Finite difference methods for solving the two‐dimensional advection–diffusion equation
Finite difference methods for solving the two‐dimensional advection–diffusion equation
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DOI：
10.1002/fld.1650090107
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发表时间：
1989
影响因子：
1.8
通讯作者：
B. J. Noye;H. H. Tan-H.
中科院分区：
文献类型：
--
作者：
B. J. Noye;H. H. Tan-H.
利用加权离散和修正的等价偏微分方程法，发展了求解二维对流扩散方程的几种精确有限差分方法，并成功地应用于一维情形。在稳定性和精度方面与传统的有限差分方法进行了比较。新方法比传统方法更准确，而且往往更稳定。
Using weighted discretization with the modified equivalent partial differential equation approach, several accurate finite difference methods are developed to solve the two‐dimensional advection–diffusion equation following the success of its application to the one‐dimensional case. These new methods are compared with the conventional finite difference methods in terms of stability and accuracy. The new methods are more accurate and often more stable than the conventional schemes.