A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations
作者: Yuan LiuYingda ChengChi-Wang Shu
作者单位: 1Mississippi State University
2Michigan State University
3Brown University
刊名: Journal of Scientific Computing, 2017, Vol.73 (2-3), pp.1028-1071
来源数据库: Springer Journal
DOI: 10.1007/s10915-017-0395-x
关键词: Bound-preservingConservative schemesFourier spectral methodsHigh order finite difference and finite volume methods
英文摘要: In this paper, we propose a simple bound-preserving sweeping procedure for conservative numerical approximations. Conservative schemes are of importance in many applications, yet for high order methods, the numerical solutions do not necessarily satisfy maximum principle. This paper constructs a simple sweeping algorithm to enforce the bound of the solutions. It has a very general framework acting as a postprocessing step accommodating many point-based or cell average-based discretizations. The method is proven to preserve the bounds of the numerical solution while conserving a prescribed quantity designated as a weighted average of values from all points. The technique is demonstrated to work well with a spectral method, high order finite difference and finite volume methods for scalar...
原始语种摘要: In this paper, we propose a simple bound-preserving sweeping procedure for conservative numerical approximations. Conservative schemes are of importance in many applications, yet for high order methods, the numerical solutions do not necessarily satisfy maximum principle. This paper constructs a simple sweeping algorithm to enforce the bound of the solutions. It has a very general framework acting as a postprocessing step accommodating many point-based or cell average-based discretizations. The method is proven to preserve the bounds of the numerical solution while conserving a prescribed quantity designated as a weighted average of values from all points. The technique is demonstrated to work well with a spectral method, high order finite difference and finite volume methods for scalar...
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:1.71 (2012)

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关键词翻译
关键词翻译
  • preserving 保藏
  • sweeping 掠过
  • bounds 界限
  • spectral 谱的
  • finite 有限的
  • postprocessing 后加工
  • procedure 手续
  • preserve 保存
  • points 
  • framework 构架