Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems
作者: Yingda ChengIrene M. GambaPhilip J. Morrison
作者单位: 1Department of Mathematics, Michigan State University
2Department of Mathematics and ICES, University of Texas at Austin
3Department of Physics and Institute for Fusion Studies, University of Texas at Austin
刊名: Journal of Scientific Computing, 2013, Vol.56 (2), pp.319-349
来源数据库: Springer Nature Journal
DOI: 10.1007/s10915-012-9680-x
关键词: Vlasov–PoissonDiscontinuous Galerkin methodsRecurrencePositivity-preservingBGK modeKEEN wave
英文摘要: Abstract(#br)In this paper we consider Runge–Kutta discontinuous Galerkin (RKDG) schemes for Vlasov–Poisson systems that model collisionless plasmas. One-dimensional systems are emphasized. The RKDG method, originally devised to solve conservation laws, is seen to have excellent conservation properties, be readily designed for arbitrary order of accuracy, and capable of being used with a positivity-preserving limiter that guarantees positivity of the distribution functions. The RKDG solver for the Vlasov equation is the main focus, while the electric field is obtained through the classical representation by Green’s function for the Poisson equation. A rigorous study of recurrence of the DG methods is presented by Fourier analysis, and the impact of different polynomial spaces and the...
全文获取路径: Springer Nature  (合作)
影响因子:1.71 (2012)

  • Poisson 泊松
  • discontinuous 不连续的
  • conservation 保存
  • recurrence 循环
  • systems 系统科学与软件