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首页> 外文期刊>International Journal of Heat and Mass Transfer >Finite difference solution of the one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media
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Finite difference solution of the one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media

机译：半无限介质中一维变系数对流扩散方程的有限差分解

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摘要

One-dimensional advection-diffusion equation with variable coefficients in semi-infinite media is solved using explicit finite difference method for three dispersion problems: (i) solute dispersion along steady flow through inhomogeneous medium, (ii) temporally dependent solute dispersion along uniform flow through homogeneous medium, and (iii) solute dispersion along temporally dependent unsteady flow through inhomogeneous medium. The continuous point source of uniform nature is considered at the origin of the medium. Results are compared to analytical solutions reported in the literature and good agreement was found. We have shown that explicit finite difference method is effective and accurate for solving advection-diffusion equation with variable coefficients in semi-infinite media, which is especially important when arbitrary initial and boundary conditions are required.
机译：使用显式有限差分法求解三个色散问题，从而解决了半无限介质中一维变系数对流扩散方程：（i）沿非均匀介质通过稳定流的溶质弥散；（ii）沿均匀流通过溶质的时间相关溶质弥散均质介质；以及（iii）溶质沿时间相关的非稳态流动通过非均质介质。具有均匀性质的连续点源被认为是介质的起源。将结果与文献中报道的分析解决方案进行比较，发现很好的一致性。我们已经表明，显式有限差分法对于求解半无限介质中具有可变系数的对流扩散方程是有效且准确的，这在需要任意初始条件和边界条件时尤其重要。

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