A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
作者: Xiangxiong Zhang
作者单位: 1Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, United States
刊名: Journal of Computational Physics, 2016, Vol.308 , pp.153-170
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2015.12.036
关键词: Discontinuous GalerkinCurved boundaryLocal discontinuous Galerkin methodHigh order accuracyConservation lawsWave equations
原始语种摘要: Abstract(#br)For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial basis functions on a geometry fitting triangular mesh. It is well known that directly imposing the given boundary conditions on a piecewise segment approximation boundary Γ h will render any finite element method to be at most second order accurate. Unless the boundary conditions can be accurately transferred from Γ to Γ h , in general curvilinear element method should be used to obtain high order accuracy. We discuss a simple boundary treatment which can be implemented as a modified DG scheme defined on triangles adjacent to Γ h . Even though integration along the curve is still necessary, integrals...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • curved 弯的
  • boundary 边界
  • accurate 精确的
  • discontinuous 不连续的
  • curvilinear 曲线的
  • dependent 从属的
  • render 三层涂抹
  • integration 集成
  • piecewise 分段
  • treatment 处理