Mixed Volume Element-Characteristic Fractional Step Difference Method for Contamination from Nuclear Waste Disposal

作者： | Changfeng Li, Yirang Yuan, Tongjun Sun, Qing Yang |

作者单位： |
^{1}Shandong University^{2}Shandong Normal University |

刊名： | Journal of Scientific Computing, 2017, Vol.72 (2), pp.467-499 |

来源数据库： | Springer Journal |

DOI： | 10.1007/s10915-017-0365-3 |

关键词： | Nuclear waste disposal contamination in porous media; Mixed volume element-characteristic fractional step; Local conservation of mass; Second order error in \(L^2\); Numerical experiment; 65M15; 65N30; 65N12; 76S05; |

英文摘要： | A nonlinear system with boundary-initial value conditions of convection–diffusion partial differential equations is presented to describe incompressible nuclear waste disposal contamination in porous media. The flow pressure is determined by an elliptic equation, the concentrations of brine and radionuclide are formulated by convection–diffusion equations, and the transport of temperature is defined by a heat equation. The pressure appears in convection–diffusion equations and heat equation in the form of Darcy velocity and controls the physical processes. The fluid pressure and velocity are solved by the conservative mixed volume element and the computation accuracy of Darcy velocity is improved one order. A combination method of the mixed volume element and the approximation of... |

原始语种摘要： | A nonlinear system with boundary-initial value conditions of convection–diffusion partial differential equations is presented to describe incompressible nuclear waste disposal contamination in porous media. The flow pressure is determined by an elliptic equation, the concentrations of brine and radionuclide are formulated by convection–diffusion equations, and the transport of temperature is defined by a heat equation. The pressure appears in convection–diffusion equations and heat equation in the form of Darcy velocity and controls the physical processes. The fluid pressure and velocity are solved by the conservative mixed volume element and the computation accuracy of Darcy velocity is improved one order. A combination method of the mixed volume element and the approximation of... |