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ZHANG Xi-zhi, ZHU Zhen-wei, MENG Xiang-liang. A HIGH PRECISION DISCRETIZATION METHOD FOR SOLVING CONVECTION DIFFUSION EQUATION (ADVECTIVE PROCESSES) AND NUMERICAL EXPERIMENTS[J]. Engineering Mechanics, 2009, 26(2): 253-256.
Citation: ZHANG Xi-zhi, ZHU Zhen-wei, MENG Xiang-liang. A HIGH PRECISION DISCRETIZATION METHOD FOR SOLVING CONVECTION DIFFUSION EQUATION (ADVECTIVE PROCESSES) AND NUMERICAL EXPERIMENTS[J]. Engineering Mechanics, 2009, 26(2): 253-256.
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A HIGH PRECISION DISCRETIZATION METHOD FOR SOLVING CONVECTION DIFFUSION EQUATION (ADVECTIVE PROCESSES) AND NUMERICAL EXPERIMENTS

  • (1. Architectural Design and Research Institute of Tianjin University, Tianjin 300072, China; 2. Command and Engineering College of Chemical Defense of Chinese PLA, Beijing 102205, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
    Graphical Abstract
    • Abstract
  • A discretization method for the numerical simulation of advective process using Talor Galerkin finite element method is proposed. Numerical experiment is carried out for various concentrations in the two dimensional advective process in the rotational flow field. The results are compared with those of the numerical simulation using upwind difference scheme, Crank-Nicolson scheme, Lax-Wendroff scheme and leap-frog schemes. The results of numerical experiments show that the proposed method is accurate, stable, and efficient with small phase error and can be used in high precision simulation of advective processes.
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