张锡治, 朱贞卫, 孟祥良. 计算平流过程的一种高精度离散格式及数值试验[J]. 工程力学, 2009, 26(2): 253-256.
引用本文: 张锡治, 朱贞卫, 孟祥良. 计算平流过程的一种高精度离散格式及数值试验[J]. 工程力学, 2009, 26(2): 253-256.
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.

计算平流过程的一种高精度离散格式及数值试验

A HIGH PRECISION DISCRETIZATION METHOD FOR SOLVING CONVECTION DIFFUSION EQUATION (ADVECTIVE PROCESSES) AND NUMERICAL EXPERIMENTS

  • 摘要: 该文提出了一种用泰勒-伽辽金有限元法进行数值模拟的高精度离散格式。应用此格式在旋转流场中对二维纯平流问题浓度场的变化进行了数值试验,并同迎风格式、Crank-Nicolson格式、Lax-Wendroff格式、蛙跳格式的数值模拟结果进行了对比分析。数值试验结果表明:该离散格式具有较高的精确度和较好的稳定性,还具有求解速度快、位相误差小的优点,适合应用于平流过程的高质量的模式中。

     

    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.

     

/

返回文章
返回