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首页> 外文期刊>International Journal of Heat and Mass Transfer >Numerical solution for temporally and spatially dependent solute dispersion of pulse type input concentration in semi-infinite media
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Numerical solution for temporally and spatially dependent solute dispersion of pulse type input concentration in semi-infinite media

机译：半无限介质中脉冲型输入浓度随时间和空间变化的溶质弥散的数值解

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摘要

One-dimensional advection-diffusion equation with variable coefficients in semi-infinite media is solved numerically by the explicit finite difference method for two dispersion problems: (i) temporally dependent dispersion along a uniform flow and (ii) spatially dependent dispersion along a non-uniform flow. A uniform pulse type input condition and the initial solute concentration that decreases with distance are considered. 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 the advection-diffusion equation with variable coefficients in semi-infinite media, which is especially important when arbitrary initial and boundary conditions are required.
机译：对于两个色散问题，通过显式有限差分方法对半无限介质中具有可变系数的一维对流扩散方程进行数值求解：（i）沿均匀流的时间相关色散和（ii）沿非均值流的空间相关色散均匀流动。考虑均匀的脉冲类型输入条件和随距离减小的初始溶质浓度。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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