Mixed finite volume element-upwind mixed volume element of compressible two-phase displacement and its numerical analysis
作者: Yirang YuanChangfeng LiHuailing Song
作者单位: 1Institute of Mathematics, Shandong University, Jinan, 250100, PR China
2School of Economics, Shandong University, Jinan, 250100, PR China
3College of Mathematics and Econometrics, Hunan University, Changsha, 410082, PR China
刊名: Journal of Computational and Applied Mathematics, 2020, Vol.370
来源数据库: Elsevier Journal
DOI: 10.1016/j.cam.2019.112637
关键词: Three-dimensional compressible displacementConservation of massMixed volume element-upwind mixed volume elementConvergence analysisNumerical experiment
原始语种摘要: Abstract(#br)A fundamental topic in numerical simulation of two-phase displacement is discussed in this paper. The mathematical model for the compressible problem is defined mainly by two nonlinear partial differential equations: a parabolic equation for the pressure and a convection–diffusion equation for the saturation. The Darcy velocity is determined by the pressure, and affects the whole physical process. The system is solved by a composite numerical scheme. The conservative mixed volume element is used for the first equation. The computational accuracy is improved for the Darcy velocity. The second equation is solved by a conservative upwind mixed volume element, where the mixed volume element and upwind approximation treat the diffusion and convection, respectively. The upwind...
全文获取路径: Elsevier  (合作)
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关键词翻译
关键词翻译
  • compressible 可压缩性的
  • upwind 上升风
  • displacement 迁移
  • mixed 混合的
  • numerical 数字的
  • element 元素
  • volume 体积
  • analysis 分析
  • convection 对流
  • scheme 略图