Is Discontinuous Reconstruction Really a Good Idea?
作者: Philip Roe
作者单位: 1University of Michigan
刊名: Journal of Scientific Computing, 2017, Vol.73 (2-3), pp.1094-1114
来源数据库: Springer Nature Journal
DOI: 10.1007/s10915-017-0555-z
关键词: Hyperbolic conservation lawsNumerical advectionCompressible flowWave equations
原始语种摘要: It has been almost automatically assumed for a quarter century that the numerical solution of hyperbolic conservation laws is best accomplished by making a reconstruction of the initial data that is only piecewise continuous. The effect of the discontinuities is taken into account by means of Riemann solvers. This strategy has enjoyed great practical success but introduces only one-dimensional physics as a guide to the discretization of multidimensional problems. This article points out some of the resulting defects and proposes an alternative viewpoint. The chief novelty of the new “Active Flux” method, apart from the elimination of discontinuities, is the division into advective and acoustic disturbances, with acoustics being handled by exploiting classical solutions to the scalar wave...
全文获取路径: Springer Nature  (合作)
影响因子:1.71 (2012)

  • viewpoint 对景点
  • effectiveness 有效性
  • acoustics 声学
  • reconstruction 复原
  • account 计算
  • piecewise 分段
  • automatically 自动地
  • success 成功
  • making 制定
  • classical 经典的