A characteristic centred finite difference method for a 2D air pollution model

A characteristic centred finite difference method for a 2D air pollution model
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二维空气污染模型的以特征为中心的有限差分法

DOI:
10.1080/00207160.2010.534139
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发表时间:
2011-07
影响因子:
1.8
通讯作者:
Wang, Quanxiang
Wang, Quanxiang
中科院分区:
数学4区
文献类型:
--
作者:
Zhang, Zhiyue;Wang, Yuping;Wang, Quanxiang

文献摘要

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本文提出了一种非均匀网格上的特征中心差分方法,用于求解大气污染模式问题。给出了空气污染物浓度及其一阶导数空间变量的数值解和误差估计。该方法的计算量与基于线性插值的特征差分法相同。数值解的误差阶数与基于二次插值的特征差分法的误差阶数相同。最后通过数值算例说明了该方法的可行性和有效性。
In this paper, we propose a characteristic centred finite difference method on non-uniform grids to solve the problem of the air pollution model. Numerical solutions and error estimates of the air pollution concentration and its first-order derivatives for space variables are obtained. The computational cost of the method is the same as that of the characteristic difference method based on a linear interpolation. The error order of the numerical solutions is the same as that of the characteristic difference method based on a quadratic interpolation. At last, we give numerical examples to illustrate feasibility and efficiency of this method.
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