用于平流扩散方程的一种高阶分裂格式。
A high-order splitting scheme for the advection-diffusion equation.
作者信息
Zheng Y H, Shen Y M, Qiu D H
机构信息
Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510070, China.
出版信息
J Environ Sci (China). 2001 Oct;13(4):444-8.
A high-order splitting scheme for the advection-diffusion equation of pollutants is proposed in this paper. The multidimensional advection-diffusion equation is splitted into several one-dimensional equations that are solved by the scheme. Only three spatial grid points are needed in each direction and the scheme has fourth-order spatial accuracy. Several typically pure advection and advection-diffusion problems are simulated. Numerical results show that the accuracy of the scheme is much higher than that of the classical schemes and the scheme can be efficiently solved with little programming effort.
本文提出了一种用于污染物平流扩散方程的高阶分裂格式。将多维平流扩散方程分解为若干个一维方程，并用该格式求解。每个方向仅需三个空间网格点，该格式具有四阶空间精度。对几个典型的纯平流和平流扩散问题进行了模拟。数值结果表明，该格式的精度远高于经典格式，且只需很少的编程工作量就能有效求解。
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