

用于任意拉格朗日欧拉有限元模拟的物理量重映算法

庄新村，吴瑜，赵震，向华   

  1. (上海交通大学 塑性成形工程系， 上海 200030)
  • 收稿日期:2009-04-13 修回日期:1900-01-01 出版日期:2010-01-29 发布日期:2010-01-29

Remapping Algorithm of Physical Variables Used in Arbitrary LagrangianEulerian Simulation

ZHUANG Xincun,WU Yu,ZHAO Zhen,XIANG Hua   

  1. (Department of Plasticity Technology, Shanghai Jiaotong University, Shanghai 200030, China)
  • Received:2009-04-13 Revised:1900-01-01 Online:2010-01-29 Published:2010-01-29

摘要： 借鉴流体力学中的水波传播思想，将物理量重映作为对流问题处理，采用显式二阶RungeKutta间断迦辽金有限元法结合限制器的求解策略来实现物理量重映并加以求解.结果表明，该方法可以有效改善重映结果的耗散性以及局部振荡性，并提高ALE有限元法的求解精度.

关键词: 任意拉格朗日欧拉法, 间断迦辽金法, 重映算法, 对流问题

Abstract: During the arbitrary LagrangianEulerian (ALE) simulation, once the mesh moving, the variables related to the deformation history must be transferred from the old mesh to the new mesh so as to continue the next computational step. According to the theory of water wave transportation in hydrodynamics, the remapping procedure can be assumed as an advection problem. In this study, a remapping algorithm based on the combination of explicit second order RungeKutta discontinuous Galerkin method and limiter was used, which can eliminate the dispersion and local oscillation of the remapping result, and further improve the calculation accuracy of ALE simulation.

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