On maximum-principle-satisfying high order schemes for scalar conservation laws
作者: Xiangxiong ZhangChi-Wang Shu
作者单位: 1Department of Mathematics, Brown University, Providence, RI 02912, United States
2Division of Applied Mathematics, Brown University, Providence, RI 02912, United States
刊名: Journal of Computational Physics, 2009, Vol.229 (9), pp.3091-3120
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2009.12.030
关键词: Hyperbolic conservation lawsFinite volume schemeDiscontinuous Galerkin methodEssentially non-oscillatory schemeWeighted essentially non-oscillatory schemeMaximum principleHigh order accuracyStrong stability preserving time discretizationPassive convection equationIncompressible flow
英文摘要: Abstract(#br)We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. essentially non-oscillatory (ENO) or weighted ENO (WENO) schemes) or discontinuous Galerkin (DG) method with first order Euler forward time discretization solving one-dimensional scalar conservation laws. Strong stability preserving (SSP) high order time discretizations will keep the maximum principle. It is straightforward to extend the method to two and higher dimensions on rectangular meshes. We also show that the same limiter can preserve the maximum principle for DG or finite volume schemes solving two-dimensional incompressible...
全文获取路径: Elsevier  (合作)
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影响因子:2.138 (2012)

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关键词翻译
关键词翻译
  • scheme 略图
  • conservation 保存
  • principle 原理
  • essentially 本质上
  • oscillatory 振动的
  • convection 对流
  • maximum 最大值
  • preserving 保藏
  • order 
  • satisfying 饱和