An approximate 2D Riemann solvers and high-order cell-centered Lagrangian scheme for two-dimensional

• 作 者: Jun-BoCheng[1]SongJiang[1]EleuterioF.Toro[2]
• 机 构: Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Bei
• 出 处: 第十七届全国流体力学数值方法研讨会
• 发表日期: 2015年期

　　We introduce a high-order cell-centered Lagrangian scheme for two dimensional elastic-plastic problems with the hypo-elastic constitutive model and the von Mises yield criterion.There are many numerical methods for it, including staggered Lagrangian schemes, Eulerian Godunov schemes and cell-centered Lagrangian schemes.In these methods, however, the wave structure is not exploited in the construction of the methods.Because the hypo-elastic constitutive model is a non-conservative equation, it is difficult to build an approximate Riemann solver in the normal direction of cell edge for the governing equations with the hypo-elastic constitutive model.