A mixed volume element with upwind multistep mixed volume element and convergence analysis for numerical simulation of nuclear waste contaminant disposal
作者: Changfeng LiYirang YuanHuailing Song
作者单位: 1Institute of Mathematics, Shandong University, Jinan 250100, China
2School of Economics, Shandong University, Jinan 250100, China
3College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
刊名: Journal of Computational and Applied Mathematics, 2019, Vol.356 , pp.164-181
来源数据库: Elsevier Journal
DOI: 10.1016/j.cam.2019.01.035
关键词: Nuclear waste contamination in porous mediaMixed volume element with upwind multistep mixed volume elementConservation of mass and energyConvergence analysisNumerical computation
原始语种摘要: Abstract(#br)In this paper the authors discuss a numerical simulation problem of three-dimensional contamination treatment from nuclear waste. The mathematical model is defined by a nonlinear system of an initial–boundary problem of four partial differential equations: an elliptic equation for the fluid pressure, three convection–diffusion equations for the brine, radionuclides and heat. The pressure appears within the concentration equations and heat conduction equation, and the Darcy velocity controls the concentrations and the temperature. The pressure is solved by the conservative mixed volume element method, and the order of accuracy is improved by the Darcy velocity. The concentrations and temperature are treated by a combination of a multistep method, the upwind approximation and a...
全文获取路径: Elsevier  (合作)

  • waste 岩屑
  • mixed 混合的
  • disposal 处理
  • multistep 多步的
  • contaminant 沾染物质
  • element 元素
  • volume 体积
  • upwind 上升风
  • concentrations 浓聚物
  • numerical 数字的