Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
作者: Cheng WangXiangxiong ZhangChi-Wang ShuJianguo Ning
作者单位: 1State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, PR China
2Department of Mathematics, Brown University, Providence, RI 02912, United States
3Division of Applied Mathematics, Brown University, Providence, RI 02912, United States
刊名: Journal of Computational Physics, 2011, Vol.231 (2), pp.653-665
来源数据库: Elsevier Journal
DOI: 10.1016/
关键词: Discontinuous Galerkin methodPositivity preservingHigh order accuracyGaseous detonations
英文摘要: Abstract(#br)One of the main challenges in computational simulations of gas detonation propagation is that negative density or negative pressure may emerge during the time evolution, which will cause blow-ups. Therefore, schemes with provable positivity-preserving of density and pressure are desired. First order and second order positivity-preserving schemes were well studied, e.g.,[6,10]. For high order discontinuous Galerkin (DG) method, even though the characteristicwise TVB limiter in[1,2] can kill oscillations, it is not sufficient to maintain the positivity. A simple solution for arbitrarily high order positivity-preserving schemes solving Euler equations was proposed recently in[22]. In this paper, we first discuss an extension of the technique in[22–24] to design arbitrarily high...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • preserving 保藏
  • discontinuous 不连续的
  • accuracy 准确度
  • dimensional 量纲的
  • order 
  • gaseous 气状的
  • method 方法